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A. Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 single precision format.

b. Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 double precision format.

User Vinh
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a. The IEEE 754 single precision format, also known as float, uses 32 bits to represent a number. The binary representation of the decimal number 63.25 in the single precision format is as follows:

Sign bit (1 bit): 0 (positive number)

Exponent bits (8 bits): 10000100 (132 in decimal)

Fraction bits (23 bits): 01000000000000000000000

Combining these bits together, the binary representation of 63.25 in the IEEE 754 single precision format is:

01000010001000000000000000000000

b. The IEEE 754 double precision format, also known as double, uses 64 bits to represent a number. The binary representation of the decimal number 63.25 in the double precision format is as follows:

Sign bit (1 bit): 0 (positive number)

Exponent bits (11 bits): 10000000010 (1026 in decimal)

Fraction bits (52 bits): 0100000000000000000000000000000000000000000000000000

Combining these bits together, the binary representation of 63.25 in the IEEE 754 double precision format is:

0100000001001000000000000000000000000000000000000000000000000000

User D Drmmr
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