              IN THE UNITED STATES COURT OF APPEALS

                        FOR THE FIFTH CIRCUIT

               ___________________________________

                           No. 92-9005
               ___________________________________


UNITED STATES OF AMERICA,

                                                Plaintiff-Appellee,

                               versus

KENNETH DON WILLIAMS,

                                                Defendant-Appellant.

               ___________________________________

                           No. 93-1291
               ___________________________________


UNITED STATES OF AMERICA

                                                Plaintiff-Appellee,

                               versus

MICHAEL JOHN MULLINS,

                                                Defendant-Appellant.

      ____________________________________________________

      Appeals from the United States District Court for the
                    Northern District of Texas
      ____________________________________________________

                        ( April 20, 1994   )

Before GOLDBERG, DAVIS, and DeMOSS, Circuit Judges.

GOLDBERG, Circuit Judge:

       We consider in these appeals the appellants's challenges to

the trial court's definition of reasonable doubt.     Guided by the

Supreme Court's recent discussion of this issue in Victor v.
Nebraska, ___ U.S. ___, 114 S. Ct. 1239 (1994), and by the

realization that no court can guarantee the absolute certitude of

any definition of reasonable doubt, we find the instructions given

by the district court to be acceptable.            We also find that the

appellants's individual contentions do not warrant reversal of

their convictions.       We therefore affirm the judgments of the

district court.

                    I.   Facts and Proceedings Below

       Kenneth Don Williams was charged in a one count indictment

of being a convicted felon in possession of a firearm in violation

of 18 U.S.C. §§ 922(g)(1), 924(a)(2), and 924(e).          In a separate

and unrelated indictment, Michael John Mullins was charged with two

counts of being a convicted felon in possession of a firearm in

violation of 18 U.S.C. §§ 922(g)(1) and 924(e)(1).               Both men

pleaded not guilty, and each proceeded to trial.

       At   both   trials,   the   juries   were    instructed   that   the

government had to prove each element of the charged offenses beyond

a reasonable doubt.      The district court gave the juries the same

definition of reasonable doubt in both cases.            That definition

reads as follows:

       Proof beyond a reasonable doubt is proof that leaves you
       firmly convinced of a defendant's guilt.      There are few
       things in life that we know with absolute certainty, and in
       criminal cases the law does not require proof that a
       defendant is guilty beyond all possible doubt. If, based on
       your consideration of all the evidence, you are firmly
       convinced that a defendant is guilty of the crime charged,
       you must find him guilty. If, however, you think there is
       a real possibility that he is not guilty, you must give him
       the benefit of the doubt and find him not guilty.

(emphasis added by the appellants).

                                    2
       The jury in Williams's case convicted him on the one count

on which he was charged.           He was sentenced to serve a 240 month

term of imprisonment.    The jury in Mullins's case convicted him on

the first felon in possession of a firearm count on which he was

charged, but could not reach a verdict on the second count.             After

his trial but before sentencing, Mullins filed a motion to have

four prior Texas state felony convictions against him invalidated

for the purposes of sentencing.             The district court denied this

motion and    used   three    of    these   prior   convictions   to   enhance

Mullins's sentence under the Armed Career Criminal Act, 18 U.S.C.

§ 924(e).    Mullins was sentenced to 235 months of imprisonment.

       Both defendants appeal, contending that the district court's

definition of reasonable doubt understated the level of proof that

the government must meet to win a conviction and overstated the

level of uncertainty necessary before the jury must acquit a

defendant.    Each defendant also raises matters specific to his own

conviction.    We will examine these issues in turn.

                              II.     Discussion

                         A.    Reasonable Doubt

       The Due Process Clause of the Constitution requires the

government to prove every element of a charged offense beyond a

reasonable doubt.    In re Winship, 397 U.S. 358 (1970).          The Supreme

Court has recently observed that, "[a]lthough this standard is an

ancient and honored aspect of our criminal justice system, it

defies easy explication."      Victor v. Nebraska, 114 S. Ct. at 1242.

