Recent questions tagged boolean-algebra / GO Instrumentation

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GATE IN 2021 | Question: 31
Boolean function $\text{F}$ of three variable $\text{X, Y,}$ and $\text{Z}$ ... $F\left ( X, Y, Z \right )={X}' {Z}' + Y {Z}'$ $F\left ( X, Y, Z \right )={X}' {Y}' Z + XYZ$

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...

Arjun

2.9k points

Arjun asked Feb 19, 2021

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2

GATE2020: 8
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 products expression for f is _________ $f=A\overline{B}+CB$ $f=\overline{B}+C$ $f=\overline{D}+A$ $f=\overline{A}B+\overline{C}D$

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 prod...

soujanyareddy13

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soujanyareddy13 asked Nov 3, 2020

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GATE2020: 11
The boolean expression for the shaded regions as shown in the figure is _________ $(A+B)\bullet (\overline{A}+\overline{B})$ $(A+\overline{B})\bullet (\overline{A}+B)$ $(\overline{A}+B)\bullet (\overline{A}+\overline{B})$ $(\overline{A}+\overline{B})\bullet (A+\overline{B})$

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...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

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4

GATE2019 IN: 21
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.

The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.

Arjun

2.9k points

Arjun asked Feb 10, 2019

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5

GATE2019 IN: 35
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is $X_1Y_1+X_0Y_0$ $X_1\overline Y_1+X_0\overline Y_0\overline Y_1+X_0\overline Y_0 X_1$ $X_1\overline Y_1X_0Y_0$ $X_1Y_1+X_0\overline Y_0Y_1+X_0\overline Y_0\overline X_1$

$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is$X_1Y_1+X_...

Arjun

2.9k points

Arjun asked Feb 10, 2019

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6

GATE2016-18
The Boolean expression $XY+(X’+Y’)Z$ is equivalent to $XYZ’+X’Y’Z$ $X’Y’Z’+XYZ$ $(X+Z)(Y+Z)$ $(X’+Z)(Y’+Z)$

The Boolean expression $XY+(X’+Y’)Z$ is equivalent to$XYZ’+X’Y’Z$$X’Y’Z’+XYZ$$(X+Z)(Y+Z)$$(X’+Z)(Y’+Z)$

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

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7

GATE2012-13
In the sum of products function $f(X,\;Y,\;Z)=\sum(2,\;3,\;4,\;5),$ the prime implicants are $\overline{X}Y,\;X\overline{Y}$ $\overline{X}Y,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}$ $\overline{X}Y\overline{Z},\;\overline{X}YZ,\;X\overline{Y}\;\overline{Z},\;X\overline{Y}Z$

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

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

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8

GATE2018IN: 43
The product of sum expression of a Boolean function F(A, B, C) of three variables is given by $F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \cdot (\overline{A} + B + C) \cdot(\overline{A} + \overline{B} + \overline{C}$) The canonical sum product expression of $F(A, B, C)$ ... $\overline{A}\; \overline{B}\; \overline{C} + \overline{A} B C + A B \overline{C} + A B C$

The product of sum expression of a Boolean function F(A, B, C) of three variables is given by$F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \...

gatecse

1.4k points

gatecse asked Feb 20, 2018