convert decimal to hexadecimal calculator

What this decimal to hexadecimal calculator does

This tool converts a base-10 (decimal) integer into base-16 (hexadecimal) format instantly. It is useful for programming, networking, embedded systems, color codes, memory addresses, and any workflow where hex notation is easier to read than long decimal values.

Enter any whole number, click Convert, and you will get the hexadecimal value right away. You can also see the same number in binary and octal, plus a step-by-step division breakdown to help you understand the math.

How to use the calculator

• Type a decimal integer (for example: 10, 4096, or -255).
• Choose formatting options:
  • Uppercase letters for A-F (e.g., FF).
  • 0x prefix for code-style output (e.g., 0xFF).
• Click Convert (or press Enter).
• Read the hex result and optional conversion details below it.

Decimal vs hexadecimal: quick explanation

Decimal uses 10 symbols: 0 through 9. Hexadecimal uses 16 symbols: 0 through 9, then A through F. In hex, each position represents a power of 16 instead of a power of 10.

For example, in hex:

• 1A means 1×16 + 10 = 26 (decimal)
• FF means 15×16 + 15 = 255 (decimal)
• 100 means 1×256 + 0×16 + 0 = 256 (decimal)

Hex digit reference table (0 to 15)

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

Manual conversion method (division by 16)

If you want to convert decimal to hex by hand, divide the number by 16 repeatedly and track remainders:

1. Divide the decimal number by 16.
2. Write down the remainder (0 to 15).
3. Convert remainder values 10-15 to A-F.
4. Continue dividing the quotient by 16 until the quotient is 0.
5. Read remainders from bottom to top.

Example: 255 to hex

• 255 ÷ 16 = 15 remainder 15 (F)
• 15 ÷ 16 = 0 remainder 15 (F)
• Read bottom to top: FF

Example: 4095 to hex

• 4095 ÷ 16 = 255 remainder 15 (F)
• 255 ÷ 16 = 15 remainder 15 (F)
• 15 ÷ 16 = 0 remainder 15 (F)
• Result: FFF

Why programmers use hexadecimal

Hex is compact and maps cleanly to binary. One hex digit equals exactly four binary bits, so large binary values become much easier to read.

• Memory addresses: commonly displayed in hex.
• Color values: web colors like #FF6600.
• Machine-level debugging: byte and word values are often shown in hex.
• Bit masks: easier to manage in hex than long binary strings.

Common conversion mistakes

• Forgetting that A-F represent 10-15.
• Reading remainders in the wrong direction.
• Mixing decimal digits with hex notation incorrectly.
• Assuming this converter handles decimal fractions by default.

FAQ

Does this calculator support negative numbers?

Yes. A negative decimal result is shown with a leading minus sign (for example, -42 becomes -2A in uppercase mode).

Can I convert very large integers?

Yes. The calculator uses JavaScript BigInt, so it can convert integers larger than standard 64-bit limits as long as your browser supports BigInt (modern browsers do).

What if I need decimal fractions converted to hex?

Fractional conversion is a separate process (repeated multiplication of the fractional part). This page focuses on whole-number conversion for speed and clarity.

Final thoughts

A reliable decimal to hexadecimal calculator saves time and reduces mistakes in technical work. Use the live converter above for quick results, then review the step-by-step section whenever you want to reinforce the underlying logic.