Using a full-adder and any other necessary logical primitives, design a circuit that accepts a B-bit binary number A and a "control" line C. If C=0, the output of your circuit is a (B+1)-bit two's complement representation of the positive input (+A). If C=1, the output of your circuit is a (B+1)-bit two's complement representation of the negative input (-A). You may use blocks to represent your full-adders, but be sure to clearly label the meaning of each block's inputs and outputs.

Can you create a nibble-wide version?