Can someone give me a simple explanation of how to simplify logic functions please?

Question

For example F = A + A(Inverted).B

Answer 1

Best Answer - Chosen by Voters

Check it with a truth table.

If F = A + A'.B
then F = (A'.B')'

Answer 2

This one for example cannot be simplified.

There's a few rules you can apply to help you, but it takes guesswork and intuition.

Notation:
A, B is a bit
A', B' are those bits inverted
+ is OR
. is AND
1 is TRUE, 0 is FALSE

(A + A') = 1
(A . A') = 0
(A + AB) = A (because if AB is true, A must be true.)
(A . AB) = AB (because A is implicitly required in AB)
(AB + A'B) = B (because A can be true or false)
(A+B)' = (A' . B') (DeMorgan's Law)
(A . B) = (A' + B') (DeMorgan's Law)

Answer 3

there is a lot of information online. A lot of universities publish their notes and you can download them. Check it out. It'll help you.