1. CLA adder: Explain how to obtain a k-bit adder that has circuit size of appro

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1. CLA adder: Explain how to obtain a k-bit adder that has circuit size of approximately k^2 and computation time of approximately sqrt(k)log k.

2. Design a combinational circuit which receives as input three N bit variables in 2's complement form A, B, and C and outputs 1 if and only if A ? B ? C. Namely, the output is 1 if and only if the 2s complement value of B is sandwiched between those of A and C.  Construct the circuit to work for all possible values of A, B, and C (positive and negative) in the range [?2^(N?1), . . . , 2^(N?1) ?1].

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