3. Design a combinational circuit with four inputs (w, x, y, z) and output (F). The output is 1 when the binary value of input is between 1 to 4 and 11 to 15. The output is 0 otherwise.

a. Write the logic equation. b. Minimize the truth table using K-Map. Simulate the minimized logic equation in Logisim using logic gates. c. Implement the logic equation of part (part a) in Logisim using a Multiplexer. d. Implement the logic equation of part (part a) in Logisim using a decoder.