(Register Design) One way to compute the twos complement of a number is examine the number bit by bit from the lowest-order bit to the highest-order bit. In scanning from right to left, find the first bit that is 1. All bits to the left of this should now be complemented to form the twos complement number. For example, the twos complement of 0010 is formed as follows:

Your task is to draw a schematic for a 4-bit register with parallel inputs and outputs and the synchronous control signals HOLD, CLEAR, LOAD, and COMPLEMENT. When the complement signal is asserted, the register contents will be replaced by its twos complement. You can assume that COMPLEMENT will be asserted for a number of cycles equal to the width in bits of the register.