# A + AB gets simplified to

1. A + B

2. AB

3. B

4. A

 Answer: Option 4. A

## Detailed Solution:

The correct answer is A.

## Simplification:

F = A + AB

Taking A common in the above expression, we get

F = A ( 1 + B )

1 + Any variable is always 1 in Boolean Algebra.

So F = A ( 1 )

F = A

• Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
• The Boolean variables are represented as binary numbers to represent truths: 1 = true and 0 = false.
• Elementary algebra deals with numerical operations whereas Boolean algebra deals with logical operations.

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