Binary to Hexadecimal Converter
Free online tool to instantly convert binary (Base 2) to hexadecimal (Base 16). Includes quick conversion tables and step-by-step mathematical explanations.
How to convert Binary to Hexadecimal
Converting from Binary (Base 2) toHexadecimal (Base 16) involves positional value evaluation.
Convert Binary to Decimal
Multiply each digit of the binary number by 2 raised to the power of its position index (starting from position 0 on the right). Sum all products together to obtain the decimal equivalent.
Convert Decimal to Hexadecimal
Divide the decimal value repeatedly by 16. Record the remainders after each division. The final hexadecimal representation is formed by reading the remainders in reverse order (bottom to top).
Binary to Hexadecimal Quick Conversion Table
Common values converted between Binary (Base 2) and Hexadecimal (Base 16):
| Decimal (10) | Binary (2) | Hexadecimal (16) |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 10 | 2 |
| 3 | 11 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
| 8 | 1000 | 8 |
| 9 | 1001 | 9 |
| 10 | 1010 | A |
| 11 | 1011 | B |
| 12 | 1100 | C |
| 13 | 1101 | D |
| 14 | 1110 | E |
| 15 | 1111 | F |
| 16 | 10000 | 10 |
| 32 | 100000 | 20 |
| 64 | 1000000 | 40 |
| 100 | 1100100 | 64 |
| 255 | 11111111 | FF |
Binary to Hexadecimal Frequently Asked Questions
Common questions and step-by-step mathematical answers about converting Binary (Base 2) to Hexadecimal (Base 16).
1How do you convert binary to hexadecimal?↓
Split the binary string into 4-bit groups starting at the right. Pad the leftmost group with 0s if necessary, and replace each group with its hex symbol.
2What is the method for binary to hex conversion?↓
Direct nibble mapping allows instant translation between base-2 and base-16 without decimal conversion.
3How do you convert binary to hexadecimal manually?↓
Example with 11011110₂: [1101] [1110] → 1101 = D (13), 1110 = E (14) → DE₁₆.
4What is 1010 in hexadecimal?↓
1010₂ = 8 + 2 = 10₁₀ = A₁₆.
5What is 11111111 in hexadecimal?↓
[1111] [1111] → F and F → FF₁₆ (equals 255 in decimal).
6Why are binary digits grouped in sets of four for hexadecimal?↓
4 bits (one nibble) have 2⁴ = 16 combinations (0000 to 1111), exactly matching the 16 hex symbols.
7How do you convert binary fractions to hexadecimal?↓
Example: 0.11₂ → [1100] → 0.C₁₆.
8What is the relationship between binary and hexadecimal?↓
2 hex digits represent 1 full 8-bit byte, making hex ubiquitous in computing.
9How do you convert large binary numbers to hex?↓
Example: 101011110010₂ → [1010] [1111] [0010] → AF2₁₆.
10How do you calculate hexadecimal values from binary?↓
This formula yields the decimal value of the nibble (0-15), which maps to the hex digit.