Recent questions tagged boolean-function

The digital circuit shown has $3$ inputs $(x, y$, and $z)$.The simplified logical expression for the output (OUT) is:$\bar{x} \overline{y z}$$0$$\bar{x}(y+z)$$1$

The MOSFET switches shown in the circuit are ideal.Which of the following is the correct option for Boolean logical expression of the output (OUT), and the maximum possib...

A Boolean function is given as\[f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x)\]The simp...

​​​​Simplified form of the Boolean function\[F(P, Q, R, S)=\bar{P} \bar{Q}+\bar{P} Q S+P \bar{Q} \bar{R} \bar{S}+P \bar{Q} R \bar{S}\]is$\bar{P} S+\bar{Q} \bar{S}$$\bar{P...

​​​​​To obtain the Boolean function $\text{F(X, Y)}=\text{X} \bar{\text{Y}}+\bar{\text{X}}$, the inputs $\text{PQRS}$ in the figure should be$1010$$1110$$0110$$0001$

The output expression for the Karnaugh map shown below is$Q \bar{R} +S$$Q \bar{R} + \bar{S}$$QR+S$$Q R +\bar{S}$

In the sum of products function $f(X,Y,Z) = \Sigma(2,3,4,5)$, the prime implicants are$\overline{X}Y, X \overline{Y}$$\overline{X}Y, X \overline{Y}\overline{Z}, X \overli...

Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm...

The output expression for the Karnaugh map shown below is$B \overline{D}+BCD$$B \overline{D}+AB$$\overline{B}D+ABC$$B \overline{D}+ABC$

The Boolean expression $AB+A\bar{C}+BC$ simplifies to$BC + A\bar{C}$$AB + A\bar{C} + B$$AB + A\bar{C}$$AB + BC$

The $SOP$ (sum of products) form of a Boolean function is $\sum (0,1,3,7,11)$, where inputs are $A,B,C,D$($A$ is $MSB$, and $D$ is $LSB$). The equivalent minimized expres...

$f(A, B, C, D) = \pi M(0,1,3,4,5,7,9,11,12,13,14,15)$ is a maxterm representation of a Boolean function $f (A, B, C, D)$ where $A$ is the $MSB$ and $D$ is the $LSB$. The ...

The Boolean expression $\overline{(a+\bar{b}+c+\bar{d})+(b+\bar{c})}$ simplifies to$1$$\overline{a.b}$$a.b$$0$

The output expression for the Karnaugh map shown below is$A+\bar{B}$$A+\bar{C}$$\bar{A}+\bar{C}$$\bar{A}+C$

A $2$-bit flash Analog to Digital Converter $(ADC)$ is given below. The input is $0 \leq V_{IN} \leq 3$ Volts. The expression for the $LSB$ of the output $B_{o}$ as a Boo...