# Hexa-decimal Number System

The hexa-decimal number system has a radix or base 16. It requires 16 symbols to represent a number in this system. The symbols are 0 to 9, A, B, C, D, E, F where the symbols A, B, C, D, E, F represent the decimal numbers 10, 11, 12, 13, 14, 15 respectively. Let us recall the conversion table for the decimal numbers 0 to 15 and their binary, octal and hexa-decimal equivalents.

The conversion of hexa-decimal numbers to their decimal equivalents is straight-forward and follows the same rules as that of octal or binary to decimal. Similarly, conversion of decimal to hexa-decimal may be worked out with the help of division or multiplication, as the case may be, by the radix 16.

The example on hexa-decimal number system will help us to understand the procedure:

1. Convert B6A16 to its decimal equivalent.

Solution:

B6A16

= 11 × 162 + 6 × 161 + 10 × 160

= 2816 + 96 + 10

= 292210

Therefore, B6A16 = 292210

2. Convert 391710 to its hexa-decimal equivalent

Solution:

391710

Therefore, 391710 = F4D16

• Why Binary Numbers are Used
• Binary to Decimal Conversion
• Conversion of Numbers
• Hexa-decimal Number System
• Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
• Octal and Hexa-Decimal Numbers
• Signed-magnitude Representation
• Radix Complement
• Diminished Radix Complement
• Arithmetic Operations of Binary Numbers

From Hexa-decimal Number System to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

### New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.
 Share this page: What’s this?

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:01 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

Read More

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

Read More

3. ### 6th Grade Math Practice | Table of Contents | Worksheets |Videos |Math

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

Read More

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…

Read More

5. ### Solution of an Equation | Trial and Error Method |Transposition Method

Aug 06, 24 02:12 AM

A solution of an equation is a value of the unknown variable that satisfy the equation. A number, which when substituted for the variable in an equation makes its L.H.S equal to the R.H.S, is said to…

Read More