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10

Decimal to Binary

Convert decimal numbers into binary values with a clear division-by-2 breakdown.

Decimal Number

Enter a decimal number

Enter a non-negative whole number using decimal digits from 0 to 9.

Quick Examples

Select one

DEC

Base 10

BIN

Base 2

How conversion works

Divide the decimal number repeatedly by 2, record each remainder, then read the remainders from bottom to top.

10

Binary value will appear here

Enter a non-negative whole decimal number to convert it into its binary equivalent.

Quick Reference

1₁₀

1₂

2₁₀

10₂

4₁₀

100₂

8₁₀

1000₂

Decimal to Binary Reference

Common decimal and binary values

Quick comparison for decimal numbers from 0 through 15.

0

Decimal

0

Binary

1

Decimal

1

Binary

2

Decimal

10

Binary

3

Decimal

11

Binary

4

Decimal

100

Binary

5

Decimal

101

Binary

6

Decimal

110

Binary

7

Decimal

111

Binary

8

Decimal

1000

Binary

9

Decimal

1001

Binary

10

Decimal

1010

Binary

11

Decimal

1011

Binary

12

Decimal

1100

Binary

13

Decimal

1101

Binary

14

Decimal

1110

Binary

15

Decimal

1111

Binary

Simple Process

Convert Decimal to Binary in 3 Steps

Enter a decimal integer, repeatedly divide it by 2 and read the remainders from bottom to top to get the binary value.

01
01

Enter Decimal Number

Enter a non-negative whole decimal number.

02
02

Divide by 2

The number is repeatedly divided by 2 and each remainder is recorded.

03
03

Read the Remainders

Read the remainders from bottom to top to get the binary value.