Mr Calcu | Decimal to Hexadecimal Number Converter

Convert decimal numbers to hexadecimal instantly. A fast, easy, and accurate tool for programmers, engineers, and students.

Decimal to Hex Converter

Decimal to Hex Converter Guidelines

  • Enter a valid decimal number (0 or greater).
  • Click the "Convert" button to obtain the hexadecimal equivalent.
  • The tool displays a step-by-step breakdown of the conversion.
  • Works for small and large numbers up to 64-bit values.
  • Useful for programmers, web designers, and digital engineers.

Decimal to Hex Converter Description

The decimal and hexadecimal number systems are widely used in computing and electronics. While the decimal system (base-10) is familiar to most people, the hexadecimal system (base-16) is extensively used in digital applications, including color coding, memory addressing, and data representation.

How Decimal to Hex Conversion Works

A hexadecimal number consists of sixteen unique symbols: 0-9 and A-F, where A=10, B=11, ..., F=15. To convert a decimal number to hex:

  • Divide the decimal number by 16.
  • Write down the remainder.
  • Repeat the process with the quotient until it becomes zero.
  • The hexadecimal result is obtained by reading the remainders in reverse order.

Example Conversion

Convert 255 to hexadecimal:

  • 255 ÷ 16 = 15 remainder 15 → F
  • 15 ÷ 16 = 0 remainder 15 → F
  • Hexadecimal equivalent of 255 is FF.

Applications of Hexadecimal System

  • Programming: Memory addresses in low-level programming use hex notation.
  • Web Development: CSS color codes like #FF5733 are in hex format.
  • Digital Electronics: Data representation in microcontrollers and circuits.

Try the Converter Now

Use the calculator below to quickly convert decimal numbers to hexadecimal format. Simply enter a number, click "Convert," and get the result instantly.

Example Calculation

Decimal Number Division by 16 Remainder Hex Equivalent
75 75 ÷ 16 = 4 11 (B) 4B
300 300 ÷ 16 = 18 12 (C) 12C
1024 1024 ÷ 16 = 64 0 400

Frequently Asked Questions

A hexadecimal number is a base-16 number system that uses digits 0-9 and letters A-F, where A represents 10 and F represents 15.

Divide the decimal number by 16, record the remainder, and continue dividing until the quotient is 0. The hex value is the remainders read in reverse order.

Hex is used in computing, programming, web development (CSS color codes), and memory addressing.

This tool supports conversions up to 64-bit decimal numbers, which can be converted into 16-character hex values.

No, this tool is specifically for decimal to hexadecimal conversion. Use our Hex to Decimal Converter for the reverse operation.

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