Operation
Hexadecimal Values
Quick Reference
| Hex | Decimal | Binary | Hex | Decimal | Binary |
|---|---|---|---|---|---|
| 0 | 0 | 0000 | 8 | 8 | 1000 |
| 1 | 1 | 0001 | 9 | 9 | 1001 |
| 2 | 2 | 0010 | A | 10 | 1010 |
| 3 | 3 | 0011 | B | 11 | 1011 |
| 4 | 4 | 0100 | C | 12 | 1100 |
| 5 | 5 | 0101 | D | 13 | 1101 |
| 6 | 6 | 0110 | E | 14 | 1110 |
| 7 | 7 | 0111 | F | 15 | 1111 |
Common Hex Values
Result
Hexadecimal
0x109
Steps
Try These Examples
Quick-start with common scenarios
Practice Problems
Test your skills with practice problems
Practice with 3 problems to test your understanding.
?What is Hexadecimal?
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F (where A=10 through F=15). To convert hex to decimal, multiply each digit by its positional power of 16 and sum. For example, 1A3 hex = (1x256) + (10x16) + (3x1) = 419 decimal. Each hex digit equals exactly 4 binary bits.
About Hexadecimal Numbers
Hexadecimal (hex) is a positional number system with base 16, using digits 0-9 and letters A-F to represent values 0-15. It is widely used in computing and digital electronics because it provides a compact way to represent binary data. Each hexadecimal digit corresponds to exactly four binary bits, making conversions straightforward.
Key Facts About Hexadecimal
- Hexadecimal is base-16 using digits 0-9 and letters A-F (A=10, B=11, C=12, D=13, E=14, F=15)
- Each hex digit represents exactly 4 binary bits (1 hex digit = 4 bits)
- FF hex = 255 decimal = 11111111 binary (maximum value in 1 byte)
- Common uses: color codes (#FF0000 = red), memory addresses, programming
- Bitwise AND (&): returns 1 only if both bits are 1
- Bitwise OR (|): returns 1 if either bit is 1
- Left shift (<<) multiplies by 2^n; right shift (>>) divides by 2^n
- Two hex digits = 1 byte (8 bits), can represent values 00-FF (0-255)
Quick Answer
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F (where A=10 through F=15). To convert hex to decimal, multiply each digit by its positional power of 16 and sum. For example, 1A3 hex = (1x256) + (10x16) + (3x1) = 419 decimal. Each hex digit equals exactly 4 binary bits.
Frequently Asked Questions
What is hexadecimal?
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F. Each hex digit represents 4 binary bits, making it compact for representing binary data. For example, FF in hex equals 255 in decimal and 11111111 in binary.
How do I convert hex to decimal?
Multiply each hex digit by its positional value (powers of 16) and sum the results. For example, 1A3 = (1×16²) + (10×16¹) + (3×16⁰) = 256 + 160 + 3 = 419. Remember A=10, B=11, C=12, D=13, E=14, F=15.
What are bitwise operations?
Bitwise operations work on individual bits: AND (&) returns 1 if both bits are 1, OR (|) returns 1 if either bit is 1, XOR (^) returns 1 if bits differ, NOT (~) inverts all bits. These are fundamental for low-level programming and data manipulation.
Why is hex used in programming?
Hex is compact (1 hex digit = 4 bits), easy to convert to/from binary, and commonly used for: memory addresses, color codes (#FF0000), MAC addresses, ASCII/Unicode values, and debugging. It's more readable than long binary strings.
What is bit shifting?
Bit shifting moves all bits left (<<) or right (>>). Left shift by n multiplies by 2ⁿ, right shift divides by 2ⁿ. For example, 0x10 << 2 = 0x40 (16 × 4 = 64). Useful for efficient multiplication/division by powers of 2.
Last updated: 2026-01-15
Related Math Tools
Explore similar calculators
How this works
Formulas follow standard definitions from the NIST Digital Library of Mathematical Functions and classical textbook derivations. Calculations run entirely in your browser. Where a closed-form solution exists, it is used; where an iterative or numerical method is required, the implementation is named on the page.
Sources
- [1]NIST Digital Library of Mathematical FunctionsAcademicdlmf.nist.govAccessed Apr 21, 2026
Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).