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Computer Science

State the two absorption laws. Verify any one of them using truth table.

Boolean Algebra

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Answer

  1. A + A.B = A
  2. A.(A + B) = A

Proof of First Law:

By using algebraic method

L.H.S = A + A.B
         = A(1 + B)
         = A.1
         = A
L.H.S = R.H.S
Hence proved.

By using truth table

ABA.BA+A.B
0000
0100
1001
1111

The columns A and A+A.B have same values, hence proved.

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