• 04-Feb-2023

# Unravelling the Mystery of Operator Precedence

When it comes to mathematics and computer science, understanding operator precedence is essential to solving complex problems. In this article, we'll explore the concept of operator precedence and how it determines which operator is evaluated first.

## What is Operator Precedence?

Operator precedence is the order in which operators are evaluated in mathematical and computer science equations and expressions. Generally, all operators are evaluated in a specific, predetermined order, referred to as precedence.

The order of precedence is generally determined by the operators themselves; it is based on the order in which the operators are written. For example, the multiplication operator (*) has higher precedence than the addition operator (+), so any multiplication operator in an equation will be evaluated before any addition operator.

## How Does Precedence Determine Which Operator is Evaluated First?

Precedence determines which operator is evaluated first by assigning each operator a numerical value. This numerical value is referred to as the "precedence level". The higher the precedence level, the more important the operator is and the earlier it will be evaluated.

For example, the multiplication operator (*) has a higher precedence level than the addition operator (+), so if there are multiple multiplication and addition operators in an equation, the multiplication operator will be evaluated first.

## Examples of Precedence

To better understand how precedence determines which operator is evaluated first, let's look at some examples:

In the equation 2 + 4 * 5, the multiplication operator (*) has a higher precedence than the addition operator (+), so the multiplication operator will be evaluated first. The equation would be evaluated as 2 + (4 * 5), which equals 22.

In the equation 2 * 4 + 5, the multiplication operator (*) has a higher precedence than the addition operator (+), so the multiplication operator will be evaluated first. The equation would be evaluated as (2 * 4) + 5, which equals 13.

## Conclusion

As we can see, precedence determines which operator is evaluated first by assigning each operator a numerical value. This numerical value is referred to as the "precedence level". The higher the precedence level, the more important the operator is and the earlier it will be evaluated. Understanding operator precedence is essential to solving complex problems in mathematics and computer science.

• Mathematics/Computer Science