Show how-3.75 is represented in a computer architecture that uses a floating point architecture with 7 bits exponent and 8 bits fraction and 1 bit sign
Answer: 1 0100000 11100000
Explanation:
-3.75
3.75 = 11. 11 = 1.111 * 21
Sign bit = 1; since negative
Mantessa = 11100000
Exponent = bias + power of 2 (bias of 16 bit floating point representation is 63
Therefore Exponent = 63+1 = 64 = 0100000
The 16 bit floating point number for -3.75 is 1 0100000 11100000
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