- #1
EEhokie13
- 11
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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.
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.