Hex Converter - Free Hexadecimal to Decimal & Binary Calculator

0xFF Math Calculator

Hex Converter

Convert hexadecimal to decimal, binary, octal, and color codes instantly — all conversions update live with full step-by-step solutions.

Hex (base 16) ↔ Decimal (base 10)

Hexadecimal Value

Decimal Value

HEXADECIMAL—

DECIMAL—

BINARY—

OCTAL—

Hex (base 16) ↔ Binary (base 2) — each hex digit = 4 bits

Hexadecimal Value

Binary Value

HEXADECIMAL—

BINARY—

DECIMAL—

OCTAL—

Hex (base 16) ↔ Octal (base 8) — both convert via decimal

Hexadecimal Value

Octal Value

HEXADECIMAL—

OCTAL—

DECIMAL—

BINARY—

Hex color code (#RRGGBB) ↔ RGB values (0-255 each)

Hex Color Code

Enter a hex color above

RED (R)—

GREEN (G)—

BLUE (B)—

RGB FORMAT—

f Formulas Used

Hex to DecimalSum of (digit × 16^position)

Decimal to HexRepeatedly divide by 16, read remainders in reverse

Hex to BinaryEach hex digit → exactly 4 binary bits

Hex Color#RRGGBB → R,G,B each 0-255 (00-FF)

? How To Use

1

Hex ↔ Decimal — enter a value in either field; the other updates automatically with binary and octal too.

2

Hex ↔ Binary — convert directly between hex and binary, useful for low-level programming and bit manipulation.

3

Hex ↔ Octal — convert between base 16 and base 8 number systems.

4

Hex Color (RGB) — enter a hex color code (e.g. #3B82F6) to see the live color swatch and RGB values.

5

Tap Steps to see the full conversion working explained digit by digit.

★ Key Features

0x

4 Hex Conversions

Decimal, binary, octal, and RGB color — all from hex.



Live Color Preview

See hex colors rendered instantly as a visual swatch.



Step-by-Step Working

Full digit-by-digit conversion explanation for every result.



Mobile Optimized

Monospace inputs and clear results — perfect for any device.

✎ Real-World Example

❓ A web designer sees the color code #FF5733. What are the RGB values?

Split into pairs: FF, 57, 33
FF = 15×16 + 15 = 255
57 = 5×16 + 7 = 87
33 = 3×16 + 3 = 51

✓ #FF5733 = rgb(255, 87, 51) — a bright orange-red color.

Q Frequently Asked Questions

Multiply each hex digit by 16 raised to its position (from right, starting at 0), where A=10, B=11... F=15. For example, 1A = 1×16¹ + 10×16⁰ = 16+10 = 26.

Because 16 = 2⁴, every hex digit (0-F) can represent exactly 4 binary digits (0000-1111). This makes hex a compact way to write binary — one byte (8 bits) is exactly 2 hex digits, e.g. 11111111 = FF.

A hex color code #RRGGBB has 3 pairs of hex digits representing Red, Green, and Blue intensity from 00 (none) to FF (full, 255). For example #000000 is black, #FFFFFF is white, #FF0000 is pure red.

Hex is widely used in programming for memory addresses, color codes (CSS/design), error codes, MAC addresses, and Unicode characters. It's preferred over binary because it's much more compact while still mapping cleanly to binary (4 bits per digit).

Hex Converter - Convert Hexadecimal, Decimal, and Binary Instantly

Hexadecimal might look confusing the first time you see values like 3A, 7F, or #FF5733, but it's actually one of the most practical numbering systems used in computing. Instead of using only ten digits like the decimal system, hexadecimal works with sixteen symbols: the numbers 0-9 followed by the letters A-F. This allows large binary values to be written in a much shorter and easier-to-read format.

Whether you're a web designer working with CSS colors, a programmer reading memory addresses, or a student learning different number systems, this free Hex Converter helps you instantly convert between hexadecimal, decimal, and binary without performing lengthy manual calculations.

Understanding the Hexadecimal Number System

Every position in a hexadecimal number represents a power of 16, just as decimal numbers use powers of 10. After the digit 9, hexadecimal continues with letters:

Hex Converter — Digit Values

Hexadecimal uses 16 digits: 0–9 then A–F Each hex digit represents exactly 4 binary bits (a nibble)

Hex	Decimal	Binary
0	0	0000
5	5	0101
9	9	1001
A	10	1010
C	12	1100
F	15	1111

Each hexadecimal digit also represents exactly 4 binary bits. Because of this perfect relationship, programmers often convert directly between binary and hexadecimal without first converting to decimal. It keeps long binary values much shorter while preserving exactly the same information.

