Question 11.5: A schematic for a control circuit consists of four 16 bit D-...

Gate count for each part:

A 16 bit synchronous counter contains 16 D-type bistables plus combinational logic to generate the next state. This logic is typically comparable to the total gate count of the bistable part of the counter. Hence the total gate count for the counter will be approximately 160 gates (i.e. 16×5×2). A two-input NAND gate will require four transistors and hence one gate. Thus 20 will consume 20 gates of the array. Finally a single two-input NOR gate can be made from four transistors. Hence 24 will consume 24 gates of the array.
The total gate count required for this control circuit is 160+20+24=204 gates.