Decimal To Binary Converter

From

Enter Decimal Number

₁₀

Result

₂

Decimal to binary calcution steps:

How to convert a decimal number to the binary number?

Converting decimal to binary is super easy. As we are converting decimal to binary, we have to divide the number by 2 and every times we need to keep the remainder in reverse order.You must remember if it is a fractional number that will in different method. An example given below how to convert a fractional decimal number to binary number:

Example of decimal to binary conversion:

(10.25)₁₀ = (?)₂

For 10:

Divided by 2	Quotient	Remainder	Flow
10 / 2	5	0	↓
5 / 2	2	1	↓
2 / 2	1	0	↓
1 / 2	0	1	↓

For .25:

Multiply by 2	Result	Non-Fractional Part	Flow
.25 * 2	0.50	0	↓
.50 * 2	1.00	1	↓

Result is = (1010.01)₂

Decimal to binary conversion table:

Decimal	Binary
0	0
1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010
11	1011
12	1100
13	1101
14	1110
15	1111