Question: Consider two 32-bit floating-point numbers (X and Y) with a sign in bit position 31, a twos complement unbiased 8-bit exponent in positions 30-23 and

Consider two 32-bit floating-point numbers (X and Y) with a sign in bit position 31, a twos complement unbiased 8-bit exponent in positions 30-23 and a twos complement 23-bit mantissa in bits 0 through 22. The mantissa is a fraction less than one and there is no implied 1-bit in the normalized form.

The bit strings representing the 2 numbers are given in hexadecimal notation for convenience:

X = 00C0 0000 Y = 813F FFFF a. Calculate X + Y

b. Calculate X * Y

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