Decimal to Binary

What is the Decimal to Binary Converter?

This tool converts decimal numbers (base-10) to binary numbers (base-2), showing how regular numbers are represented in computer memory.

Why Convert Decimal to Binary?

Understanding binary conversion helps you:

• Learn programming fundamentals — how data types work
• Work with bitwise operations — AND, OR, XOR, shifts
• Configure network settings — IP addresses, subnet masks
• Understand file sizes — bytes, kilobytes, megabytes

The Conversion Method

Repeatedly divide by 2 and collect remainders (read bottom to top).

Example: 10 ÷ 2 = 5 r0, 5 ÷ 2 = 2 r1, 2 ÷ 2 = 1 r0, 1 ÷ 2 = 0 r1 → Result: 1010

How to Use

1. Enter decimal number — type any positive integer
2. View binary result — conversion happens automatically
3. Copy the result — click the copy button to use elsewhere

Common Decimal to Binary Values

• 15 → 1111 (nibble max)
• 255 → 11111111 (byte max)
• 1024 → 10000000000 (1 KB)

Formatting

Binary results are grouped in sets of 4 digits for easier reading (e.g., 1111 0000 instead of 11110000).