The value -20.75 is to be stored in the IEEE 754 single precision format. Answer
ID: 3687324 • Letter: T
Question
The value -20.75 is to be stored in the IEEE 754 single precision format.
Answer the following questions about the conversion.
What is the value of the sign bit?
What is the value of the exponent before biasing? Give your answer in the correct number of bits.
What is the value of the exponent after biasing? Give your answer in the correct number of bits.
What is the value of the significand? Give your answer in the fewest number of bits.
What is the value of the fraction? Give your answer in the fewest number of bits and no leading 0 or binary point.
Explanation / Answer
Given, -20.75
convert to binary
10100.1001011
shift decimal 4 bits left
1.01001001011
101001001011
23 bit: 10100100101100000000000
derive the middle 8-bits
add 4 to 127 = 131
131 = 10000011
1 10000011 01100100101100000000000
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