Introduction To Computing Systems
3rd Edition
ISBN: 9781260150537
Author: PATT, Yale N., Patel, Sanjay J.
Publisher: Mcgraw-hill,
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Question
Chapter 2, Problem 33E
a.
Program Plan Intro
OR operation:
- OR function needs two inputs and produces one output.
- It is also known as binary logical function.
- If one of the inputs or both the inputs are “1”, then one-bit OR operation produces the output as “1”.
- If both the inputs are “0”, then OR operation produces the output as “0”.
- The following diagram depicts the one-bit OR operation,
b.
Explanation of Solution
101 OR 110:
The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Explanation:
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”...
c.
Explanation of Solution
11100000 OR 10110100:
The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Explanation:
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”...
d.
Explanation of Solution
00011111 OR 10110100:
The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Explanation:
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”...
e.
Explanation of Solution
(0101 OR 1100) OR 1101:
The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Explanation:
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”.
- When “X=1”, and “Y=1”, the output “Z” is “1”, because both the inputs “X” and “Y” contains the value “1”...
f.
Explanation of Solution
0101 OR (1100 OR 1101):
The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Explanation:
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”.
- When “X=1”, and “Y=1”, the output “Z” is “1”, because both the inputs “X” and “Y” contains the value “1”...
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Chapter 2 Solutions
Introduction To Computing Systems
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Ch. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - Prob. 22ECh. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - Prob. 25ECh. 2 - Prob. 26ECh. 2 - Prob. 27ECh. 2 - When is the output of an AND operation equal to...Ch. 2 - Prob. 29ECh. 2 - Prob. 30ECh. 2 - When is the output of an OR operation equal to 1?
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