Solved Examples on Hexadecimal Number System
Example 1: Convert Hexadecimal 1A5 to Decimal
Solution:
Multiply First Digit (1) by 16 squared (256)
1×162 = 256
Multiply Second Digit (A, which is 10 in decimal) by 16 to the power of 1 (16)
10×161 = 160
Multiply Third Digit (5) by 16 to the power of 0 (1)
5×160 = 5
Adding the results,
1A5 = 1×162 + A×161 + 5×160
⇒ 1A5 = 1×162 + 10×161 + 5×160
⇒ 1A5 = 256 + 160 + 5 = 421
Decimal Equivalent of Hexadecimal number 1A5 is 421
Example 2: Convert Decimal 315 to Hexadecimal.
Solution:
Divide Decimal Number by 16
315÷16 = 19 with Remainder 11
The remainder (11) is represented as B in hexadecimal
Repeat the division with the quotient (19)
19÷16 = 1 with Remainder of 3
The remainder (3) is represented as 3 in hexadecimal
Hexadecimal Equivalent of Decimal Number 315 is 13B
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