What is Hexadecimal Number System?
The hexadecimal number system, commonly known as base-16 or just hex, is a system of numbers that employs 16 different symbols for representing various values. There are only 16 symbols used for denoting hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. A decimal value is represented by each digit. D, for instance, is equal to base-10 number 13. This table, which lists the 16 hexadecimal digits and their decimal, octal, and binary equivalents, will be useful for converting between number systems. The following list is additionally useful as a converter or translator.
Numerals in Hexadecimal Number System
This number system uses 16 different symbols.
| Numeral | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Used For | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Example of Hexadecimal Numbers
As hexadecimal is a number system, all numbers in decimal and other number systems can also be represented in the hexadecimal number system. The following table represents some numbers in hexadecimal, decimal, octal, and binary as well.
|
Hexadecimal (Base 16) |
Decimal (Base 10) |
Octal (Base 8) |
Binary (Base 2) |
|---|---|---|---|
|
1A3F |
6719 |
15177 |
1101000111111 |
|
FF |
255 |
377 |
11111111 |
|
2E |
46 |
56 |
101110 |
|
10 |
16 |
20 |
10000 |
|
A0B |
2571 |
5003 |
101000001011 |
|
7F |
127 |
177 |
1111111 |
|
3D4 |
980 |
1714 |
1111010100 |
|
5C6 |
1478 |
2666 |
10111000110 |
|
FFF |
4095 |
7777 |
111111111111 |
|
1000 |
4096 |
10000 |
1000000000000 |
Hex to Decimal Conversion
“Hex to Decimal” is an article on the concept of converting numerals from one number system to another, specifically from the Hexadecimal Number System to the Decimal Number System. As we know, a number system is used to represent and categorize numbers based on their base numbers, which is a fundamental concept in mathematics.
When converting from hexadecimal to decimal, it is important to keep consideration for both number system’s base. The hexadecimal numeral system, usually known as base-16 or just “hex,” is a system of positional digits that uses the base of 16 to represent numbers in mathematics and computing. Hexadecimal employs sixteen different symbols as opposed to the decimal system’s ten, which are “0” through “9” for 0 to 9 and “A” through “F” for ten to fifteen.
This article provides a well-rounded description of the Hexadecimal Number System, the Decimal Number System, and how to convert hexadecimal numerals into decimal numerals.
Table of Content
- What is Hexadecimal Number System?
- What is Decimal Number System?
- Hex to Decimal Formula
- How to Change Hexadecimal to Decimal?
- Hex to Decimal Conversion Table