A + AB gets simplified to
By BYJU'S Exam Prep
Updated on: September 25th, 2023
- A + B
- AB
- A
- B
Let us take x = A + AB
Taking A common in the above expression, we get: F = A (1 + B)
1 + Any Variable is always 1 in Boolean Algebra.
Therefore, F = A.
Table of content
Answer: After Simplification, A + AB will be equal to A.
|
Name |
OR Form |
AND Form |
|
Null Law |
1 + A = 1 |
0.A = 0 |
|
Identity law |
0 + A = A |
1.A = A |
|
Idempotent Law |
A + A = A |
A.A = A |
|
Commutative Law |
A + B = B + A |
AB = BA |
|
Inverse Law |
A + A’ = 1 |
AA’ = 0 |
|
Associative Law |
(A + B) + C = A + (B + C) |
(AB) C |
|
Distributive Law |
A(B + C) = AB + AC |
A + BC = (A + B)(A + C) |
|
Absorption Law |
A + AB = A |
A(A + B) = A |
|
De Morgan’s Law |
(A + B)’ = A’B’ |
(AB)’ = A’ + B’ |
Summary:
A + AB gets simplified to
After simplification, the value of A+AB will be equal to A.
