Disha Expert Team Solutions for Chapter: Digital Electronics, Exercise 1: Exercise

Which one of the following circuits is not equivalent to a $2$-input XNOR (exclusive NOR) gate?

The minimum number of D flip-flops needed to design a mod-$258$ counter is:

The minterm expansion of f(P, Q, R) =$PQ +Q\overline{R} +P\overline{R}$ is:

In the IEEE floating point representation, the hexadecimal value $0 \times 00000000$ corresponds to:

What is the maximum number of different Boolean functions involving n Boolean variables?

How many $3-8$ line decoders with an enable input are needed to construct a $6-64$ line decoder without using any other logic gates?

Consider the following Boolean function of four variables:

$f(w, x, y,z) = L\left(1,3,4,6,9,11,12,14\right)$

The function is:

Let $f(w, x, y, z) = r\left(0, 4, 5, 7, 8, 9, 13, 15\right)$. Which of the following expressions is/are not equivalent to $f$?

(P) $x\text{'}y\text{'}z\text{'} + w\text{'}xy\text{'} + wy\text{'}z+ xz$

(Q)$w\text{'}y\text{'}z\text{'}+wx\text{'}y\text{'}+xz$

(R) $w\text{'}y\text{'}z\text{'} + wx\text{'}y\text{'} + xyz + xy\text{'}z$

(S)$x\text{'}y\text{'}z\text{'} + wx\text{'}y\text{'} + w\text{'}y$