Here is a formula that says how the three fields of IEEE 754 combine to represent a number: value = (-1)s × 1.M × 2E-127
s is the sign bit, M is the mantissa (with the leading 1 assumed) and E is the biased exponent.
What biased exponent would be used to represent 2-3?
Write the answer 8 bits.
number = 2-3
E-127 = -3
E = -3+127 = 124
let's convert 124 to binary
Divide 124 successively by 2 until the quotient is 0
> 124/2 = 62, remainder is
0
> 62/2 = 31, remainder is
0
> 31/2 = 15, remainder is
1
> 15/2 = 7, remainder is 1
> 7/2 = 3, remainder is 1
> 3/2 = 1, remainder is 1
> 1/2 = 0, remainder is 1
so, biased exponent is 1111100
Answer: 01111100
Here is a formula that says how the three fields of IEEE 754 combine to represent...
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