GATE EE
Digital Electronics
Boolean Algebra
Previous Years Questions

## Marks 1

The Boolean expression $$AB + A\overline C + BC$$ simplifies to
For a $$3$$ -input logic circuit shown below, the output $$Z$$ can be expressed as ...
$$f\left( {A,\,B,\,C,\,D} \right) = \Pi M\left( {0,1,3,4,5,7,9,11,12,13,14,15} \right)$$ is a Maxterm representation of a Boolean function $$f(A,B,C,D... Consider the following Sum of products expression,$$F.F = ABC + \overline A \overline B C + A\overline B C + \overline A BC + \overline A \over...
In the sum of products function $$f\,\left( {X,\,Y,\,Z} \right) = \sum \left( {2,\,\,3,\,\,4,\,\,5} \right),$$ the prime implicants are

## Marks 2

The logical gate implemented using the circuit shown below where $${V_1}$$ and $${V_2}$$ are inputs (with $$0$$ $$V$$ as digital $$0$$ and $$5$$ $$V$$...
The simplified form of the Boolean expression $$Y = \left( {\overline A BC + D} \right)\left( {\overline A D + \overline B \overline C } \right)$$ can...
The Boolean expression $$X\overline Y Z + XYZ + \overline X Y\overline Z + \overline X \overline Y Z + XY\overline Z$$ can be simplified to
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