# C Logical Operators

C programming language has logical operators for logical expressions. The output of a logical operation is a Boolean value – true or false.

In a logical expression, you have one or more operands and each has a truth value, depending on the truth value of each operand the logical operator decides the final truth value of the logical expression.

## Logical Operators

A list of logical operators in C language is given below. The minimum numbers of operands required by each of the operators are also given in the same table.

1. AND (&&)
2. OR (||)
3. NOT (!)

We shall discuss each of them in more detail now.

## AND (&&) operator

The AND operation is denoted by two ‘ampersand’ symbol. To understand the AND operation, consider the following expression,

\begin{aligned}&A \hspace{2px} \&\& \hspace{2px} B\\ \\
&Where \hspace{2px}A = (3 < 4)\hspace{2px} and \hspace{2px} B = (10 < 20)
\end{aligned}

The final output of the expression depends on the following conditions.

\begin{aligned}&A \hspace{5px} is \hspace{5px}  \textbf{true} \hspace{5px}  \&\& \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ true} = A \hspace{5px}  \&\&\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{true}\\
&A \hspace{5px} is \hspace{5px}  \textbf{false} \hspace{5px}  \&\& \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ true} = A \hspace{5px}  \&\&\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{false}\\
&A \hspace{5px} is \hspace{5px}  \textbf{true} \hspace{5px}  \&\& \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ false} = A \hspace{5px}  \&\&\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{false}\\
&A \hspace{5px} is \hspace{5px}  \textbf{false} \hspace{5px}  \&\& \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ false} = A \hspace{5px}  \&\&\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{false}\\
\end{aligned}

So, the AND is only true when both A and B are true.

## OR (||) operator

The OR operation is also useful logical operator in the C language. The value of the expression is true under the following conditions.

\begin{aligned}&A \hspace{5px} is \hspace{5px}  \textbf{true} \hspace{5px}  || \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ true} = A \hspace{5px} ||\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{true}\\
&A \hspace{5px} is \hspace{5px}  \textbf{false} \hspace{5px}  || \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ true} = A \hspace{5px} ||\hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{true}\\
&A \hspace{5px} is \hspace{5px}  \textbf{true} \hspace{5px}  || \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ false} = A \hspace{5px} || \hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{true}\\
&A \hspace{5px} is \hspace{5px}  \textbf{false} \hspace{5px} || \hspace{5px} B \hspace{5px} is \hspace{5px}\textbf{ false} = A \hspace{5px} || \hspace{5px}  B\hspace{5px}  is \hspace{5px} \textbf{false}\\
\end{aligned}

From the above example, it is clear that the OR is only true when at least A or B is true.

## NOT (!) operator

The NOT is called the negation operation. It negates the truth value of the existing expression.

For example,

\begin{aligned}&If \hspace{5px}A \hspace{5px} is \hspace{5px}  \textbf{true} , then\hspace{5px}  !A \hspace{5px}   is \hspace{5px} \textbf{false}\\
&If \hspace{5px}A \hspace{5px} is \hspace{5px}  \textbf{false} , then\hspace{5px}  !A \hspace{5px}   is \hspace{5px} \textbf{true}\\
\end{aligned}

Note:- The

## Example – AND, OR, NOT

/* C Program to demonstrate use of Logical Operators */
#include <stdio.h>
int main() {
int A, B ;
A = (5 < 10); /* True */
B = (10 < 20); /* True */
printf("\n\n\n\n\n");

/* Working of AND operation - both A and B must be true */
if(A && B) {
printf("\tOutput AND - both A and B are true\n\n");
}

/* Operation of Not operator */
A = (2 < 10); /* False */
B = (4 < 8); /* True */

/* A && B is False */
if(!(A && B)) {
printf("\tOutput NOT - (A && B) is False so negation!(A && B) is True\n\n");
}

/* Working of OR operator - any one of A or B must be true */
if (A || B) {
printf("\tOutput OR - Any one of A or B is true\n\n");
}

getch();
return 0;
}

## Output – AND, OR, NOT

Output AND - both A and B are true
Output NOT - (A && B) is False so negation !(A && B) is True
Output OR - Any one of A or B is true

## References

• Balagurusamy, E. 2000. Programming in ANSI C. Tata McGraw-Hill Education,
• Brian W. Kernighan, Dennis M. Ritchie. 1988. C Programming Language, 2nd Edition. Prentice Hall.
• Kanetkar, Yashavant. 20 November 2002. Let us C. Bpb Publications.