Solve Boolean Algebra with Help | 65 Chars

In summary, the conversation discusses simplifying expressions using Boolean Algebra and includes examples and attempts at solutions for three expressions. The correct solutions for part a and c are A and AB, respectively. However, the solution for part b is incorrect and the individual may have missed the concept of a not being false.
  • #1
EEhokie13
11
0
1. Homework Statement
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. Homework 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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  • #2
Your part b is incorrect. How do you get Not(A) and B == False? What if A were false and B were true?

Your part c is incorrect. You appear to be making the same kind of mistake with A.C'

So it appears you are correctly understanding a number of the things you should, but you are missing at least the one thing you missed twice here.
 

What is Boolean Algebra?

Boolean Algebra is a mathematical system that deals with logical expressions using variables and operators such as AND, OR, and NOT.

How can I solve Boolean Algebra expressions?

To solve Boolean Algebra expressions, you can use truth tables, algebraic manipulation, or Karnaugh maps.

What is the purpose of using Boolean Algebra?

Boolean Algebra is widely used in digital electronics, computer science, and mathematical logic to analyze and simplify complex logical expressions.

What are the basic laws of Boolean Algebra?

The basic laws of Boolean Algebra include the commutative, associative, distributive, identity, and complement laws.

Can I use Boolean Algebra in real-life applications?

Yes, Boolean Algebra has practical applications in various fields such as computer programming, circuit design, and database queries.

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