How to Use This Hex Converter

Using the calculator only takes a few seconds:

• Choose the conversion type you need, such as Hex to Decimal or Decimal to Hex.
• Enter your value into the input field.
• Click the Convert button to generate the result instantly.
• If available, open the Steps section to understand how the conversion was calculated.

The calculator is useful for beginners who want to learn hexadecimal as well as developers who simply need quick and accurate conversions during their work.

Example: Converting FF into Decimal

One of the most common hexadecimal values you'll encounter is FF. Since the letter F represents the decimal value 15, the calculation becomes:

(15 × 16) + 15 = 255

This is why the color code #FFFFFF represents pure white in web design—the red, green, and blue color channels are all set to their maximum value of 255.

Hex Converter — Examples

Decimal = Σ (digit × 16ⁿ) Each hex position is a power of 16, just like decimal uses powers of 10

Decimal	Hex	Binary
10	A	1010
16	10	10000
255	FF	11111111
100	64	1100100
4096	1000	1000000000000

Where You'll See Hexadecimal in Everyday Technology

Even if you've never studied programming, you've almost certainly used hexadecimal without realizing it. Every time you customize a website color, inspect browser developer tools, or work with certain hardware settings, hex values are quietly working behind the scenes.

One of the most familiar examples is web design. CSS colors are commonly written as six-digit hexadecimal values like #FF0000 for red or #00FF00 for green. Each pair of digits controls the intensity of the Red, Green, and Blue (RGB) color channels, allowing over 16 million possible color combinations.

Programmers also rely on hexadecimal because it's much shorter than binary while still representing the exact same information. Instead of reading long strings of 0s and 1s, developers can quickly recognize compact values like 0x3F or 0xFF, making debugging and memory analysis much easier.

The examples above show how decimal, hexadecimal, and binary relate to one another. Once you understand these patterns, converting between different number systems becomes much more intuitive.

Hexadecimal and Binary Work Together

Hexadecimal isn't a completely separate number system from binary—it was actually designed to make binary easier for humans to read. Since every hexadecimal digit represents exactly four binary bits, converting between the two is often as simple as replacing each hex digit with its four-bit binary equivalent.

For example:

• Hex A becomes Binary 1010
• Hex F becomes Binary 1111
• Hex 2C becomes Binary 0010 1100

If you're working primarily with binary calculations, our Binary Calculator can help perform conversions and arithmetic instantly before switching back to hexadecimal when needed.

Tips for Reading Hex Numbers

• Remember that letters A through F simply represent the values 10 through 15.
• Each position moving left represents another power of 16.
• Many programming languages display hexadecimal numbers with a prefix such as 0x.
• Large binary numbers become much easier to read after converting them into hexadecimal.
• Double-check whether a value represents a number, a color code, or a memory address, since hexadecimal appears in many different contexts.

Related Number System Tools

Hexadecimal is only one part of digital number systems. If you're learning how computers represent data, you may also find these tools useful:

The Binary Calculator lets you convert between binary and decimal while performing binary arithmetic. If you need to work with octal or other numbering systems, the Number Base Converter supports multiple bases in one place. Since hexadecimal positions are powers of 16, the Exponent Calculator is also helpful for understanding how place values are calculated.

Frequently Asked Questions

Why is hexadecimal easier than binary?

Binary numbers become very long as values increase. Hexadecimal groups every four binary bits into a single character, making numbers shorter, easier to read, and less prone to mistakes.

Where are hexadecimal color codes used?

Hex color codes are widely used in HTML, CSS, graphic design software, and many digital editing applications to represent RGB colors.

Can I convert large hexadecimal numbers?

Yes. This free Hex Converter supports both small and large values, allowing you to convert between hexadecimal, decimal, and binary in just a few seconds.

Is this Hex Converter completely free?

Yes. You can convert unlimited hexadecimal numbers online without creating an account, installing software, or paying any fees.

Explore more calculators: Binary Calculator | Number Base Converter | Exponent Calculator

Reviewed by Kromo Tools Team

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