1. A combinational circuit counts the number of zeros in the input pattern. It has three inputs x0, x1 , x2, and two outputs p1 and p0. The output p1 p0 indicates the number of zeros among the 3 bits x0, x1 , x2. For example, when x0x1x2 = 000 the output will be p1 p0 =11.

a) Provide a truth table of the combinational circuit.

b) Write the Boolean equations.

c) Simplify the Boolean equations.

d) Draw the logic diagram