Recent questions tagged digital-electronics

The initial state of $Q_{3} Q_{2} Q_{1} Q_{0}$ in the digital circuit shown below is $1011$.The new value of $Q_{3} Q_{2} Q_{1} Q_{0}$ after two rising edges of the clock...

Which of the following functions represent(s) the output of the CMOS logic-gate shown in the circuit below?$f=\overline{\mathrm{A}}+\overline{\mathrm{B}} \cdot \overline{...

A $16$ -bit processor has $16$ -bit wide instructions and a few internal registers. Every $16$ -bit instruction is encoded in a fixed format with one operation code of $7...

A digital counter increments its count every $0.1 \mu \mathrm{~s}$. The counter is used in an instrument to measure frequency. The counter is operated for one period of t...

The minimized expression of the Boolean function $\mathrm{Y}(\mathrm{P}, \mathrm{Q}, \mathrm{R})$ implemented by the multiplexer (MUX) circuit shown in the figure is$\mat...

The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$

A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...

An $8$-bit microprocessor has $16$ -bit address bus $\left(\mathrm{A}_{15}-\mathrm{A}_{0}\right)$ where $\mathrm{A}_{0}$ is the LSB. As shown in Figure (a), it has a pre-...

Let $X\left(e^{j \omega}\right)$ represent the discrete time Fourier transform of a $4$-length sequence $x[n]$, where $x[0]=1, x =2, x =2$, and $x[3]=4 . X\left(e^{j \ome...

Among the given options, the simplified form of the Boolean function $\mathrm{F=(A+\bar{A} \cdot B)+\bar{A} \cdot(A+\bar{B}) \cdot C}$ is$\mathrm{A+B+C}$$\mathrm{A \cdot ...

The number of complex multiplications required for computing a $16$-point DFT using the decimation-in-time radix-$2$ FFT is $\_\_\_\_\_\_\_$ (in integer).

​​​​In the figure shown, the positive edge triggered $\mathrm{D}$ flip-flops are initially reset to $Q=0$. The logic gates and the multiplexers have no propagation delay....

The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$, and the control input in a flip-flop. Identify the flip-flop.$$\begin{a...

Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ is a Boolean input.$$\begin{array}...

Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS LogicResistor-Transistor Logic

The simplified form of the Boolean function $\mathrm{F}(W, X, Y, Z)=\Sigma(4,5,10,11,12,13$, $14,15)$ with the minimum number of terms and smallest number of literals in ...

For the given digital circuit, $\mathrm{A}=\mathrm{B}=1$. Assume that $\mathrm{AND}, \mathrm{OR}$, and $\text{NOT}$ gates have propagation delays of $10 \mathrm{~ns}, 10 ...

In the circuit shown, the initial binary content of shift register $A$ is $1101$ and that of shift register $B$ is $1010.$ The shift registers are positive-edge triggered...

The logic block shown has an output $F$ given by ________$A + B$$A \cdot \overline{B}$$A + \overline{B}$$\overline{B}$

An analog-to-digital converter with resolution $0.01 \; \text{V}$ converts analog signals between $0 \; \text{V}$ to $+10 \; \text{V}$ to an unsigned binary output. The m...

A resistor ladder digital-to-analog converter $\text{(DAC)}$ receives a digital input that results in the circuit having the state as shown in the figure. For this digita...

The digital circuit shown ________is a divide-by-$5$ counteris a divide-by-$7$ counteris a divide-by-$8$ counterdoes not function as a counter due to disjoint cycles of s...

$A= a_{1}a_{0}$ and $B= b_{1}b_{0}$ are two $2$–bit unsigned binary numbers. If $F(a_{1},a_{0},b_{1},b_{0})$ is a Boolean function such that $F=1$ only when $A>B,$ and $F...

In the circuit shown, the switch is initially closed. It is opened at $t=0 \; \text{s}$ and remains open thereafter. The time (in milliseconds) at which the output voltag...

For a $4$-bit Flash type Analog to Digital Convertor $\text{(ADC)}$ with full scale input voltage range $\text{"V"}$ which of the following statement$\text{(s)}$ is/are t...

A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied...

Boolean function $\text{F}$ of three variable $\text{X, Y,}$ and $\text{Z}$ is given as$F\left ( X, Y, Z \right )=\left ( {X}' + Y + Z \right )\cdot \left ( X + {Y}' + {Z...

A $10$ $^1/_2$ digit Counter-timer is set in the 'frequency mode' of operation (with $T_{s}=1 s$). For a specific input, the reading obtained is $1000$. Without disconnec...

Given below is the diagram of a synchronous sequential circuit with one $\text{J-K}$ flip-flop and one $\text{T}$ flip-flop with their outputs denotes as $\text{A}$ and $...

Two flip-flops are interconnected as shown in the figure. The present state of the flip flops are: $A=1, B=1$. The input x is given as $1,0,1$ in the next three clock cyc...

The address lines $A_9 \dots A_2$ of a 10 bit, 1.023 V full-scale digital to analog converter $(DAC)$ is connected to the data lines $D_7$ to $D_0$ of an 8-bit microproce...

A $6\frac{1}{2}$ digit timer-counter is set in the ‘time period’ mode of operation and the range is set as ‘ns’. For an input signal, the timer-counter displays $1000000$...

Given $f(A,B,C,D)=\sum m(0,1,2,6,8,9,10,11)+\sum d(3,7,14,15)$ is a Boolean function, where m represents min-terms and d represents don’t-cares. The minimal sum of produc...

The boolean expression for the shaded regions as shown in the figure is _________$(A+B)\bullet (\overline{A}+\overline{B})$$(A+\overline{B})\bullet (\overline{A}+B)$$(\ov...

The boolean operation performed by the following circuit at the output O is _______$O=S_1\oplus S_0$$O=S_1\bullet \overline{S_0}$$O=S_1+S_0$$O=S_0\bullet \overline{S_1}$

The two inputs $A$ and $B$ are connected to an $R-S$ latch via two $AND$ gates as shown in the figure. If $A=1$ and $B=0$, the output $Q\overline{Q}$ is$00$$10$$01$$11$