(c) Consider the following circuit with four inputs co,21,22,23 and four outputs yo, 41, 42, 43: to those yo X1 Dobar ya xz toba ya X3 Pozo ya i. Does this logic circuit implement the operation of taking a number represented in width-4 sign-magnitude representation and producing the width-4 sign-magnitude representation of (-1) times this number? ii. Does this logic circuit implement the operation of taking a number represented in width-4 ls complement representation and producing the width-4 ls complement representation of (-1) times this number? Remember to justify your answer in both cases: If your answer is "yes" then explain why using the definition of sign-magnitude/ls complement representation. If "no" then provide specific example input values, trace the circuit to compute its output for this example, and use the definition to calculate the two numbers being represented and explain why these numbers support your conclusion