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1. State the two Absorption laws of Boolean algebra. Verify using the truth table.

2. Simplify using the laws of Boolean algebra. At each step state clearly the law used for simplification. F = x.y + x.z + x.y.z.

1 Answer

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1. The two Absorption law of Boolean algebra are

  • A +AB = A
  • A (A + B) = A

Verification using truth table

2. Simplification using Boolean algebra.
F = x.y+ x.z+ x.y.z
= x(1 + y + z + yz)
= x(1) - using property of addition 1 + x = 1
= x - property of multiplication x.1 = x

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