Unformatted text preview: ent things.
different
'''The question is,' said Humpty
'The
Dumpty, 'which is to be
master  that's all.'
master Analog or Digital?
Analog or Digital? Number Representations
Number Representations
1/2 + 1/6 + 1/9 5137
01100010100
0 Analog Digital are analogous not necessarily analogous can be continuous discrete symbols precision a problem add extra digits errors hard to detect errors easier to detect requires little decoding requires some decoding Why Binary?
Why Binary? Because 2 is special! It’s the smallest number that’s not 1. So simple a computer could do it! Why Binary?
Why Binary?
So simple a computer could do it! Bits, Bytes, Words
Bits, Bytes, Words Bit = 0 or 1. One character of information
Byte = 8 bits. Example: 01101101
Word = some number of bytes, depending on computer. Typical = 4 bytes = 32 bits
“A 32bit machine”
Word size limits what can be represented easily
(more on this later) 1 100
10 1000 Decimal Numbers…. 5137 Binary Numbers…. 02
1
4 37 9
58 6 decimal digits 0 1 b its
binary digits bits 16 8 4 (2^1) (2^0) 1 1 1 1 0 2 1 16 + 4 + 2 + 1 = 23 16 8 4 2 1
01110
8 + 4 + 2 = 14 16 8 4 2 1
11101
16 + 8 + 4 + 1 = 29 16 8 4...
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 Fall '09
 Computer Science, Negative Numbers, Humpty, Dumpty

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