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- Maximum absolute number size - 32 binary IEEE representation.
- 0 1111 1110 1111 1111 1111 1111 1111 111
- Remember all 1s in exponent is special flag
- Exponent
- 8 bit biased exponent 2^(8-1)-1 = 127 bias
- 1111 1110 = 254
- b
- 254 - 127 = 127 2^127
- Signficand
- 1111 1111 1111 1111 1111 111 = 23 bit mantissa
- 1.1111 1111 1111 1111 1111 111 = with significant bit.
- If in decimal, it can be shown that 9 = 10^1 - 10^0
- Then
- The binary above is 10 - 0.0000 0000 0000 0000 0000 001 or 2^1 - 2^-23
- b b
- Maximum absolute size is (2^1 - 2^-23)* 2^127 or 2^128 - 2^104
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