Solving a Logic Function: A' x B + B

[strk]

Homework Statement

http://i139.photobucket.com/albums/q292/strkthug/KCL/logicFunction.jpg

Homework Equations

The Attempt at a Solution

I have no idea how to do it I already got it wrong I just want to know how to do it because

this was what I got

F= A' x B + B and For some reason I got it wrong

 

[n.karthick]

Hi, you are asked express output F as logic function of the inputs.
For example output is C0 if A'B' is true and output is C1 if A'B is true and so on.

 

[strk]

Hi, you are asked express output F as logic function of the inputs.
For example output is C0 if A'B' is true and output is C1 if A'B is true and so on.

can you explain more please

 

[nivaOne]

Hi

Does 'Karnaugh' ring a bell to you?

http://en.wikipedia.org/wiki/Karnaugh_map

If so, it's an alternative way that can lead to the answer.

 

[DeeNos]

Dear student,

Solving a logic function involves using logical operations to manipulate and simplify the given expression. In this case, we are given the expression F = A' x B + B. To solve this, we need to understand the basic principles of logic, such as the distributive property, De Morgan's laws, and the identity and complement laws.

First, let's simplify the expression using the distributive property:

F = A' x B + B
= (A' x B) + (B x 1) (applying the distributive property)
= (A' x B) + B (since B x 1 = B)

Next, we can use De Morgan's laws to further simplify the expression:

F = (A' x B) + B
= (A' + B')' + B (applying De Morgan's law)
= (A' + B) + B (applying the complement law)
= A' + (B + B) (applying the associative law)
= A' + B (since B + B = B)

Therefore, the simplified expression is F = A' + B.

I hope this helps you understand the process of solving a logic function. It is important to remember the basic principles of logic and use them to manipulate the given expression. Keep practicing and you will become more comfortable with solving logic functions.

Best of luck with your studies!

Sincerely,