Binary to Hexadecimal Conversion — Complete Guide

Why Convert Binary to Hex?

Binary strings grow long quickly — an 32-bit address is 32 digits. Hexadecimal compresses each group of four bits into one character (0–9, A–F). Developers read 0xDEADBEEF far more easily than 32 binary digits. Hex appears in colour codes (#FF0000), memory dumps, assembly listings, and debug output.

The Nibble Grouping Method

1. Start from the right of the binary string.
2. Group digits in sets of four (called nibbles).
3. Pad with leading zeros if the leftmost group has fewer than four bits.
4. Convert each nibble to one hex digit using the table below.

Binary	Hex
0000	0
0001	1
1010	A
1111	F

Full reference: Hexadecimal Table.

Example 1: 11111111 → Hex

One nibble: 1111 = 15 = F. Two nibbles: FF = 255 decimal.

Example 2: 101010 → Hex

Pad left: 0010 1010 → 2 and 10(A) → 2A hex = 42 decimal.

Example 3: Large Binary String

Binary: 1101011110110010 → groups: 1101 0111 1011 0010 → D 7 B 2 → D7B2.

Reverse: Hex to Binary

Replace each hex digit with its 4-bit binary equivalent. C → 1100. See Hexadecimal to Decimal Guide.

Applications

• Web colours: #RRGGBB — each pair is one byte (00–FF)
• Memory addresses: 0x00400000 in debuggers
• Machine code: Opcode bytes shown in hex in disassemblers
• Embedded systems: Register values in datasheet hex notation

Tools & Resources

• Number System Converter — all bases at once
• Binary Table — decimal/binary/hex lookup
• Binary Arithmetic Calculator — after conversion, perform math

Common Mistakes

• Grouping from the left instead of the right
• Forgetting to pad incomplete leftmost groups
• Using decimal digit values instead of 4-bit binary for A–F (A=10, not “10” as two digits)

Frequently Asked Questions

How many binary digits equal one hex digit?

Exactly four binary bits (one nibble) equal one hexadecimal digit.

What is 1011 in hex?

1011 is only four bits → B (11 decimal). If you meant a longer string, pad and group first.

Why use hex instead of decimal for binary shorthand?

One hex digit always maps to exactly four bits — no fractional digit issues. Decimal groups do not align cleanly with binary bit boundaries.

Can Numverto convert binary to hex automatically?

Yes. Enter binary in the Number System Converter with input base 2.

What is the hex equivalent of ASCII ‘A’?

ASCII code 65 = 01000001 binary = 41 hex.