Easily convert Decimal numbers to Binary and Binary to Decimal — free & offline.
Decimal to Binary conversion is the process of translating numbers from base-10 (decimal system) into base-2 (binary system). The decimal system uses digits from 0–9, while binary uses only two digits: 0 and 1. Computers process data in binary, which makes this conversion essential for programming, networkingand digital electronics.
Our tool not only provides the final binary output but also shows the step-by-step calculation process, making it a perfect learning aid.
Binary numbers are the language of computers. By converting decimal numbers into binary, you can:
To convert a decimal number to binary manually, divide the number by 2 and record the remainders. Continue dividing until the quotient is 0. The binary number is the remainders read in reverse order.
Example: Convert 428.4 to binary.
428 ÷ 2 = 214 remainder 0
214 ÷ 2 = 107 remainder 0
107 ÷ 2 = 53 remainder 1
53 ÷ 2 = 26 remainder 1
26 ÷ 2 = 13 remainder 0
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Integer Part: 428 → 110101100
Fractional Part: 0.4 → .011001 (approx.)
Result: 428.4 → 110101100.011001₂
| Decimal | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 10 | 1010 |
| 15 | 1111 |
| 20 | 10100 |
| 120 | 1111000 |
| 240 | 11110000 |
| 350 | 101011110 |
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