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Decimal to Hexadecimal

Decimal to Hexadecimal Converter

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Decimal to Hexadecimal Overview

A Decimal to Hexadecimal Converter is a tool designed to convert numbers from the decimal system (base-10) to the hexadecimal system (base-16). The decimal system is what we use in everyday life, consisting of digits from 0 to 9. Hexadecimal, on the other hand, uses 16 symbols: 0โ€“9 and Aโ€“F, where A=10, B=11, ..., F=15.


This conversion is essential in programming, digital electronics, and computing systems, where hexadecimal representation simplifies binary data for readability and debugging.


Conversion Principle:


To convert decimal to hexadecimal:

  • Divide the decimal number by 16.
  • Record the remainder.
  • Repeat division for the quotient until it becomes zero.
  • Read remainders in reverse order to get the hexadecimal value.


Example:


Decimal: 254

โ†’ 254 รท 16 = 15 remainder 14 โ†’ E

โ†’ 15 รท 16 = 0 remainder 15 โ†’ F

โ†’ Hexadecimal = FE


Common Uses for Decimal to Hexadecimal Conversion:


  • Programming: Memory addresses, color codes, and data encoding are often represented in hexadecimal.
  • Web Design: Color codes use hex values like #FF5733.
  • System Development: Hex simplifies binary representation in embedded systems and debugging.
  • Networking: Hex is used in IP addressing and protocol headers.
  • Cryptography: Hexadecimal is used to represent large encryption keys and hash values.


Key Features of Decimal to Hexadecimal Converter:


  • Accurate Conversion: Uses reliable base-16 conversion logic.
  • Fraction Support: Converts both integer and fractional parts of decimal numbers.
  • Real-Time Output: Displays results instantly as you type.
  • Supports Large Inputs: Handles numbers with multiple digits.
  • Beginner Friendly: Clear layout for users of all levels.
  • Copy-Friendly Results: Output ready for direct use in programming and documentation.


This converter simplifies transforming base-10 values into a more compact and readable hexadecimal format.



How It Works

Enter the Decimal Number:

Example: 255, 64, or 100.5.


Get Instant Output:

The tool calculates the equivalent hexadecimal value immediately.


Read the Hex Result:

For instance, 255 โ†’ FF.


Apply in Projects:

Use for coding, electronics, or data representation.

Examples

Formula:

Divide decimal by 16 repeatedly. Convert remainders to hex (10โ€“15 = Aโ€“F).


Example 1: Decimal: 100

โ†’ 100 รท 16 = 6 remainder 4

โ†’ 6 รท 16 = 0 remainder 6

โ†’ Hex = 64


Example 2: Decimal: 255

โ†’ 255 รท 16 = 15 remainder 15 โ†’ F

โ†’ 15 รท 16 = 0 remainder 15 โ†’ F

โ†’ Hex = FF

๏ปฟ

Example 3 (with fraction): Decimal: 10.5

โ†’ Integer part: 10 = A

โ†’ Fraction:

0.5 ร— 16 = 8 โ†’ take 8

โ†’ Hex = A.8



Reference Tables

Decimal

Hexadecimal

10

A

11

B

12

C

13

D

14

E

15

F

16

10

31

1F

64

40

100

64

255

FF

4095

FFF


Steps to Convert Decimal to Hexadecimal:


For Integer Part:

  1. Divide the decimal number by 16.
  2. Record the remainder.
  3. Divide the quotient again by 16.
  4. Repeat until the quotient becomes 0.
  5. Read the remainders in reverse order.


For Fractional Part:

  1. Multiply the fraction by 16.
  2. Take the integer part of the result as the hex digit.
  3. Repeat with the new fractional part.


Formula:

Hex = Integer Part Conversion + Fractional Conversion

Additional Information

    A Unique Explanation for the Decimal to Hexadecimal Converter:


    The hexadecimal system is ideal for compactly representing binary data. Each hex digit maps to exactly four binary digits, making it essential in low-level programming and system architecture.


    Example:

    Decimal 255 โ†’ Binary: 11111111

    โ†’ Grouped: 1111 = F, 1111 = F

    โ†’ Hex = FF


    Hex values are easy to read, understand, and implement in hardware and software environments.


    Decimal to Hexadecimal Conversion Table


    Decimal

    Hex

    1

    1

    10

    A

    15

    F

    16

    10

    31

    1F

    64

    40

    100

    64

    128

    80

    255

    FF

    512

    200


    FAQs


    1. How do I convert decimal to hexadecimal?

    Divide the decimal number by 16 and collect the remainders in reverse order.


    2. Why is hexadecimal used in programming?

    Hexadecimal is compact and easily maps to binary, making it perfect for representing memory addresses, color codes, and data in programming.


    3. Can decimal fractions be converted to hexadecimal?

    Yes, multiply the fractional part by 16 repeatedly to get the fractional hex digits.


    4. What is the hexadecimal of 255?

    255 รท 16 = 15 R 15 โ†’ F and F โ†’ Hex = FF

    ๏ปฟ

    5. Where is decimal to hex conversion used?

    In software development, digital electronics, cryptography, and web design (e.g., color codes like #FFFFFF).