(B) In Boolean algebra,the $OR$ operation between a variable and its complement always results in $1$.Case $1$: If $A = 1$,then $\bar{A} = 0$. Therefo

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(B) In Boolean algebra,the $OR$ operation between a variable and its complement always results in $1$.Case $1$: If $A = 1$,then $\bar{A} = 0$. Therefore,$A + \bar{A} = 1 + 0 = 1$.Case $2$: If $A = 0$,then $\bar{A} = 1$. Therefore,$A + \bar{A} = 0 + 1 = 1$.Thus,for any value of $A$,$A + \bar{A} = 1$.

Class 12 Physics Semiconductor Electronics Boolean Algebra and Logic Gates

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The Boolean equation $A + \bar{A} = .......$

A
$0$
B
$1$
C
$A$
D
$\bar{A}$

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Class 12 Questions

Class 12

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Semiconductor Electronics

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Boolean Algebra and Logic Gates

Give the truth table for the circuit shown in the figure.

Difficult

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Which logic gate is represented by the following truth table?

$A$ $B$ $Y$

$0$ $0$ $1$

$0$ $1$ $0$

$1$ $0$ $0$

$1$ $1$ $1$

$A$	$B$	$Y$
$0$	$0$	$1$
$0$	$1$	$0$
$1$	$0$	$0$
$1$	$1$	$1$

Easy

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The symbolic representations of four logic gates are given below. The logic symbols for $OR$,$NOT$,and $NAND$ gates are respectively:

MediumAIPMT 2009

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What is the output $Y$ in the following circuit, when all the three inputs $A, B, C$ are first '$0$' and then '$1$'?

EasyNEET 2016

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The output of an $OR$ gate is $1$:

EasyAIPMT 2004

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The Boolean equation $A + \bar{A} = .......$

Similar Questions

Give the truth table for the circuit shown in the figure.

Which logic gate is represented by the following truth table? $A$ $B$ $Y$ $0$ $0$ $1$ $0$ $1$ $0$ $1$ $0$ $0$ $1$ $1$ $1$

The symbolic representations of four logic gates are given below. The logic symbols for $OR$,$NOT$,and $NAND$ gates are respectively:

What is the output $Y$ in the following circuit, when all the three inputs $A, B, C$ are first '$0$' and then '$1$'?

The output of an $OR$ gate is $1$:

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Which logic gate is represented by the following truth table?

$A$ $B$ $Y$

$0$ $0$ $1$

$0$ $1$ $0$

$1$ $0$ $0$

$1$ $1$ $1$