5. (20 points) A 2-bit incrementer is a circuit that takes two inputs: a 2-bit binary value and a 1-bit increment signal. If the increment signal is 1, the circuit should output the binary value increased by 1 (s0 01 increments to 10, and 11 loops around to 00). If the increment signal is 0, the circuit should decrease the value by 1 (so 01 decrements to 00 and 00 loops around to 11). The output should be the resulting 2-bit value. (a) Write out a truth table with all of the inputs and corresponding outputs. (b) Draw corresponding k-maps for the outputs and mark the largest groupings to simplify the circuit Page 5 (e) (Using your k-maps on the previous page.) write out a simplified boolean expression