(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Simplify the following expressions using Boolean Algebra.

a) A + AB (A or A and B)

b) A'BC + AC (A(not) and B and C or A and C)

c) A'B + ABC' + ABC (A(not) and B or A and B and C(not) or A and B and C)

2. Relevant equations

Some simple boolean algebra rules.

x+1=0

x*x=x

x*x'=0

3. The attempt at a solution

For a, I got the answer of A.

I did:

A(1 + B)

A(1)

= A

For b, I got the answer AC.

I did:

C(A'B + A)

C(0 + A)

= AC

For c, I got the answer AB.

I did:

B(A' + AC' + AC)

B(A' + (A.C') + (A.C))

B(A' + (0) + A)

B(A' + A)

B(A)

= AB

Are my calculations correct or am I completely wrong? Thank you for your help.

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# Homework Help: Boolean Algebra Help

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