Assume a simple model for floating-point representation is used, the representation uses a 16-bit format, 5 bits for the exponent, with a bias of 16, a normalized significand of 8-bits, and a single sign bit for the number.

Question

I)Show how the computer would represent the numbers [89.78] and [35.91] using this floating-point format.

II)Show how the computer would add the two floating-point numbers in part-I.

III)Show how the computer would represent the sum in part-II.

IV) What decimal value for the sum is the computer actually storing?

Answer 1

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