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#
Authors:
Linda Null ,julia Lobur
Chapter:
Boolean Algebra And Digital Logic
Exercise:
Exercises
Question:2 | ISBN:9780763704445 | Edition: 3

Question

2. Construct a truth table for the following:



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Answer

a)

Given expression: 

\large xyz+x\bar{y}\bar{z}+\bar{x}\bar{y}\bar{z}

Truth table:

x y z xyz \large x\bar{y}z \large \bar{x}\bar{y}\bar{z} \large xyz+x\bar{y}\bar{z}+\bar{x}\bar{y}\bar{z}
0 0 0 0 0 1 1
0 0 1 0 0 1 1
0 1 0 0 0 1 1
0 1 1 0 0 1 1
1 0 0 0 1 1 1
1 0 1 0 1 1 1
1 1 0 0 1 1 1
1 1 1 1 0 0 1

 

b)

Given expression:

(x+y)(x+z)(\bar{x}+z)

Truth table:

x y z x+y x+z \bar{x}+z (x+y)(x+z)(\bar{x}+z)
0 0 0 0 0 1 1
0 0 1 0 1 1 1
0 1 0 1 0 1 1
0 1 1 1 1 1 1
1 0 0 1 1 0 0
1 0 1 1 1 1 1
1 1 0 1 1 0 0
1 1 1 1 1 1 1

 

0 0

Discussions

dulam shiva

b)  The truth table for the following Boolean expression is:

(x+y)(x+z)(x’+z)

x

y

z

x’

x+y

x+z

x’+z

(x+y)(x+z)(x’+z)

0

0

0

1

0

0

1

0

0

0

1

1

0

1

1

0

0

1

0

1

1

0

1

0

0

1

1

1

1

1

1

1

1

0

0

0

1

1

0

0

1

0

1

0

1

1

1

1

1

1

0

0

1

1

0

0

1

1

1

0

1

1

1

1

I got the different answer for the quetion b, please check

Post the discussion to improve the above solution.