Perhaps for this reason, neither the Supreme Court nor this Court


                                        3
have ever required a particular definition of reasonable doubt to

be read to the jury.        See id. at 1243 ("[S]o long as the court

instructs the jury on the necessity that the defendant's guilt be

proven beyond a reasonable doubt, the Constitution does not require

that any particular form of words be used in advising the jury of

the     government's    burden      of       proof.")   (citation     omitted).1

Nevertheless, any definition of reasonable doubt that a district

court does use must, "taken as a whole, . . . correctly convey[]

the concept of reasonable doubt to the jury."                Holland v. United

States, 348 U.S. 121, 140 (1954).                If there is a "reasonable

likelihood that the jury understood the instructions to allow

conviction    based    on   proof   insufficient        to   meet   the   Winship

standard," then the instruction runs afoul of the Due Process

Clause, and the conviction must be reversed.             Victor, 114 S. Ct. at

1243.

          In this case, the Constitution is not our only benchmark.

Through our supervisory powers, we "may, within limits, formulate

      1
      Believing that all definitions of reasonable doubt are
damaging, at least two Federal Courts of Appeals have advised
against making any such attempt. See United States v. Adkins,
937 F.2d 947, 950 (4th Cir. 1991) ("This circuit has repeatedly
warned against giving the jury definitions of reasonable doubt,
because definitions tend to impermissibly lessen the burden of
proof."); United States v. Hall, 854 F.2d 1036, 1039 (7th Cir.
1988) ("[N]o attempt should be made to define reasonable doubt .
. . . [T]he point is that, at best, definitions of reasonable
doubt are unhelpful to a jury, and, at worst, they have the
potential to impair a defendant's constitutional right to have
the government prove each element beyond a reasonable doubt. An
attempt to define reasonable doubt presents a risk without any
real benefit."). In contrast, we have encouraged the district
courts in this Circuit to use this Circuit's Pattern Jury
Instruction on the definition of reasonable doubt. See infra
note 2.

                                         4
procedural rules not specifically required by the Constitution or

the Congress."   United States v. Hasting, 461 U.S. 499, 505 (1983).

Thus, in order "to preserve judicial integrity," id., we may

reverse the appellants's convictions if we are persuaded that the

district court's jury instruction is not acceptable, even though it

passes constitutional muster.   In this case, however, we find that

under any standard, the instruction that the district judge gave

acceptably defined reasonable doubt.

         The definition of reasonable doubt that the district court

gave the juries in the present cases is similar to a definition of

reasonable doubt endorsed by the Federal Judicial Center.       See

Federal Judicial Center, Pattern Criminal Jury Instructions 17-18

(1987) (instruction 21).2   However, the parentage of the district

     2
      The Federal Judicial Center's proposed definition of
reasonable doubt reads as follows:
       [T]he government has the burden of proving the defendant
       guilty beyond a reasonable doubt. Some of you may have
       served as jurors in civil cases, where you were told that
       it is only necessary to prove that a fact is more likely
       true than not true. In criminal cases, the government's
       proof must be more powerful than that. It must be beyond
       a reasonable doubt.
            Proof beyond a reasonable doubt is proof that leaves
       you firmly convinced of the defendant's guilt. There are
       very few things in this world that we know with absolute
       certainty, and in criminal cases the law does not require
       proof that overcomes every possible doubt. If, based on
       your consideration of the evidence, you are firmly
       convinced that the defendant is guilty of the crime
       charged, you must find him guilty. If on the other hand,
       you think there is a real possibility that he is not
       guilty, you must give him the benefit of the doubt and
       find him not guilty.
Federal Judicial Center, Pattern Criminal Jury Instructions 17-18
(1987) (instruction 21).
       The Fifth Circuit's Pattern Jury Instructions for criminal
cases offers an alternative definition of reasonable doubt. It
defines the government's burden of proof in a criminal case as

                                  5
court's definition of reasonable doubt is not all that recommends

it; previous panels of this Court have explicitly endorsed the very

instruction that the district court used in these cases.          See

United States v. Hunt, 794 F.2d 1095 (5th Cir. 1986); United States

v. Haggard, No. 92-1856 (5th Cir. Sept. 21, 1993) (unpublished).

