A left-rotate is a logic circuit that rotates bits one place to the left. In a 4-bit left-rotate, for example, 0001 would left rotate to 0010; 0110 would left rotate to 1100, etc. Write down four Boolean expressions that capture the behaviour of the left-rotate circuit using A, B, C and D to label the input-bit positions; and W, X, Y and Z to label output-bit positions. Your expressions should be of the form: W = ?, X = ?; Y = ?; Z = ?