conversion
Decimal to Hexadecimal Converter
Convert decimal numbers to hex. Shows each division step with remainders mapped to hex digits 0-F.
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Try an Example
Pick a scenario to see how the calculator works, then adjust the values
ASCII Letter A
Convert the ASCII code for uppercase A (65) across all bases.
Key values: Decimal 65 · Binary 1000001 · Hex 41
Byte Maximum
The largest value a single byte can hold (255).
Key values: Decimal 255 · Binary 11111111 · Hex FF
Hex Color Code
Convert a common hex color code (deep sky blue) to other bases.
Key values: Hex 00BFFF · Decimal 49151 · Binary nibbles
The Division Method
Repeatedly divide the decimal number by 16 and record the remainders. Convert remainders 10–15 to letters A–F. Read the remainders bottom to top:
Reading bottom-to-top: .
Converting Larger Numbers
Convert to hex:
Result: .
The Binary Shortcut
If you already know the binary representation, group the bits into sets of 4 from right to left and convert each group to a hex digit:
This works because — each hex digit corresponds to exactly 4 binary digits (one nibble). This is why hex is the standard shorthand for binary in programming.
Hex in Memory Addresses
Memory addresses are displayed in hex because they are inherently binary values, and hex provides a compact, readable form:
- 32-bit address
0xFFFFFFFF= 4,294,967,295 — much shorter than the binary form (32 digits) - 64-bit address
0x00007FFE12345678— 16 hex digits vs 64 binary digits - Memory alignment is visible: addresses ending in
0or00are naturally aligned to 16-byte or 256-byte boundaries
Frequently Asked Questions
How do you convert decimal to hexadecimal?
Repeatedly divide by 16 and record the remainders. Convert remainders 10–15 to letters A–F. Read the remainders bottom to top. For example, R 15(F), R 10(A), R 2, giving 2AF.
Is there a shortcut for decimal-to-hex conversion?
Yes. If you know the binary representation, group the bits into sets of 4 from right to left and convert each group to one hex digit. This works because , so each hex digit corresponds to exactly 4 bits (one nibble).
Why is hexadecimal used for memory addresses?
Memory addresses are binary values, and hex provides a compact, readable form. A 32-bit address like 0xFFFFFFFF is just 8 characters versus 32 binary digits. Alignment is also visible: addresses ending in 0 or 00 are naturally aligned.
How do I convert RGB color values to hex?
Convert each RGB channel (0–255) to a two-digit hex value and concatenate them. For example, RGB(255, 87, 51) becomes FF (255), 57 (87), 33 (51), giving the hex color #FF5733.
What is a nibble and why is it important for hex conversion?
A nibble is a group of 4 binary digits (bits), representing values 0–15. Since , one hex digit maps to exactly one nibble. Two nibbles make one byte (8 bits). This 4-bit alignment is why hex is the standard shorthand for binary in computing.
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