Decimal to Hexadecimal

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: 0–9 and A–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

→ 254 ÷ 16 = 15 remainder 14 → E

→ 15 ÷ 16 = 0 remainder 15 → F

→ 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.

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 → FF.

Apply in Projects:

Use for coding, electronics, or data representation.

Formula:

Divide decimal by 16 repeatedly. Convert remainders to hex (10–15 = A–F).

Example 1: Decimal: 100

→ 100 ÷ 16 = 6 remainder 4

→ 6 ÷ 16 = 0 remainder 6

→ Hex = 64

Example 2: Decimal: 255

→ 255 ÷ 16 = 15 remainder 15 → F

→ 15 ÷ 16 = 0 remainder 15 → F

→ Hex = FF



Example 3 (with fraction): Decimal: 10.5

→ Integer part: 10 = A

→ Fraction:

0.5 × 16 = 8 → take 8

→ Hex = A.8

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