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”...