Question: Two floating-point numbers are added to form a floating-point sum: (F 1 x 2 E 1 ) + (F 2 x 2 E 2 )

Two floating-point numbers are added to form a floating-point sum:

(F₁ x 2^E¹) + (F₂ x 2^E²) = F x 2^E

Assume that F₁ and F₂ are normalized and the result should be normalized.

(a) List the steps required to carry out floating-point addition, including all special cases.

(b) Illustrate these steps for F₁ = 1.0101, E₁ = 1001, F₂ = 0.1010, and E₂ = 1000. The fractions are 5 bits, including sign, and the exponents are 4 bits, including sign.

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a The steps for floating point addition are listed in Section 73 of the text b 1 Make exponents equal F 1 10101 E 1 1001 1116 2 6 F 2 00101 E 2 1001 5... View full answer

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