Question

Compute the sign extension into 16-bits of +20 and -123 represented in 2’s complement in 8-bits. Prove that when an 8-bit representation is sign-extended into 16 bits by replicating the sign bit 8 times in the more significant end, you get the same value both for a negative and non-negative X using X=- x_n-12^n-1 + x _n-22^n-2+…+ x₂2² + x₁2¹+ x₀ 2⁰.

Answer 1

iplepe 00010100 s =

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