1.

State the Absorption laws of Boolean algebra with the help of truth tables.

Answer»

Absorption law states that 

A + A . B = A and A . (A + B) = A 

Proof: 

The Truth table of the expression A + A . 

B = A is as follows.

ABA.BA + A.B
0000
0100
1001
1111

Here both columns A and A + A . B are identical. Hence proved. 

For A . (A + B) = A, the truth table is as follows:

ABA+BA .( A+B)
0000
0100
1001
1111

Both columns A & A . (A + B) are identical. Hence proved



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