f(w, x, y, z) =\( \Sigma\) (0, 2, 5, 7, 8, 10, 13, 14, 15) Find the correct simplified expression.
The figure shows a 4-to-1 multiplexer. The inputs are connected as: $I_0 = 1$, $I_1 = 0$, $I_2 = 1$, $I_3 = y$. The select lines are $S_1 = x$ and $S_0 = z$. Find the Boolean function $f(x,y,z)$.
In a 4-bit ripple counter, if the period of the waveform at the last flip-flop is 64 microseconds, then the frequency of the ripple counter in kHz is ______________. {(Answer in integer)}
Consider the given sequential circuit designed using D-Flip-flops. The circuit is initialized with some value (initial state). The number of distinct states the circuit will go through before returning back to the initial state is:
Given the following Karnaugh Map for a Boolean function \( F(w,x,y,z) \):
Which one or more of the following Boolean expression(s) represent(s) \( F \)?
The minimized expression of the Boolean function Y(P, Q, R) implemented by the multiplexer (MUX) circuit shown in the figure is:
In a 4-bit ripple counter, if the period of the waveform at the last flip-flop is 64 microseconds, then the frequency of the ripple counter in kHz is ___________. (Answer in integer)