# how many different numbers can six bits represent?

Does any body know how many different numbers can six bits represent?
###### Who is Participating?

Commented:
>>how do i convert 7Bh to decimal?

you mean manually? Just write down the bits representing 7 and B side by side like this

0111 1011

(note: 7 is 0111, B is 1011 or 11 in decimal)

Now read the binary in decimal (hope u know that), it becomes 123.
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Commented:
64 (including 0)

2^6
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Author Commented:
how do i convert 7Bh to decimal?
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Commented:
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Commented:
Programatically?

Function HexToInt(sStr)
Dim iInt, temp, x
iInt = 0
For x = 1 To Len(sStr)
temp = Val(Mid(sStr, x, 1))
If temp = 0 And Mid(sStr, x, 1) <> "0" Then
If UCase(Mid(sStr, x, 1)) = "A" Then
temp = 10
ElseIf UCase(Mid(sStr, x, 1)) = "B" Then
temp = 11
ElseIf UCase(Mid(sStr, x, 1)) = "C" Then
temp = 12
ElseIf UCase(Mid(sStr, x, 1)) = "D" Then
temp = 13
ElseIf UCase(Mid(sStr, x, 1)) = "E" Then
temp = 14
ElseIf UCase(Mid(sStr, x, 1)) = "F" Then
temp = 15
End If
End If
temp = temp * (16 ^ (Len(sStr) - x))
iInt = iInt + temp
Next
HexToInt = iInt
End Function
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1 bit (as a 1 or a 0)
8 bits (1 byte) = 1 character
therefore 6 bits isn't enough to represnt any characters - you need multiples of 8
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Commented:
> therefore 6 bits isn't enough to represnt any characters

For standard character encodings, you are correct.
But if he's implementing his own format, then there's no problem (so long as he can represent those 6 bits).
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fair enough, is there any really good reason why this is needed (whats wrong with standard chars?)
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Commented:
Well, if there's only a limited number of characters that need representing, then by using 6 bits instead of 8, you will be of course saving 2 bits per character.

When memory is a *major* issue, and you need to represent a very large number of characters, then this small sacrifice is somewhat significant.

But it's unlikely that you will ever be in that situation nowadays; so really, no.. I personally cannot think of any good reason why you wouldn't just stick with the standard character encodings (or at least use an 8-bit byte, which the low-level architecture directly supports; rather than trying to implement your own format).
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