Binary to Hexadecimal Converter

Convert binary numbers to hexadecimal format. This tool translates base-2 binary into compact hex (base-16) notation. Commonly used in programming, debugging, and low-level system work.

Binary Input

Hexadecimal Output

Binary to Hex Reference Table

Hex

Binary

Hex

Binary

0000

1000

0001

1001

0010

1010

0011

1011

0100

1100

0101

1101

0110

1110

0111

1111

How Binary to Hexadecimal Conversion Works

Group binary digits into sets of 4 (called nibbles), starting from the right. Each nibble directly maps to one hexadecimal digit (0-9, A-F). For example: 1101 1010 = D A = DA in hexadecimal.

How It Works

This binary to hexadecimal converter transforms binary numbers (base-2) into hexadecimal format (base-16). It groups binary digits into nibbles (4 bits) and converts each to its hex equivalent.

The conversion process:

Group into nibbles: Starting from the right, group binary digits into sets of 4 bits.
Pad if needed: Add leading zeros to the leftmost group if it has fewer than 4 bits.
Convert each nibble: Each 4-bit group converts to one hex digit (0000=0, 1111=F).
Concatenate result: Join all hex digits to form the final hexadecimal number.

For example: 11011010 becomes DA (1101=D, 1010=A). This grouping works because 16 = 2^4, so exactly 4 binary bits map to each hex digit.

When You'd Actually Use This

Memory Address Conversion

Convert binary memory addresses to hex for debugging and system programming.

Color Code Conversion

Understand how RGB color values in binary translate to hex color codes (#DA70D6).

Machine Code Analysis

Convert binary opcodes to hex for disassembly and reverse engineering.

Network Protocol Analysis

Translate binary packet data to hex for protocol analysis and debugging.

Learning Number Systems

Understand the relationship between binary and hexadecimal for computer science.

MAC Address Conversion

Convert binary network addresses to standard hex MAC address format.

What to Know Before Using

Each 4 bits = 1 hex digit

This is the key relationship. Hex is a compact representation of binary, with 4 bits per digit.

Hex uses 0-9 and A-F

Values 10-15 are represented as A-F (case-insensitive). A=10, B=11, C=12, D=13, E=14, F=15.

Leading zeros may be significant

0x0A and 0xA are the same value, but in some contexts (like fixed-width fields), leading zeros matter.

0x prefix indicates hex

Programming often uses 0x prefix (0xDA) to indicate hexadecimal. The converter handles with or without.

Output length is predictable

N binary bits produce N/4 (rounded up) hex digits. 32 bits = 8 hex digits.

Common Questions

What's the binary to hex conversion table?

0000=0, 0001=1, 0010=2, 0011=3, 0100=4, 0101=5, 0110=6, 0111=7, 1000=8, 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F.

How do I convert hex back to binary?

Expand each hex digit to 4 bits. DA becomes 1101 1010. Simple reverse operation.

Why use hex instead of binary?

Hex is 4x more compact. A byte is 8 binary digits but only 2 hex digits. Much easier for humans to read and write.

What's 0xFF in binary?

11111111 (8 ones). F=1111, so FF=11111111. It's 255 in decimal, the max 8-bit unsigned value.

Why is hex used for memory addresses?

Memory addresses are binary numbers. Hex provides compact, readable representation. 0x7FFF0000 is easier than 32 binary digits.

What's a nibble?

Half a byte - 4 bits. One hex digit represents exactly one nibble. Two nibbles make one byte (8 bits).

Can hex represent negative numbers?

Yes, using 2's complement notation. 0xFF in 8-bit is -1. The binary representation is the same; interpretation differs.

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