🎓 Mathematics • Mathematical Conversions
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Hex Converter
Converts hexadecimal base-16 strings into decimal integers, binary bit sequences, octal, and ASCII.
Radix & Positional Engine
Number Base Conversion Studio
Perform positional conversions between Binary, Decimal, Hexadecimal, Octal, and arbitrary Base-N with step-by-step division tables and visual 4-bit nibbles.
Direction
Binary Representation
0x1A3F =
0001101000111111₂
4-Bit Nibble Mapping
1
Dec: 1
0001
A
Dec: 10
1010
3
Dec: 3
0011
F
Dec: 15
1111
What is Hexadecimal?
Hexadecimal is base-16 notation using digits 0–9 and letters A–F, representing 4 bits per character.
Formula & Step-by-Step Calculation
N = ∑ dᵢ × 16ⁱ
Powers of 16 expansion where A=10, B=11, C=12, D=13, E=14, F=15.
Worked Step-by-Step Examples
Example 1
Convert 1A to decimal
Solution: 26
• 1(16) + 10(1) = 16 + 10 = 26
Common Real-World & Academic Use Cases
- ✓ Web color hex codes (#RRGGBB)
- ✓ Memory dump debugging
- ✓ Cryptographic hash representations
How to Use the Hex Converter
1
Enter Hex
Input hex string.
2
View Bases
Read decimal, binary, and ASCII.
Frequently Asked Questions
Q: Why do computers use hex?
Hex compresses 8-bit bytes into clean 2-character pairs.