Name
Solutions
____________________
ECE Box ______________________________
ECE 2022
Homework 2
Each problem is worth the number of points show.
Clearly show the final answer to each problem by drawing a heavy square around it.
Show your
work in a neat, organized and easily followed sequence if you expect to get any partial credit.
This assignment is due
Tuesday, Nov.11
by 6pm in AK108.
Problem 1 – 10 points total (
your simplification steps can be different but with same result
)
a)
Simplify the following Boolean expression by applying the properties of Boolean algebra,
until it matches the simplified form given.
Use the rule numbers, law and theorem names
given on the attached sheet to indicate which transformations you have applied in each step
of the process.
Since the answer is given, you will be graded on properly expressing the
equations at each step in the sequence as well as the name of the property used at that step.
Note: in the following, I have used the
prime
notation, x’, as used in the textbook to denote the
not operation and shown as
in class.
a) Show that xy’ + xy + x’(x’ + z) can be simplified to 1.
Step
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 Winter '07
 Cyganski
 Logic, Boolean Algebra, Boolean function, George Boole, Boolean expression

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