Question
Download Solution PDFIn Boolean algebra, (A.A̅) + A =?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF(A.A̅) + A
= 0 + A = A
All Boolean algebra laws are shown below:
|
Name |
AND Form |
OR Form |
|
Identity law |
1.A = A |
0 + A = A |
|
Null Law |
0.A = 0 |
1 + A = 1 |
|
Idempotent Law |
A. A = A |
A + A = A |
|
Inverse Law |
AA’ = 0 |
A + A’ = 1 |
|
Commutative Law |
AB = BA |
A + B = B + A |
|
Associative Law |
A(B.C) = (A.B)C |
(A + B) + C = A + (B + C) |
|
Distributive Law |
A + BC = (A + B) (A + C) |
A (B + C) = AB + AC |
|
Absorption Law |
A (A + B) = A |
A + AB = A |
|
De Morgan’s Law |
(AB)’ = A’ + B’ |
(A + B)’ = A’B’ |
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