What is Hexadecimal Number System?

Hexadecimal is a number system combining “hexa” for 6 and “deci” for 10. It uses 16 digits: 0 to 9 and A to F, where A stands for 10, B for 11, and so on. Similar to the regular decimal system, it counts up to F instead of stopping at 9. Each digit in hexadecimal has a weight 16 times greater than the previous one, following a positional number system.

When converting to another system, we multiply each digit by the power of 16 based on its position. For example, in the number 7B3, 7 is multiplied by 16 squared, B by 16 to the power of 1, and 3 by 16 to the power of 0.

Facts about Hexadecimal Numbers

  • Hexadecimal is a number system with a base value of 16.
  • Hexadecimal numbers use 16 symbols or digital values: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
  • A, B, C, D, E, and F represent 10, 11, 12, 13, 14, and 15 in single-bit form.
  • If you see an “0x” as Prefix, it indicates the number is in Hexadecimal. For example, 0x3A
  • The position of each digit in a Hexadecimal number has a weight of 16 to the power of its position.

Hexadecimal Number System

Hexadecimal Number System is a base-16 numeral system used in diverse fields, especially in computing and digital electronics. It consists of 16 symbols, including numbers 0 to 9 and letters A to F, offering a compact way to represent binary-coded values. The hexadecimal number system is sometimes also represented as, ‘hex’.

Number Systems are various ways to use numbers to represent large numbers and information. The hexadecimal number system is introduced to students in class 9. In this article, we will learn about, the Hexadecimal Number System, Hexadecimal Number System Table, Hexadecimal Number System Examples, and Others in detail.

Before starting with the Hexadecimal Number System we first learn about the Number System.

Table of Content

  • What is Number System?
  • What is Hexadecimal Number System?
  • Hexadecimal Number System Table
  • Hexadecimal Numbers Conversions
  • Place Value of Digits in Hexadecimal Number System
  • Solved Examples
  • Practice Questions on Hexadecimal Number System

Similar Reads

What is Number System?

Number System is a method of representing Numbers and there are various types of the number systems in mathematics that are defined as,...

What is Hexadecimal Number System?

Hexadecimal is a number system combining “hexa” for 6 and “deci” for 10. It uses 16 digits: 0 to 9 and A to F, where A stands for 10, B for 11, and so on. Similar to the regular decimal system, it counts up to F instead of stopping at 9. Each digit in hexadecimal has a weight 16 times greater than the previous one, following a positional number system....

Hexadecimal Number System Table

Following table represents the relationship between hexadecimal number system with decimal as well as binary number system....

Hexadecimal Numbers Conversions

The hexadecimal number can be easily converted to various other numbers such as, Binary Numbers, Octal Numbers, Decimal Numbers and vice-versa. Now let’s learn about them in detail....

Place Value of Digits in Hexadecimal Number System

The numbers in the hexadecimal number system has weightage in powers of 16. The power of 16 increases as the digit is shift towards the left of the number. This is explained by the example as,...

Solved Examples on Hexadecimal Number System

Example 1: Convert Hexadecimal 1A5 to Decimal...

Practice Questions on Hexadecimal Number System

Problem 1: Convert the hexadecimal number 2A to binary....

Hexadecimal Number System – FAQs

What is a Hexadecimal Number System?...