Private Sub RndBitsVerify()
    ' "Random Bits Verify"
    ' Print a frequency count of the bits within values generated by the Visual Basic Rnd function.

    'See also:
    '  RndBytesVerify
    '  RndVerify

    Dim avarBitCnt() As Variant
    ReDim avarBitCnt(1 To 32)

    Const NTries = 100000
    Const NReport = 10000

    Randomize

    Dim lngTry As Long
    For lngTry = 1 To NTries
        If lngTry Mod NReport = 0& Then Debug.Print Format$(lngTry, "#,##0")

        Dim sngRnd As Single
        Dim strRnd As String

        sngRnd = Rnd
        strRnd = MakeSingleFast(sngRnd)

        Dim intCurByt As Integer
        For intCurByt = 1 To Len(sngRnd)
            Dim intCurVal As Integer
            intCurVal = ASC(Mid$(strRnd, intCurByt, 1))

            Dim intCurBit As Integer
            For intCurBit = 1 To 8
                If intCurVal And (2 ^ intCurBit - 1) Then
                    Dim intAbsBit As Integer
                    intAbsBit = (intCurByt - 1) * 8 + intCurBit
                    avarBitCnt(intAbsBit) = avarBitCnt(intAbsBit) + 1&
                End If
            Next intCurBit
        Next intCurByt
    Next lngTry

    Debug.Print IllustrateVariantVector(avarBitCnt)
End Sub