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Design a serial 2's complementer using this procedure. The circuit needs a shift register to store the binary number and an SR flip flop to be set when the first least significant 1 occurs. An XOR gate can be used to transfer the unchanged bits (x[xor]0=x) or complement the bits (x[xor]1=x'). Let's inspect what possibilities we can get when trying to get the 2's complement of a bit string. In the initial state you could get a 1 whose 1's complement is 0 and with a carry in hand equals to 1. Design a serial 2's complementer with a shift register and a flip flop. The binary number is shifted out from one side and it's 2's complementer shifted in to the other side of the shift register. There are at least 2 ways to get the 2's complement of a number in a SIPO shift register: direct combinatorial logic. Take the 4 bits of the value, (simultaneously) invert all the bits and (simultaneously) add one. Serial 2 s complementer shift register for business.

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