       Nevertheless, the appellants argue that the district court's

definition of reasonable doubt, and by implication this Court's

opinion in Hunt and cases that have followed it, were drawn into

question by Cage v. Louisiana, 498 U.S. 39 (1990) (per curiam).    In

that case, a Louisiana state court trial judge instructed the

jurors as follows:

       [A reasonable doubt] is one that is founded upon a real
       tangible substantial basis and not upon mere caprice and
       conjecture. It must be such doubt as would give rise to a
       grave uncertainty, raised in your mind by reasons of the
       unsatisfactory character of the evidence or lack thereof.
       A reasonable doubt is not a mere possible doubt. It is an
       actual substantial doubt. It is a doubt that a reasonable
       man can seriously entertain. What is required is not an
       absolute or mathematical certainty, but a moral certainty.

Id. at 40 (emphasis supplied by the Court).        The emphasized

portions of the instruction in Cage rendered the charge used in



follows:
       A "reasonable doubt" is a doubt based upon reason and
       common sense after careful and impartial consideration of
       all the evidence in the case. Proof beyond a reasonable
       doubt, therefore, is proof of such a convincing character
       that you would be willing to rely and act upon it without
       hesitation in the most important of your own affairs.
United States Fifth Circuit District Judges Association, Pattern
Jury Instructions (Criminal Cases) 16 (1990) (instruction 1.06).
Although we do not require the use of this instruction, we have
encouraged the district courts in this Circuit to adopt this
instruction, hoping that "[a] measure of uniformity would . . .
render appellate review easier and quicker." United States v.
Hunt, 794 F.2d 1095, 1101 (5th Cir. 1986).

                                6
that case unconstitutional because it "suggest[ed] a higher degree

of doubt than is required for acquittal under the reasonable doubt

standard."     Id.   at   41.    The   Court    explained    that     when   the

highlighted portions of the charge were then "considered with the

reference to `moral certainty,' rather than evidentiary certainty,

it becomes clear that a reasonable juror could have interpreted the

instruction to allow a finding of guilt based on a degree of proof

below that required by the Due Process Clause."             Id.

        After this case was argued, the Supreme Court handed down

its opinion in Victor v. Nebraska, 114 S. Ct. 1239.               In that case,

the Court considered and rejected constitutional challenges to two

other state court definitions of reasonable doubt.                In the first

case, a California state court defined reasonable doubt as follows:

        [Reasonable doubt] is not a mere possible doubt; because
        everything relating to human affairs, and depending on moral
        evidence, is open to some possible or imaginary doubt. It
        is that state of the case which, after the entire comparison
        and consideration of all the evidence, leaves the minds of
        the jurors in that condition that they cannot say they feel
        an abiding conviction, to a moral certainty, of the truth of
        the charge.

Id. at 1244.    The Court rejected the defendant's contention that

use of the terms "moral evidence" and "moral certainty" rendered

the charge unconstitutional. The Court ruled that the reference to

"moral evidence" did not focus the jury's attention on the ethics

or morality of the defendant's acts; instead, the Court held that

the charge, taken as a whole, adequately instructed the jury to

consider the facts of the case.        Id. at 1247.   Similarly, the Court

held   that   the   reference   to   "moral    certainty",    although       more

problematic, and ambiguous in the abstract, did not render the

                                       7
instruction given in that case unconstitutional.              Other parts of

the   charge   (particularly    the       "abiding   conviction"    language)

supplied the instruction with the necessary content.                The Court

concluded that the charge "`impress[ed] upon the factfinder the

need to reach a subjective state of near certitude of the guilt of

the accused.'" Id. (quoting Jackson v. Virginia, 443 U.S. 307, 315

(1979)).   Finally, the Court held that the charge's instruction

that a reasonable doubt was "not a mere possible doubt" was not

objectionable.     This   was   for       the   simple   reason    that   "`[a]

"reasonable doubt," at a minimum, is one based upon a "reason."'

A fanciful doubt is not a reasonable doubt."             Id. at 1248 (quoting

Jackson, 443 U.S. at 317).

