Question: Then-bit two's complement integer N is written a n- 1 , a n-2 , ,,, a 1 , a 0 Prove that (in two's

Then-bit two's complement integer N is written a_n-₁, a_n-2, ,,, a₁, a₀• Prove that (in two's complement notation) the representation of a signed binary number in n + 1 bits may be derived from its representation in n bits by repeating the leftmost bit. For example, if n = - 12 = 10100 in five bits or n = - 12 = 110100 in six bits.

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