Free Tools in This Category
Binary to Hex Converter
Convert long 0s and 1s binary strings into compact hexadecimal representation.
Hex to Binary Converter
Translate hexadecimal characters (0-9, A-F) into raw 4-bit and 8-bit binary nibbles.
Binary to Decimal Converter
Convert base-2 binary numbers into everyday base-10 decimal integers.
Decimal to Binary Converter
Convert standard decimal numbers into their base-2 binary representation.
Decimal to Hex Converter
Convert decimal numbers into hexadecimal notation with optional 0x prefixing.
Hex to Text Converter
Decode hexadecimal ASCII strings (e.g., 48656C6C6F) into readable plain text ("Hello").
Why Hexadecimal Is the Programmer's Best Friend
Humans count in Base-10 (Decimal) because we have ten fingers. Computers count in Base-2 (Binary) because electronic transistors have two states (conducting electricity or not). But writing binary requires enormous space: a single 32-bit memory address takes 32 characters.
Base-16 (Hexadecimal) solves this because $16 = 2^4$. This means exactly 4 binary bits (called a "nibble") map to exactly 1 hexadecimal digit. An 8-bit byte ($256$ values) maps cleanly into exactly 2 hex characters ($00$ to $FF$).
| Decimal (Base-10) | 4-Bit Binary (Base-2) | Hexadecimal (Base-16) | Power Representation ($8\times b_3 + 4\times b_2 + 2\times b_1 + 1\times b_0$) |
|---|---|---|---|
| 0 | 0000 | 0 | 0 |
| 1 | 0001 | 1 | 1 |
| 2 | 0010 | 2 | 2 |
| 7 | 0111 | 7 | 4 + 2 + 1 = 7 |
| 9 | 1001 | 9 | 8 + 1 = 9 |
| 10 | 1010 | A | 8 + 2 = 10 |
| 11 | 1011 | B | 8 + 2 + 1 = 11 |
| 12 | 1100 | C | 8 + 4 = 12 |
| 13 | 1101 | D | 8 + 4 + 1 = 13 |
| 14 | 1110 | E | 8 + 4 + 2 = 14 |
| 15 | 1111 | F | 8 + 4 + 2 + 1 = 15 |
Tool-by-Tool Guide to Radix Converters
1. Binary to Hex & Hex to Binary Converters
To convert from binary to hex, group bits into 4-bit nibbles from right to left, then replace each nibble with its corresponding hex digit. The Binary to Hex Converter and Hex to Binary Converter automate this:
1111 1111$\rightarrow$FF(255 in decimal)1010 1100$\rightarrow$AC(172 in decimal)0010 1011$\rightarrow$2B(43 in decimal)
2. Binary to Decimal & Decimal to Binary Converters
The Binary to Decimal Converter and Decimal to Binary Converter calculate standard radix expansions:
$\text{Decimal Value} = \sum_{i=0}^{n} d_i \times 2^i$ | $\text{Repeated Division by 2 with Remainder}$
For example, to convert decimal 53 to binary: $53/2 = 26\text{ rem }1$, $26/2 = 13\text{ rem }0$, $13/2 = 6\text{ rem }1$, $6/2 = 3\text{ rem }0$, $3/2 = 1\text{ rem }1$, $1/2 = 0\text{ rem }1$. Reading remainders bottom to top gives 110101.
3. Decimal to Hex & Hex to Text Converters
CSS color codes like #3B82F6 (Tailwind blue) are simply three 8-bit hex numbers representing Red (3B = 59), Green (82 = 130), and Blue (F6 = 246). The Decimal to Hex Converter and Hex to Text Converter make inspecting raw bytecode, memory dumps, and color channels intuitive.