A hierarchical component with the function is to be used along with inverters to implement...

A hierarchical component with the function is to be used along with inverters to implement the following equation:

The overall circuit can be obtained by using Shannon’s expansion theorem,

where F0(X) is F evaluated with variable X = 0 and F1(X) is F evaluated with variable X = 1. This expansion F can be implemented with function H by letting Y = F0 and Z = F1. The expansion theorem can then be applied to each of F0 and F1 using a variable in each, preferably one that appears in both true and complemented form. The process can then be repeated until all Fi’s are single literals or constants. For G, use X = A to find G0 and G1

and then use X = B for G0 and G1. Draw the top-level diagram for G using H as a hierarchical component.