Solve Boolean Algebra with Help | 65 Chars

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SUMMARY

This discussion focuses on simplifying Boolean algebra expressions, specifically the problems presented in a homework assignment. The expressions include A + AB, A'BC + AC, and A'B + ABC' + ABC. The participant's solutions for parts a, b, and c were A, AC, and AB respectively, with feedback indicating that the solution for part b was incorrect due to a misunderstanding of Boolean principles. The discussion highlights the importance of correctly applying Boolean algebra rules such as x + 1 = 1 and x * x' = 0.

PREREQUISITES
  • Understanding of Boolean algebra fundamentals
  • Familiarity with Boolean expressions and simplification techniques
  • Knowledge of basic Boolean algebra rules such as x + 1 = 1 and x * x' = 0
  • Ability to manipulate logical variables and expressions
NEXT STEPS
  • Study Boolean algebra simplification techniques in detail
  • Learn about Karnaugh maps for visual simplification of Boolean expressions
  • Explore the application of Boolean algebra in digital circuit design
  • Practice solving more complex Boolean algebra problems and verify solutions
USEFUL FOR

This discussion is beneficial for students studying digital logic design, educators teaching Boolean algebra, and anyone looking to improve their skills in simplifying logical expressions.

EEhokie13
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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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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.
 

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