Computer Science
State the two absorption laws. Verify any one of them using truth table.
Boolean Algebra
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Answer
- A + A.B = A
- 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
| A | B | A.B | A+A.B |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 |
The columns A and A+A.B have same values, hence proved.
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