Authors:
Linda Null ,julia Lobur
Chapter:
Boolean Algebra And Digital Logic
Exercise:
Review Of Essential Terms And Concepts
Question:4 | ISBN:9780763704445 | Edition: 3
Question
4. Create truth tables for the Boolean operators OR, AND, and NOT.
Answer
The output of an OR gate is High when any one of the inputs is High. The input 1 represents High and input 0 represents Low.
Truth table for the Boolean operator OR:
|
Inputs |
Output |
|
|
x |
y |
x+y |
|
0 |
0 |
0 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
1 |
The output of an AND gate is High when all the inputs are High. The input 1 represents High and input 0 represents Low.
Truth table for the Boolean operator AND:
|
Inputs |
Output |
|
|
x |
y |
x.y |
|
0 |
0 |
0 |
|
0 |
1 |
0 |
|
1 |
0 |
0 |
|
1 |
1 |
1 |
The output of a NOT gate is complement to its input.
Truth table for the Boolean operator NOT:
|
Input |
Output |
|
0 |
1 |
|
1 |
0 |