        In the second case that the Supreme Court considered in

Victor, a Nebraska state court defined reasonable doubt as follows:

        "Reasonable doubt" is such a doubt as would cause a
        reasonable and prudent person, in one of the graver and more
        important transactions of life, to pause and hesitate before
        taking the represented facts as true and relying and acting
        thereon. It is such a doubt as will not permit you, after
        full, fair, and impartial consideration of all the evidence,
        to have an abiding conviction, to a moral certainty, of the
        guilt of the accused.      At the same time, absolute or
        mathematical certainty is not required.         You may be
        convinced of the truth of a fact beyond a reasonable doubt
        and yet be fully aware that possibly you may be mistaken.
        You may find an accused guilty upon the strong probabilities
        of the case, provided such probabilities are strong enough
        to exclude any doubt of his guilt that is reasonable. A
        reasonable doubt is an actual and substantial doubt arising
        from the evidence, from the facts or circumstances shown by
        the evidence, or from the lack of evidence on the part of
        the state, as distinguished from a doubt arising from mere
        possibility, from bare imagination, or from fanciful
        conjecture.

Id. at 1249. The Court acknowledged that defining reasonable doubt

to be actual and substantial doubt was somewhat problematic because

                                      8
such a definition could be read to overstate the degree of doubt

required for acquittal.          Indeed, in Cage, the use of similar

language led the Court to hold that the definition of reasonable

doubt given in that case violated the Due Process Clause.            Cage,

498 U.S. at 41.3        However, the context in which the suspect

language appeared sufficiently eviscerated the difficulty with this

feature of the charge.      The instruction itself explained that "an

actual and substantial doubt" was to be "distinguished from a doubt

arising from mere possibility, from bare imagination, or from

fanciful conjecture."        Victor, 114 S. Ct. at 1249.       With this

admonition, the Court held, the charge correctly instructed the

jury that actual and substantial doubt was doubt that was not

seeming or imaginary.       Id. at 1250.    The Court also rebuffed the

defendant's challenge to the "moral certainty" language contained

in    the   charge   used   at   his   trial.    As   the   Court   wrote,

"[i]nstructing the jurors that they must have an abiding conviction

of the defendant's guilt does much to alleviate any concerns that

the phrase moral certainty might be misunderstood in the abstract."

Id.   The Court also observed that the instruction "equated a doubt

sufficient to preclude moral certainty with a doubt that would

cause a reasonable person to hesitate to act," id. at 1250-1251, a

definition of reasonable doubt that the Court approved of in

      3
      In Victor, the Court was careful to note that it was not
the Cage instruction's reference to substantial doubt alone that
rendered the charge in that case unconstitutional. Instead, the
Cage Court was "concerned that the jury would interpret the term
`substantial doubt' in parallel with the preceding reference to
`grave uncertainty,' leading to an overstatement of the doubt
necessary to acquit." Victor, 114 S. Ct. at 1250.

                                       9
Holland.       348 U.S. at 140.           Finally, the Court rejected the

defendant's      argument    that   the    charge's       reference    to   "strong

probabilities" understated the government's burden of proof.                    The

same       sentence   of   the   charge        informed   the   jury   that    "the

probabilities must be strong enough to prove the defendant's guilt

beyond a reasonable doubt."         Victor, 114 S. Ct. at 1251.

           In the present cases, Williams and Mullins challenge the

"firmly convinced" language that appears in the district court's

charge.4 They contend that the charge understated the government's

burden of proof by describing it to be closer to the preponderance

of the evidence standard than the constitutionally required beyond

a reasonable doubt standard. We are not persuaded. The appellants

cannot complain that the "firmly convinced" formulation speaks in

terms of probabilities because "the beyond a reasonable doubt

standard is itself probabilistic."               Id. at 1247.     The appellants

can only complain that the phrase "firmly convinced" connotes

something less than the "very high level of probability required by

the Constitution in criminal cases."               Id.    However, we think that

the "firmly convinced" language, read in the context of the charge


       4
      The appellants first contend that the district court's use
of the term "firmly convinced" is directly analogous to the use
of the term "moral certainty" in Cage. We are somewhat perplexed
by this argument. To be sure, in Cage and Victor, the Court
expressed concern with the use of the phrase "moral certainty".
But the Court's complaint with that term stemmed from its fear
that the expression might not be recognized by modern juries.
Victor, 114 S. Ct. at 1247. No such problem is present with the
"firmly convinced" language that the district court used in the
present cases. Instead, the appellants's best argument is that
the term "firmly convinced" understates the level of proof that
the government must meet. We address this argument in the text.

