digital logic

Simplified form of the Boolean function $F(P,Q,R,S) = \overline{P}\overline{Q} + \overline{P}QS + \overline{P}Q\overline{R}\overline{S} + P\overline{Q}\overline{R}\overline{S}$ is

In the circuit, the present value of Z is 1. Neglecting the delay in the combinatorial circuit, the values of S and Z, respectively, after the application of the clock will be

To obtain the Boolean function $F(X,Y) = X\bar{Y} + \bar{X}$, the inputs $PQRS$ in the figure should be

The output expression for the Karnaugh map shown below is

The Boolean expression AB + AC + BC simplifies to

The output expression for the Karnaugh map shown below is

For the synchronous sequential circuit shown below, the output Z is zero for the initial conditions Q_A Q_B Q_C = Q'_A Q'_B Q'_C = 100. The minimum number of clock cycles after whi...