# Hexadecimal to Decimal Conversion: Steps, Chart, and Examples

reviewed by Jo-ann Caballes

Updated on October 6, 2024

Hexadecimal and decimal are some of the different types of number systems. There are other types; octal and binary number systems. These systems were designed to help us organize and represent numbers in maths, finance, engineering, and science.

In this article, we discuss what the hexadecimal system is, convert hexadecimal to decimal number systems with examples, and practice questions.

## How to Convert Hexadecimal to Decimal

The decimal number system (base 10) is the most commonly known base number system. Its 10 symbols 0-9) make it most convenient for real-life applications such as measuring time, counting money, and so on,

The Hexadecimal, however, has a base number system of 16 symbols (0-F). Although we don’t use the hexadecimal system as widely as the decimal base system, the hexadecimal is used for other important tasks like programming, web development, and computing.

Cool fact: Hex means 6 and decimal stands for the base number of 10–this explains how the name, hexadecimal is gotten.

The Hexadecimal to Decimal chart makes it easier to convert from decimal to hexadecimal:

From this hexadecimal to decimal conversion table, note two things: the values of each system begin with 0. Also, you can tell that the decimal value and hexadecimal values share the same digits from 0-9, and then from 10 – 15, the hexadecimal values change to A – F.

### Hexadecimal to decimal example

If we were to convert 36E16 to a decimal system, here’s how:

We’d multiply each number from the rightmost digit to the left by exponents 160,161,162, 163, and so on.

This means for 36E16, we’ll start by multiplying E by 160, then multiply 6 by 161, and 3 by 162

From the table, E = 14, so 14 × 160. Since 160 is an exponent of 0, it is equal to 1.

14 × 1 = 14

6 × 161 = 96

3 × 162 = 768

Next, we sum up all these figures.

14 + 96 + 768 = 87810

Hence, 36E16 is 87810 when converted to a decimal base system.

## Hex to decimal formula

There isn’t a specific formula for converting hexadecimal to a decimal system. Simply follow the process:

- Convert the hexadecimal value to its decimal digits (you can use the chart)
- Add the product of each number.

The process can, however, be expressed as

N10=(dn × 16n) + (dn-1 × 16n-1) +…+ (d1 × 161) + (dn × 160)

n = position of digits

n-1 = position of digits from the left side

d = individual digits

Note that this is not a standard formula and if your ward finds it easier to follow the process above, let them.

The below image shows the result of each exponent to be multiplied by the digit that has them.

## How to Convert from Hex to Decimal: Solved Math Tasks

### Solved math problem 1

Convert (24316) to a decimal number system.

#### Answer

24316 = 512 + 64 + 3

24316 = 57910 |

### Solved math problem 2

What is the value of 967416 in the decimal system?

#### Answer

967416 = 36864 +1536 +112 + 4

967416 = 3851610 |

### Solved math problem 3

Convert 56316 to decimal form

#### Answer

56316 = 1280 + 96 + 3

56316 = 137910 |

### What is the decimal equivalent to the hexadecimal number D?

D is 13 when converted to the base 10 system and below is how to solve it if you come across it in a question:

### Solved math problem 4

What is the decimal form of 4D316?

#### Answer

The decimal equivalent of 4D316 is calculated as

4× 256 + 13 × 16 + 3

4D316 = 123510 |

### The decimal equivalent of the hexadecimal number F is

15 is the base 10 alternative to the hexadecimal number F when converted to the decimal system.

### Solved math problem 5

What is the decimal form of C87D6F16?

#### Answer

The hexadecimal number C is equivalent to the decimal number 12. D = 13 and F =15. This means C87D6F16 is:

C87D6F16 = 12582912 + 524288 + 28672 + 3328 + 96 + 15

C87D6F16 = 1313931110 |

Encourage your ward to remember the following to make the conversion from hexadecimal to decimal easier:

A = 10

B = 11

C = 12

D = 13

E = 14

F = 15

## Hexadecimal to Decimal Conversion: Practice Math Problems

## Hexadecimal to Decimal Conversion: worksheets

Learn more about the number base systems with Brighterly’s free worksheets:

- Base Ten worksheets
- Simplifying exponents worksheets
- Decimal place value worksheets
- Decimals worksheets