                                          10
as a whole, adequately apprises the jury of the requisite level of

proof.    By repeating the admonition that the jury had to be firmly

convinced of the appellants's guilt and by explaining that the

government did not have to prove the appellants guilty beyond all

possible doubt, the district judge sufficiently communicated to the

jury that they had to find the appellants guilty to a near

certainty.

         The   appellants     also    challenge   the   district   court's

characterization of a reasonable doubt as a "real possibility" that

the defendant is not guilty.         We find no infirmity in this portion

of the charge either.       When read in the context of the charge as a

whole, the instruction's "real possibility" formulation explains

that the beyond a reasonable doubt standard does not require "proof

that overcomes every possible doubt." In other words, the modifier

"real" merely indicates that the jury is not to acquit a defendant

if it can conceive of any possibility that the defendant is not

guilty.    This is because "absolute certainty is unattainable in

matters relating to human affairs."         Id. at 1246.   Just as the jury

is not to indulge in fanciful speculation that the defendant is

guilty, the jury is not to indulge in fanciful speculation that the

defendant is not guilty.

         A definition of reasonable doubt that includes the "firmly

convinced" and "real possibility" language was expressly endorsed

and ably defended by Justice Ginsburg in her concurrence in Victor.

114 S. Ct. at 1252 (Ginsburg, J., concurring in part and concurring

in the judgment).    After setting out the Federal Judicial Center's


                                       11
proposed definition of reasonable doubt (an instruction nearly

identical to the one given by the district court in these cases),

see supra note 2, Justice Ginsburg explained that "[t]he `firmly

convinced' standard for conviction, repeated for emphasis, is . .

. enhanced by the juxtaposed prescription that the jury must acquit

if there is a `real possibility' that the defendant is innocent."

Victor, 114 S. Ct. at 1253.5       This recommendation further supports

our own approval of the district court's instruction.

         In short, nothing in Cage or Victor persuades us that the

trial court's definition of reasonable doubt is unacceptable.

Composing a perfect definition of reasonable doubt may be an

illusory goal,    but    perfection     and    certitude    are    rare      in   any

intellectual discipline, whether it be scientific or humanistic.

There are very few things that can be said with an assurance that

is unimpeachable.       Since Einstein's day, we have been told that

even in the sciences, conclusions do not work out that way; there

is almost always a predicate of fluidity and relativity.               With this

understanding,   we     have   examined     the   boundaries      of   the    words

contained in the district court's charge and the longitude and

latitude of their expressiveness.           This examination leaves us with

the firm    conviction    that   the   jury,      upon   hearing   the    judge's

     5
      We think that the Federal Judicial Center's instruction is
superior to the instruction that the district court gave in at
least one respect. The Federal Judicial Center's instruction
informs the jurors that the prosecution must prove its case by
more than a mere preponderance of the evidence, but not
necessarily to an absolute certainty. The district court's
instruction does not contrast the preponderance of the evidence
standard and the beyond a reasonable doubt standard. Such a
contrast is a useful way to frame the issue for the jury.

                                       12
instructions, knew how to determine whether there was a reasonable

doubt as to the defendants's guilt.

         Finally, the appellants assert that the instruction that the

district court gave impermissibly deviated from the Fifth Circuit's

Pattern Jury Instructions.     We find no merit to this argument.

Although the Pattern Jury Instructions provide a useful guide for

the district courts, we have never required the trial courts in

this Circuit to use any particular language in a jury charge.    See

United States v. Masat, 948 F.2d 923, 928 (5th Cir. 1991) ("Trial

judges have substantial latitude in tailoring their instructions if

they fairly and adequately cover the issues presented in the

case."), cert. denied, 113 S. Ct. 108 (1992).

                B.   Mullins's Individual Contentions

         Mullins contends that the district court erroneously refused

to invalidate for the purpose of sentencing four state felony

convictions to which he had pleaded guilty on November 24, 1986.

