McqMate
| Q. |
Simplify Y = AB’ + (A’ + B)C. |
| A. | ab’ + c |
| B. | ab + ac |
| C. | a’b + ac’ |
| D. | ab + a |
| Answer» A. ab’ + c | |
| Explanation: y = ab’ + (a’ + b)c = ab’ + (ab’)’c | |
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Prem Pal
1 year ago
AB' + (A' + B)C :- AB' + A'C + BC(A + A')
AB' + ABC + A'C + A'BC
A(B' + BC) + A'C (1 + B)
A(B' + B) (B' + C) + A'C
AB' + AC + A'C
AB' + C(A + A')
AB' + C
AB' + ABC + A'C + A'BC
A(B' + BC) + A'C (1 + B)
A(B' + B) (B' + C) + A'C
AB' + AC + A'C
AB' + C(A + A')
AB' + C
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