Arithmetic Operators

Table 2-4 lists C/C++'s arithmetic operators. The operators +, −, *, and / work as they
do in most other computer languages. You can apply them to almost any built-in data
type. When you apply / to an integer or character, any remainder will be truncated.
For example, 5/2 will equal 2 in integer division.
The modulus operator % also works in C/C++ as it does in other languages,
yielding the remainder of an integer division. However, you cannot use it on
floating-point types. The following code fragment illustrates %:
int x, y;
x = 5;
y = 2;
printf("%d ", x/y); /* will display 2 */
printf("%d ", x%y); /* will display 1, the remainder of
the integer division */
x = 1;
y = 2;
printf("%d %d", x/y, x%y); /* will display 0 1 */
The last line prints a 0 and a 1 because 1/2 in integer division is 0 with a remainder of 1.
The unary minus multiplies its operand by –1. That is, any number preceded by a
minus sign switches its sign.

Increment and Decrement
C/C++ includes two useful operators not generally found in other computer
languages. These are the increment and decrement operators, ++ and −−. The operator
++ adds 1 to its operand, and −− subtracts one. In other words:
x = x+1;
is the same as
++x;
and

x = x-1;
is the same as
x--;
Both the increment and decrement operators may either precede (prefix) or follow
(postfix) the operand. For example,
x = x+1;
can be written
++x;
or
x++;
There is, however, a difference between the prefix and postfix forms when you use
these operators in an expression. When an increment or decrement operator precedes
its operand, the increment or decrement operation is performed before obtaining the
value of the operand for use in the expression. If the operator follows its operand,
 

Operator                             Action
−                             Subtraction, also unary minus
+                                          Addition
*                                       Multiplication
/                                           Division
%                                        Modulus
– –                                     Decrement
++                                      Increment

Table 2-4. Arithmetic Operators

the value of the operand is obtained before incrementing or decrementing it. For
instance,
x = 10;
y = ++x;
sets y to 11. However, if you write the code as
x = 10;
y = x++;
y is set to 10. Either way, x is set to 11; the difference is in when it happens.
Most C/C++ compilers produce very fast, efficient object code for increment and
decrement operations—code that is better than that generated by using the equivalent
assignment statement. For this reason, you should use the increment and decrement
operators when you can.
Here is the precedence of the arithmetic operators:
highest ++ – –
– (unary minus)
* / %
lowest + –
Operators on the same level of precedence are evaluated by the compiler from left to
right. Of course, you can use parentheses to alter the order of evaluation. C/C++ treats
parentheses in the same way as virtually all other computer languages. Parentheses
force an operation, or set of operations, to have a higher level of precedence.

Relational and Logical Operators
In the term relational operator, relational refers to the relationships that values can
have with one another. In the term logical operator, logical refers to the ways these
relationships can be connected. Because the relational and logical operators often
work together, they are discussed together here.
The idea of true and false underlies the concepts of relational and logical operators.
In C, true is any value other than zero. False is zero. Expressions that use relational or
logical operators return 0 for false and 1 for true.
C++ fully supports the zero/non-zero concept of true and false. However, it also
defines the bool data type and the Boolean constants true and false. In C++, a 0 value
is automatically converted into false, and a non-zero value is automatically converted
into true. The reverse also applies: true converts to 1 and false converts to 0. In C++,

the outcome of a relational or logical operation is true or false. But since this
automatically converts into 1 or 0, the distinction between C and C++ on this issue is
mostly academic.
Table 2-5 shows the relational and logical operators. The truth table for the logical
operators is shown here using 1's and 0's.
p             q               p && q                 p || q               !p
0             0                    0                          0                 1
0             1                    0                          1                1
1             1                    1                          1                0
1             0                    0                          1                0
Both the relational and logical operators are lower in precedence than the
arithmetic operators. That is, an expression like 10 > 1+12 is evaluated as if it were
written 10 > (1+12). Of course, the result is false.
You can combine several operations together into one expression, as shown here:
10>5 && !(10<9) || 3<=4

Relational Operators
Operator                     Action
>                               Greater than
>=                        Greater than or equal
<                               Less than
<=                       Less than or equal
= =                               Equal
!=                                Not equal

Logical Operators
Operator                       Action
&&                                AND
||                                      OR
!                                     NOT

Table 2-5. Relational and Logical Operators

In this case, the result is true.
Although neither C nor C++ contain an exclusive OR (XOR) logical operator, you
can easily create a function that performs this task using the other logical operators.
The outcome of an XOR operation is true if and only if one operand (but not both) is
true. The following program contains the function xor() , which returns the outcome of
an exclusive OR operation performed on its two arguments:
#include <stdio.h>
int xor(int a, int b);
int main(void)
{
printf("%d", xor(1, 0));
printf("%d", xor(1, 1));
printf("%d", xor(0, 1));
printf("%d", xor(0, 0));
return 0;
}
/* Perform a logical XOR operation using the
two arguments. */
int xor(int a, int b)
{
return (a || b) && !(a && b);
}
The following table shows the relative precedence of the relational and logical
operators:
Highest

!
> >= < <=
== !=
&&
Lowest

  ||

As with arithmetic expressions, you can use parentheses to alter the natural order of
evaluation in a relational and/or logical expression. For example, 

!0&& 0 || 0
is false. However, when you add parentheses to the same expression, as shown here,
the result is true:
!(0 && 0) || 0
Remember, all relational and logical expressions produce either a true or false
result. Therefore, the following program fragment is not only correct, but will print
the number 1.
int x;
x = 100;
printf("%d", x>10);