Denary to Hexadecimal Calculator
Instantly convert denary (base 10) numbers to hexadecimal (base 16). View binary and octal equivalents, and see the step-by-step division process.
Denary to Hexadecimal
Convert decimal numbers to base 16 instantly
Enter a positive or negative whole number (supports arbitrarily large integers)
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Base 10 to Base 16 conversion
Enter a denary number and click Convert to see the hexadecimal, binary, and octal equivalents.
Number Conversion FAQ
Everything you need to know about converting denary numbers to hexadecimal and understanding base systems.
A denary to hexadecimal calculator is a tool that converts numbers from the denary (base 10) system, which is the standard system for denoting integers, to the hexadecimal (base 16) system, which is widely used in computing and digital systems. It provides the equivalent hex value, and often binary and octal equivalents as well.
To convert a denary number to hexadecimal manually, repeatedly divide the number by 16. Write down the remainder for each division (where 10=A, 11=B, 12=C, 13=D, 14=E, 15=F). Continue dividing the quotient by 16 until the quotient is 0. The hexadecimal number is the sequence of remainders read from bottom to top (last remainder to first).
The hexadecimal system is a base-16 number system. It uses 16 distinct symbols: the numbers 0-9 represent values zero to nine, and the letters A-F represent values ten to fifteen. It is heavily used in computing because a single hexadecimal digit can represent four binary digits (bits), making binary code much easier for humans to read.
Hexadecimal is used in computing because it provides a highly compact and human-readable way to represent binary data. Since 16 is a power of 2 (2^4 = 16), each hex digit maps exactly to four binary bits. This makes it much easier to read memory addresses, color codes (like #FFFFFF for white), and machine-level code compared to long strings of 0s and 1s.
To convert hexadecimal to denary, multiply each hex digit by 16 raised to the power of its position (starting from 0 on the right) and sum the results. For example, to convert ‘1A’ to denary: (1 × 16^1) + (10 × 16^0) = 16 + 10 = 26.
Hexadecimal uses 16 symbols: the digits 0-9 represent values zero to nine, and the letters A-F represent values ten to fifteen. Specifically, A=10, B=11, C=12, D=13, E=14, and F=15.