Question

2. Construct a truth table for the following: a. xyz + x(yz)’ + x’(y + z)...

2. Construct a truth table for the following:

a. xyz + x(yz)’ + x’(y + z) + (xyz)’

The Essentials Of Computer Organization And Architecture (4th Edition) - Chapter 3 - PROB 2E

Note: It seems the Chegg solutions for the textbook are sometimes not correct, need an expert. Will thumbs up any helpful answers. Typed is better.

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Answer #1

Solution:

The truth table for the given expression is constructed as shown below.

Here F is the given expression.

x y z yz (yz)' x(yz)' xyz (xyz)' y+z x'(y+z) F
0 0 0 0 1 0 0 1 0 0 1
0 0 1 0 1 0 0 1 1 1 1
0 1 0 0 1 0 0 1 1 1 1
0 1 1 1 0 0 0 1 1 1 1
1 0 0 0 1 1 0 1 0 0 1
1 0 1 0 1 1 0 1 1 0 1
1 1 0 0 1 1 0 1 1 0 1
1 1 1 1 0 0 1 0 1 0 1

The truth table is constructed and attached below for reference.

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