Decimal to Binary Converter

Convert decimal (base 10) numbers to binary (base 2) numbers instantly

Decimal to Binary Converter

Decimal (dec)

Binary (bin)

About Decimal to Binary Conversion

Decimal to binary conversion involves converting numbers from base 10 (using digits 0-9) to base 2 (using only 0s and 1s). The process involves repeatedly dividing by 2 and collecting the remainders.

Conversion Method

10₁₀ ÷ 2 = 5 remainder 0, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1 → 1010₂

Common Decimal to Binary Conversions

10₁₀

1010₂

15₁₀

1111₂

255₁₀

11111111₂

128₁₀

10000000₂

When to Use Decimal to Binary Conversion

• Programming bitwise operations
• Understanding computer data representation
• Network subnet calculations
• Digital signal processing