Which of the following is equivalent of the Boolean expression gi
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Which of the following is equivalent of the Boolean expression given below?
A + A̅.B + A.B̅A. B̅ + A̅
B. A + B̅
C. B + A̅
D. A + B
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
Concept-
- The branch of algebra which deals with the values of the variables in the form of the truth values true and false is called Boolean algebra.
- True and false are usually denoted by 1 and 0 respectively
Calculation:
Let F(A, B) = A + A̅ .B + A.B̅
F(A, B) = A (1 + B̅) + A̅.B
F(A, B) = A + A̅.B
F(A, B) = (A + A̅).(A + B)
F(A, B) = A + B