The floating-point value represent ieee- single precision format

using the simple model (14-bit format, 5 bits for the exponent with a bias 15, a normalized significand of 8 bits, and a single sign bit for the number)?

b) Show the floating-point value of 75.75 using IEEE-754 single precision (32-bit format, 8 bits for the exponent with a bias 127, a significand of 23 bits, and a single sign bit for the number).

Given binary number: 11000010100000

Sign bit: 1 (indicating a negative number)

Exponent: 10000 (binary representation of 16) - 15 (bias) = 1

Significand: 1.10100000

Given decimal number: 75.75

Converting 75 to binary:

Combining the integer and fractional parts, we get: 1001011.11

Normalizing the binary number: 1.00101111 × 2^6