Decimal to Hexadecimal Converter

Convert decimal integers to hexadecimal, binary, and octal notation with instant, exact results.

Convert decimal to hexadecimal
Enter a non-negative decimal integer to view its base-16 representation and related number systems.

About decimal to hexadecimal conversion

A decimal to hexadecimal converter rewrites a base-10 integer in base 16 without changing its numerical value. Decimal uses the ten digits from 0 through 9. Hexadecimal uses those digits plus the letters A through F, which represent decimal values 10 through 15. For example, decimal 255 becomes FF because the first F represents fifteen groups of sixteen and the second F represents fifteen units. Manual conversion commonly uses repeated division by 16. Divide the decimal number by 16, record the remainder, and continue dividing each whole-number quotient until the quotient reaches zero. Read the remainders from last to first, replacing remainders 10 through 15 with A through F. Decimal 42 produces a quotient of 2 and a remainder of 10, so its hexadecimal form is 2A. This calculator applies the same positional-number rule instantly. Hexadecimal is widely used in computing because one hexadecimal digit maps exactly to four binary bits. That compact relationship makes long binary patterns easier to read. Software developers encounter hexadecimal in memory addresses, byte values, Unicode code points, debugging output, and web colors. A byte ranging from decimal 0 through 255 can be shown with two hexadecimal digits from 00 through FF. The accompanying binary and octal outputs make it easier to compare common bases. The input must be a non-negative whole number within JavaScript's safe integer range so that every displayed digit remains exact. Leading zeros do not alter the value and are omitted from the normalized output. The converter uses uppercase letters for A through F, although lowercase hexadecimal letters represent the same values. Decimal zero converts to hexadecimal zero rather than an empty string. To verify an answer, expand each hexadecimal digit by its place value. Starting at the right, positions represent powers of 16: units, sixteens, 256s, and so on. For 2A, multiply 2 by 16 and add 10 to obtain decimal 42. This place-value check is valuable in programming lessons and when reviewing identifiers, register values, or encoded data. The result is a notation conversion only; it does not round, estimate, or alter the underlying integer. Use this tool whenever a decimal value needs to be entered into software documentation, compared with a binary mask, or expressed in compact base-16 form. The parallel output provides quick context across three common non-decimal systems while keeping the original conversion clear.

Decimal to hexadecimal examples

Common computing values illustrate how decimal integers appear in base 16.

DecimalHexadecimalContext
255FFMaximum unsigned byte value
1024400Power-of-two value
40961000Larger power of 16
422ASimple two-digit example

How to convert decimal to hexadecimal

  1. Enter a non-negative decimal whole number.
  2. Select Convert to calculate the base-16 representation.
  3. Read the hexadecimal result and compare the binary and octal equivalents.
  4. Use Reset to clear the current number.

Frequently asked questions

What digits does hexadecimal use?

Hexadecimal uses 0 through 9 and A through F. The letters represent decimal values 10 through 15.

Why is hexadecimal useful in computing?

Each hexadecimal digit corresponds to exactly four binary bits. It provides a compact, readable way to display bytes, addresses, and bit patterns.

How do I convert hexadecimal back to decimal?

Multiply each digit by the corresponding power of 16 and add the products. Positions are counted from zero at the rightmost digit.

Are lowercase hexadecimal letters valid?

Yes, lowercase a through f have the same numerical values as uppercase A through F. This converter displays uppercase letters for consistency.

Can hexadecimal represent zero?

Yes, decimal zero is hexadecimal 0. It is a valid value in every positional number system.