Build a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output...

Build a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary
number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate
the output corresponding to the product of WX and YZ. You will need 4 bits of output for this
problem.
For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so
your output will be 0110.
Create a truth table for this problem, show all k-maps and minimizations, and build the
corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it
reduces the number of gates used.