You have a 3-bit unsigned number X[2:0] (so X2 is the most significant bit, X1 is the next most significant, and X0 is the least significant). Using only standard gates (AND, OR, NOT), and constant 0s and 1s, multiply X[2:0] by two and output it as a 5-bit 2s complement number Y[4:0]. Use as few gates as possible.

(Hint: you can use very few gates indeed.)