Boolean algebra operations: The Boolean algebra is represented by the two element set such as {0, 1}. Encode logic value for “1” and “0” is “TRUE” and “FALSE” respectively. Operation of Boolean algebra are “~”, “&”, “|” and “^”. Encode logical operations for “~”, “&”, “|” and “^” is “NOT”, “AND”, “OR”, and “EXCLUSIVE-OR” respectively. Table for “~” Boolean operation: The “~” operation means change the bit “1” to “0” and change the bit “0” to “1”. It is also called as “NOT” operation. ~ 0 1 1 0 Table for “&”Boolean operation: This Boolean operation is used to “AND” the value of two bits vectors. & 0 1 0 0 0 1 0 1 Table for “|”Boolean operation: This Boolean operation is used to “OR” the value of two bits vectors. | 0 1 0 0 1 1 1 1 Table for “^”Boolean operation: This Boolean operation is used to “EXCLUSIVE-OR” of two bits vectors. ^ 0 1 0 0 1 1 1 0

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Chapter 2.1, Problem 2.8PP

Program Plan Intro

Boolean algebra operations:

The Boolean algebra is represented by the two element set such as {0, 1}.

Encode logic value for “1” and “0” is “TRUE” and “FALSE” respectively.

Operation of Boolean algebra are “~”, “&”, “|” and “^”.

Encode logical operations for “~”, “&”, “|” and “^” is “NOT”, “AND”, “OR”, and “EXCLUSIVE-OR” respectively.

Table for “~” Boolean operation:

The “~” operation means change the bit “1” to “0” and change the bit “0” to “1”.

It is also called as “NOT” operation.

~
0 1
1 0

Table for “&”Boolean operation:

This Boolean operation is used to “AND” the value of two bits vectors.

& 0 1
0 0 0
1 0 1

Table for “|”Boolean operation:

This Boolean operation is used to “OR” the value of two bits vectors.

| 0 1
0 0 1
1 1 1

Table for “^”Boolean operation:

This Boolean operation is used to “EXCLUSIVE-OR” of two bits vectors.

^ 0 1
0 0 1
1 1 0

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