design s circuit with three inputs x y z representing the bits in a binary number, and three outputs a b c also representing bits in a binary number.

when the input is 0,1,6,7 the binary options will be the complement of the input. even the binary is 2,3,4,5 the output is the input shifted left with rotate.

for example 3=011 outputs 110.

show your truth table and all computations for simplification