Decimal To Hexadecimal
Decimal to Hexadecimal Converter. Enter any whole number to get the hex equivalent with step-by-step division by 16 showing remainders and hex digits.
About This Calculator
The Decimal to Hexadecimal Converter converts any whole decimal number (base 10) to its hexadecimal equivalent (base 16). Hexadecimal uses digits 0-9 and letters A-F, making it a compact representation of binary data used extensively in computing, web development, digital electronics, and networking. This tool is designed for students learning number systems, programmers working with low-level code, and hobbyists exploring digital electronics.
To convert a decimal number to hexadecimal, repeatedly divide the number by 16 and record each remainder. Remainders with values 10 through 15 are represented as the letters A through F respectively. Read the remainders from bottom to top — the last remainder becomes the most significant digit (leftmost), and the first remainder becomes the least significant digit (rightmost). For example, decimal 255 divided by 16 gives quotient 15 with remainder 15 (F). Dividing 15 by 16 gives quotient 0 with remainder 15 (F). Reading from bottom to top gives FF, the hexadecimal equivalent of 255.
In addition to the hex result, this calculator also shows the binary and octal equivalents of your input number, giving you a complete picture of how the same value is represented across the four most commonly used number bases in computing. The step-by-step breakdown table shows each division step, the quotient, the remainder, and the corresponding hex digit, making it easy to follow the conversion algorithm.
Regional Notes
Hexadecimal is a universal number system used globally in computer science, web development (HTML/CSS color codes), assembly language programming, network addressing (MAC addresses), and digital electronics. As a purely mathematical construct, it works identically across all regions and languages.
Frequently Asked Questions
How do I convert decimal to hexadecimal?
Divide the decimal number by 16 repeatedly, recording remainders. Remainders 10-15 become A-F. Read the remainders from bottom to top to get the hex equivalent.
What is 255 in hexadecimal?
255 in decimal equals FF in hexadecimal.
Is this decimal to hex converter free?
Yes, it is completely free to use with no registration or hidden charges.
What is hexadecimal used for?
Hexadecimal is used in computing for memory addresses, color codes (HTML/CSS), MAC addresses, assembly language, and networking protocols.
What digits does hexadecimal use?
Hexadecimal (base 16) uses digits 0-9 and letters A-F, where A=10, B=11, C=12, D=13, E=14, and F=15.
How do I convert a decimal number larger than 255 to hex?
The process is the same regardless of size. Divide by 16 repeatedly until the quotient reaches 0, recording each remainder. For example, 4096 (16 cubed) becomes 1000 in hex. Larger numbers simply produce more hex digits.
What is the difference between decimal and hexadecimal?
Decimal (base 10) uses ten digits 0-9, while hexadecimal (base 16) uses sixteen digits: 0-9 plus A-F representing values 10-15. A value like 255 is written as 255 in decimal but as FF in hex, requiring fewer digits for the same quantity.
Why do programmers use hexadecimal instead of decimal?
Hexadecimal maps perfectly to binary because each hex digit represents exactly 4 bits, known as a nibble. This makes hex ideal for representing memory addresses, color values, machine code, and byte-level data efficiently.