Three of these four convictions were for violations of the Texas

Controlled Substances Act; the fourth conviction was for theft.6

The violations of the Controlled Substances Act were "serious drug

     6
      Mullins has two other felony convictions--a 1974 conviction
for delivery of marijuana and a 1976 conviction for the sale of
marijuana--that he does not challenge.
       As noted below, a person who has been convicted under 18
U.S.C. § 922(g) and has three or more prior "serious drug
offenses," is subject to an enhanced sentence under the 18 U.S.C.
§ 924(e). All five of Mullins's prior drug convictions meet the
statutory definition of a "serious drug offense"; thus, all five
of these convictions were counted towards application of §
924(e). If Mullins's attack on the four 1986 felony convictions
has merit (particularly the three counts for violating the Texas
Controlled Substances Act), then he would have only two "serious
drug offenses," and § 924(e) would not be applicable.

                                  13
offenses" under the Armed Career Criminal Act ("ACCA"), 18 U.S.C.

§ 924(e), and were thus used to enhance Mullins's sentence under

that       law.7     Mullins   maintains      that   these     convictions     were

constitutionally        invalid    because     his   guilty     pleas   were    not

voluntarily and intelligently given. See North Carolina v. Alford,

400 U.S. 25 (1970). Specifically, he argues that he never actually

declared that he was guilty of the four offenses, that he was not

adequately advised of the nature of the charges against him, and

that a sufficient factual basis for his guilty pleas did not exist.

            The    district    court   held    a     hearing    concerning      the

constitutional validity of Mullins's 1986 convictions.8                  At this

hearing, the district court examined a copy of the transcript of


       7
      Section 924(e) provides:
            In the case of a person who violates section 922(g)
       of this title and has three previous convictions by any
       court referred to in section 922(g)(1) of this title for a
       violent felony or a serious drug offense, or both,
       committed on occasions different from one another, such
       person shall be fined not more than $25,000 and imprisoned
       not less than fifteen years, and . . . such person shall
       not be eligible for parole with respect to the sentence
       imposed under this subsection. 18 U.S.C. § 924(e)(1).
       Furthermore, although Mullins's initial offense level was
24, because Mullins was subject to an enhanced sentence as an
armed career criminal under § 924(e), his adjusted offense level
was required to be 33. See U.S.S.G. § 4B1.4(b).
       8
      In such a hearing, the government has the initial burden of
submitting evidence of past convictions that expose the defendant
to punishment under 18 U.S.C. § 924(e). Unless such evidence
reveals unconstitutionality on its face, it will suffice to prove
the existence of valid convictions. Once the government
establishes the fact of the prior convictions, the defendant must
then prove the constitutional invalidity of any conviction that
he or she attacks by a preponderance of the evidence. United
States v. Barlow, 17 F.3d 85, __ (5th Cir. 1994). The district
court's factual findings will be upheld unless they are clearly
erroneous. Id.

                                        14
the November 24, 1986 state court arraignment and sentencing

hearing.    The district court determined that Mullins had knowingly

and intelligently pleaded guilty to the four challenged state court

convictions.       Agreeing with the district court below, we conclude

that Mullins's state court guilty pleas were properly accepted.

The record reflects that Mullins voluntarily and intelligently

pleaded guilty and had an understanding of the rights that he

waived and the consequences of his pleas.

          Mullins's first argument is that since he never actually

declared that he was guilty of the four offenses, he never entered

a   valid   plea     of   guilty   to    the   four   crimes.9   However,   an

examination of the record belies Mullins's contention that he did

not plead guilty.         In the state court proceeding, the court first

informed Mullins of the nature and elements of the offenses with

which he was charged and determined that he understood the charges

against him.       The court then questioned Mullins as follows:

          THE COURT:     Papers that are filed in your cases indicate
          to the Court that when you are arraigned you will plead
          guilty, is that true?

          MULLINS:           Yes, sir.

          THE COURT:         Are you pleading guilty of your own free will
          and accord?

