Hexadecimal to Decimal Converter

Hexadecimal Value

Decimal Result

Quick Convert:

How to Convert Hexadecimal to Decimal

Hexadecimal (base-16) uses 16 symbols: 0-9 and A-F, where A=10, B=11, C=12, D=13, E=14, and F=15. Converting from hex to decimal requires multiplying each digit by its corresponding power of 16.

Conversion Steps

Write down the hexadecimal number from right to left
Assign each position a power of 16, starting with 16⁰ on the right
Convert each hex digit to its decimal equivalent (A=10, B=11, etc.)
Multiply each decimal value by its corresponding power of 16
Add all the results together to get the final decimal number

Conversion Examples

Example 1: Convert 2F to Decimal

2F₁₆ = (2 × 16¹) + (F × 16⁰) = (2 × 16) + (15 × 1) = 32 + 15 = 47₁₀

Example 2: Convert 1A3 to Decimal

1A3₁₆ = (1 × 16²) + (A × 16¹) + (3 × 16⁰) = (1 × 256) + (10 × 16) + (3 × 1) = 256 + 160 + 3 = 419₁₀

Example 3: Convert CAFE to Decimal

CAFE₁₆ = (C × 16³) + (A × 16²) + (F × 16¹) + (E × 16⁰) = (12 × 4096) + (10 × 256) + (15 × 16) + (14 × 1) = 49152 + 2560 + 240 + 14 = 51966₁₀

Hexadecimal to Decimal Conversion Table

Use this quick reference table to convert common hexadecimal values to decimal numbers.

Hex	Decimal	Hex	Decimal	Hex	Decimal

About Hexadecimal System

What is Hexadecimal?

Hexadecimal is a base-16 number system that uses 16 distinct symbols. It combines the digits 0-9 with the letters A-F to represent values from 0 to 15.

Why Use Hexadecimal?

Hexadecimal provides a more compact way to represent binary data. Each hex digit represents exactly four binary digits (bits), making it easier to read and write than binary.

Common Applications

Hex is widely used in computer programming, especially for color codes in web design, memory addresses, MAC addresses, and representing large binary numbers concisely.

Hex in Web Development

Colors on websites use six-digit hex codes. For example, #FF0000 represents red, where FF is the maximum value (255 in decimal) for the red channel.

Hexadecimal Digit Values

0=0, 1=1, 2=2, 3=3, 4=4, 5=5, 6=6, 7=7, 8=8, 9=9, A=10, B=11, C=12, D=13, E=14, F=15

Remember: Letters A through F represent decimal values 10 through 15. This allows hexadecimal to express higher values with a single character.

Popular Hex to Decimal Conversions

Here are some frequently converted hexadecimal values and their decimal equivalents:

FF → 255
Maximum value for an 8-bit byte

100 → 256
Start of three-digit hex numbers

FFF → 4095
Maximum 12-bit value

FFFF → 65535
Maximum 16-bit value

FFFFFF → 16777215
Maximum 24-bit RGB color value

1000 → 4096
Common memory page size

Related Number System Conversions

Hexadecimal is just one of several number systems used in computing. Here are related conversions you might need:

Decimal to Hexadecimal: Convert standard base-10 numbers to hex representation
Binary to Hexadecimal: Transform binary (base-2) numbers into more readable hex format
Hexadecimal to Binary: Expand hex digits into their 4-bit binary equivalents
Octal to Decimal: Convert base-8 octal numbers to standard decimal
Decimal to Binary: Represent decimal numbers in binary format

Frequently Asked Questions

What is the maximum hex value I can convert?

This converter supports hex values up to 16 characters (FFFFFFFFFFFFFFFF), which equals 18,446,744,073,709,551,615 in decimal. This represents the maximum value for a 64-bit unsigned integer.

Do I need to add “0x” prefix before hex numbers?

No prefix is required. Simply enter the hex digits directly (e.g., “1A2F” instead of “0x1A2F”). The converter automatically recognizes and processes valid hexadecimal characters (0-9 and A-F).

Are lowercase letters accepted in hex values?

Yes, both uppercase and lowercase letters work. You can enter “abc” or “ABC” and get the same result. The converter treats them identically.

Why is hexadecimal used in programming?

Hexadecimal provides a compact representation of binary data. Since each hex digit corresponds to exactly 4 bits, it’s much easier to read and write than long strings of 0s and 1s. This makes it ideal for representing memory addresses, color codes, and byte values.

How do I convert negative hex values?

Negative numbers in hexadecimal typically use two’s complement representation. This converter handles unsigned positive integers. For signed values, you’ll need to interpret the result based on your specific use case (8-bit, 16-bit, 32-bit, etc.).

Can I convert hex values with decimal points?

This converter is designed for integer values. Hexadecimal fractions (like 0.8 in hex = 0.5 in decimal) require special handling with negative powers of 16 and are not supported by this version.

What’s the difference between hex and decimal?

Decimal (base-10) uses ten digits (0-9) and is the standard number system for everyday counting. Hexadecimal (base-16) uses sixteen symbols (0-9, A-F) and is primarily used in computing for its efficient binary representation.

How accurate is this converter?

The converter uses JavaScript’s built-in parseInt function with base 16, which provides exact conversions for all valid hexadecimal inputs up to the maximum supported length. Results are mathematically precise with no rounding errors for integers.

Practical Applications of Hex to Decimal Conversion

Web Color Codes

HTML and CSS use hexadecimal color codes. Each color consists of three pairs of hex digits representing Red, Green, and Blue values (0-255 in decimal).

Example: #FF5733
Red: FF (255), Green: 57 (87), Blue: 33 (51)

Memory Addresses

Computer memory addresses are typically displayed in hexadecimal format. Converting these to decimal helps calculate memory offsets and understand data storage locations.

MAC Addresses

Network interface MAC addresses use six pairs of hexadecimal digits. Converting these values to decimal can help with network calculations and address range analysis.

Unicode Characters

Unicode characters are often referenced by their hexadecimal code points. Converting to decimal helps with character encoding and programming tasks.