2. Boolean Algebra a) Use a truth table to demonstrate the validity of x+yz=(x+y)(x+z) b) Simplify to a minimum number of literals xyz+x'y+xyz' c) Simplify to a minimum number of literals (x+y)'(x'+y')'

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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2. Boolean Algebra

2. Boolean Algebra
a) Use a truth table to demonstrate the validity of x+yz=(x+y)(x+z)
b) Simplify to a minimum number of literals xyz+x'y+xyz'
c) Simplify to a minimum number of literals (x+y)'(x'+y')'
d) Reduce the following to 3 literals (x'y'+z)'+z+xy+wz
e) Draw the original and the simplified circuit for part b.
f) Find the complement of F=wx+yz, and then show that FF'=0 and F+F'=1 using the
Transcribed Image Text:2. Boolean Algebra a) Use a truth table to demonstrate the validity of x+yz=(x+y)(x+z) b) Simplify to a minimum number of literals xyz+x'y+xyz' c) Simplify to a minimum number of literals (x+y)'(x'+y')' d) Reduce the following to 3 literals (x'y'+z)'+z+xy+wz e) Draw the original and the simplified circuit for part b. f) Find the complement of F=wx+yz, and then show that FF'=0 and F+F'=1 using the
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