Hex to Decimal Converter
Convert hexadecimal to decimal and decimal to hexadecimal instantly. Also displays the binary equivalent. Supports 0x prefix input.
Accepts values with or without the 0x prefix
About Hex to Decimal Converter
This Hex to Decimal Converter provides instant bidirectional conversion between hexadecimal (base-16) and decimal (base-10) numbers. It also shows the binary (base-2) equivalent for every conversion, making it a versatile tool for developers and students.
Flexible Input
Enter a hexadecimal value with or without the 0x prefix, or type a decimal number, and see the converted values update as you type. The tool validates input in real time, accepting only valid hex characters (0-9, A-F) or decimal digits depending on the active mode.
Binary Display
Every conversion also shows the binary representation. Since each hex digit maps to exactly four bits, hexadecimal is often used as a shorthand for binary in programming contexts. Seeing all three bases side by side helps you build intuition for how numbers translate across systems.
Formula and Method
The conversion formulas are displayed alongside your results. For hex to decimal, each digit is multiplied by 16 raised to the power of its position. For decimal to hex, the tool uses repeated division by 16. Understanding these methods is fundamental to computer science and digital electronics.
Practical Applications
Web developers work with hex color codes daily. Systems programmers read memory addresses and byte values in hex. Network engineers encounter hex in MAC addresses and protocol headers. Students in computer science courses use hex-to-decimal conversion as a building block for understanding how computers process data.
Client-Side Processing
All conversions happen entirely in your browser with no server requests. The tool works offline and keeps your data private.
Frequently Asked Questions
How do you convert hexadecimal to decimal?
Each hex digit represents a power of 16 based on its position from right to left. Multiply each digit by its positional power of 16 and add the results. For example, hex 1A3 equals (1 x 256) + (10 x 16) + (3 x 1) = 419 in decimal. Letters A through F represent values 10 through 15.
How do you convert decimal to hexadecimal?
Repeatedly divide the decimal number by 16 and record the remainder at each step. Remainders of 10 through 15 are written as A through F. Read the remainders from bottom to top to form the hex string. For example, 255 in hex is FF.
Does the tool accept the 0x prefix?
Yes. You can enter hex values with or without the 0x prefix. The tool automatically strips the prefix before converting, so both "FF" and "0xFF" produce the same result.
What is the relationship between hexadecimal and binary?
Each hexadecimal digit maps to exactly four binary digits (bits). For example, hex F equals binary 1111 and hex A equals binary 1010. This one-to-four mapping makes hex a compact way to represent binary data, which is why it is widely used in programming and digital systems.
What are common uses of hexadecimal numbers?
Hexadecimal is used extensively in programming for memory addresses, color codes (like