Recent questions in Digital Circuits

In the circuit shown in the Figure, $A$ and $B$ are logic inputs and $Y$ is the logic output.Which of the following logic operations is realized by the circuit?NORORXORAN...

A binary ripple counter is designed to count $(0)_{10}$ to $(64)_{10}$.Which of the following is/are the number of flip-flops required to design the counter?$6$$7$$4$$5$

The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of $10$ cycles/second is applied to its clock (C) input.The...

The address of the first location of a $256$ kilo byte $(\mathrm{KB})$ memory is $(2500)_{\mathrm{H}}$.Choose the correct address of the last location of the memory.$(2 \...

What is the $10^{\prime} s$ complement of $(47)_{10}?$$52$$53$$54$$55$

A Boolean function, $f(x, y, z)$ with $x$ as MSB and $z$ as LSB is realized by $4: 1$ multiplexer (MUX) with select lines, $\mathrm{S}_{1}$ and $\mathrm{S}_{0}\left(\math...

Consider the four-variable Boolean function,$f(w, x, y, z)=\sum m(0,2,5,7,8,10,13,14,15)$ with '$w$' as MSB and '$z$' as LSB.Which of the following expressions is/are the...

A $3$-input majority logic gate has inputs $X, Y$, and $Z$. The output $F$ of the gate is logic '$1$' if two or more of the inputs are logic '$1$'. The output $F$ is logi...

A full adder and an XOR gate are used to design a digital circuit with inputs $X, Y$, and $Z$, and output $F$, as shown below. The input $Z$ is connected to the carry-in ...

A positive-edge-triggered sequential circuit is shown below. There are no timing violations in the circuit. Input $P 0$ is set to logic '$0$ ' and $P 1$ is set to logic '...

​​​​For the Boolean function\[F(A, B, C, D)=\sum m(0,2,5,7,8,10,12,13,14,15) \text {, }\]the essential prime implicants are $\_\_\_\_\_\_$.$B D, \bar{B} \bar{D}$$B D, A B...

A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five disti...

In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.

​​​​​A $4$-bit priority encoder has inputs $D_{3}, D_{2}, D_{1}$, and $D_{0}$ in descending order of priority. The two-bit output $A B$ is generated as $00,01,10$, and 11...