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Question
According to the Principle of duality, the Boolean equation
(A+ B') • (A+ 1) =A+ B' will be equivalent to ______.
Options
(A' + B) • (A'+ 1) = A' + B
(A • B') +(A • 0) = A • B'
(A' • B) +(A' • 1) =A' • B
(A' • B) +(A' • 0) =A' • B
Solution
According to the Principle of duality, the Boolean equation
A+ B') • (A+ 1) =A+ B' will be equivalent to (A • B') +(A • 0) =A • B'.
Explanation:
The principle of duality asserts that AND becomes OR and vice versa, 0 becomes and vice versa, but complement remains constant.
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