Decimal to Binary Converter Convert your data
How to convert decimal to binary
Conversion steps:
- Divide the number by 2.
- Get the integer quotient for the next iteration.
- Get the remainder for the binary digit.
- Repeat the steps until the quotient is equal to 0.
Decimal to binary conversion table
Decimal (Base 10) | Binary (Base 2) |
---|---|
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 |
Example
Convert 12345678910 to binary:
Division by 2 | Quotient (integer) | Remainder (decimal) | Digit number |
---|---|---|---|
123456789/2 | 7716049 | 1 | 0 |
61728394/2 | 30864197 | 0 | 1 |
30864197/2 | 15432098 | 1 | 2 |
15432098/2 | 7716049 | 1 | 3 |
7716049/2 | 3858024 | 1 | 4 |
3858024/2 | 1929012 | 0 | 5 |
1929012/2 | 964506 | 0 | 6 |
964506/2 | 482253 | 0 | 7 |
482253/2 | 241126 | 1 | 8 |
241126/2 | 120563 | 0 | 9 |
120563/2 | 60281 | 1 | 10 |
60281/2 | 30140 | 1 | 11 |
30140/2 | 15070 | 0 | 12 |
15070/2 | 7535 | 0 | 13 |
7535/2 | 3767 | 1 | 14 |
3767/2 | 1883 | 1 | 15 |
1883/2 | 941 | 1 | 16 |
941/2 | 470 | 1 | 17 |
470/2 | 235 | 0 | 18 |
235/2 | 117 | 1 | 19 |
117/2 | 58 | 1 | 20 |
58/2 | 29 | 0 | 21 |
29/2 | 14 | 1 | 22 |
14/2 | 7 | 0 | 23 |
7/2 | 3 | 1 | 24 |
3/2 | 1 | 1 | 25 |
1/2 | 0 | 1 | 26 |
111010110111100110100010101 |
12345678910 = 1110101101111001101000101012