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Q&A CBSE12A-2018-C06A #5740

Question:

State any one Absorption Law of Boolean Algebra and verify it using truth table.

Answer:

X + X . Y = X
Verification:

X Y X.Y X+X.Y
0 0 0 0
0 1 0 0
1 0 0 1
1 1 1 1

OR
X . (X + Y)= X
Verification:

X Y X+Y X.(X+Y)
0 0 0 0
0 1 1 0
1 0 1 1
1 1 1 1

OR
X + X’ . Y = X + Y
Verification:

X Y X’ X’.Y X+X’.Y X+Y
0 0 1 0 0 0
0 1 1 1 1 1
1 0 0 0 1 1
1 1 0 0 1 1

OR
X . (X’+ Y)= X . Y
Verification:

X Y X’ X’+Y X.(X’+Y) X.Y
0 0 1 1 0 0
0 1 1 1 0 0
1 0 0 0 0 0
1 1 0 1 1 1