      9
      This argument is premised on the proposition that, in order
for there to be a valid plea of guilty, a defendant must
personally utter the word "Guilty" after the court asks "How do
you plead?" We have found no cases that contain such a holding.
Instead, our review of the case law demonstrates that "there is
no fixed colloquy, no set sequence or number of questions and
answers, no minimum length of the hearing, no talismanic
language" that is required to be used in guilty-plea hearings.
Stewart v. Peters, 958 F.2d 1379, 1384 (7th Cir.), cert. denied,
113 S. Ct. 239 (1992).

                                         15
         MULLINS:          Yes, sir.

         THE COURT:     Has anyone promised you anything, coerced you
         or threatened you or done any violence to you to make you
         plead guilty in any of these four cases?

         MULLINS:          No, sir.

The court then informed Mullins of the range of punishment that he

was facing for each crime. Next, Mullins's own attorney questioned

him:

         Q:   Michael, you are the same person named in these four
         indictments, is that correct?

         A.    Right.

         Q:   Did I explain to you your right to have separate jury
         trials in these cases?

         A:    Right.

         Q:    I had your permission to give up those rights?

         A:    Yes, sir.

         Q:   And in entering you [sic] plea of guilty, have I had
         sufficient time to go over the facts of the cases with you?

         A:    Yes, sir.

The court then admitted a signed Judicial Confession for each

crime.    In these confessions, Mullins waived his constitutional

rights and confessed to committing the crimes alleged in the four

indictments.    Later, the prosecutor questioned Mullins:

         Q:   You signed a judicial confession in each of the four
         cases?

         A.    Yes, I guess I did, I did, yes.

         Q:   Did you commit the offenses as those confessions say
         you did?

         A:    Yes.



                                       16
These colloquies, when coupled with the written confession that

Mullins signed for each offense, demonstrate that the defendant did

in fact plead guilty to the four charges against him.          In the

context of this case, it is of no consequence that Mullins did not

specifically utter the words "I am guilty."         Although this is

plainly the better course, we do not require such a talismanic

incantation, so long as the language used is expressive of the

defendant's culpability.

         Furthermore, a review of the state court arraignment and

sentencing     hearing   also   reveals   that   Mullins's   remaining

contentions cannot withstand scrutiny.       The record reveals that

Mullins was adequately advised of the nature of the charges against

him and that there was a sufficient factual basis for his guilty

pleas.

         Finally, at his federal sentencing hearing, Mullins claimed

to be high on heroin when he entered his 1986 guilty pleas.

However, at the federal hearing, Mullins acknowledged that, during

his state hearing, he understood that he was pleading guilty to

four separate counts, that he signed separate confessions for each

offense, and that he committed each of the offenses with which he

was charged.     Mullins also acknowledged that he was telling the

truth at the state sentencing hearing.     Mullins has failed to show

that any drugs that he may have been taking so affected him that he

was incapable of making a voluntary and intelligent waiver of his

trial rights.    Cf. Godinez v. Moran, 113 S. Ct. 2680 (1993) (test

of mental competency to plead guilty is whether the defendant has


                                   17
a sufficient present ability to consult with a lawyer with a

reasonable degree of rational understanding and has a rational as

well as factual understanding of the proceedings against him.).

       In sum, we conclude that the district court did not err when

it concluded that Mullins had knowingly and intelligently waived

his rights and validly pleaded guilty to the charges against him.

                C.   Williams's Individual Contentions

       Williams argues that the government committed prosecutorial

misconduct to a degree sufficient to warrant reversal of his

conviction.    To rise to this level, prosecutorial misconduct must

be "so pronounced and persistent that it casts serious doubts upon

the correctness of the jury's verdict."       United States v. Bentley-

Smith, 2 F.3d 1368, 1378 (5th Cir. 1993).           The misconduct that

Williams alleges takes two forms. Williams first contends that the

prosecutor elicited improper character evidence against him and

improperly    impeached   Shazelle    Williams,   the   defendant's   wife.

Williams also objects to allegedly improper remarks that the

prosecutor made in his closing argument.            Only some of these

objections were made during the trial.       After a studied review the

record, we hold these instances of alleged misconduct do not

require reversal of Williams's conviction.

                            III.     Conclusion

       The judgments of the district court are AFFIRMED.




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