Decimal to Binary Converter Online Tool

Binary Number₂

Hex Number₁₆

Octal Number₈

About Decimal to Binary Converter Online Tool:

This online decimal to binary converter tool helps you to convert one input decimal number (base 10) into a binary number (base 2).

Decimal Numeral System:

Decimal numeral system (also called Hindu-Arabic, or Arabic) has 10 digits, include (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), it's the most used number system in our daily life. Decimal numeral system is also one of the most ancient number system, it's inspired by 10 fingers of human.

Binary Numeral System:

Binary numeral system has 2 digits, include (0, 1). Four binary digits can be represented by 1 hexadecimal digits, and three binary digits can be represented by one octal digits. Binary is the numeral system that most close to electronic circuit hardware.

How to convert from decimal to binary?

Step 1: Divide the decimal number by 2, get the integer quotient and the remainder.
Step 2: Convert the remainder to the binary digit in that position.
Step 3: Using the integer quotient to repeat the steps until the integer quotient equals to 0.

Example: Convert decimal number "13" to binary (result is "1101"):

Repeat Division	Integer Quotient	Remainder (decimal)	Remainder (binary)	Digit Position
13/2	6	1	1	0
6/2	3	0	0	1
3/2	1	1	1	2
1/2	0	1	1	3

Decimal to Binary conversion table:

Decimal	Binary	Decimal	Binary
1	1	21	10101
2	10	22	10110
11	3	23	10111
4	100	24	11000
5	101	25	11001
6	110	26	11010
7	111	27	11011
8	1000	28	11100
9	1001	29	11101
10	1010	30	11110
11	1011	31	11111
12	1100	32	100000
13	1101	33	100001
14	1110	34	100010
15	1111	35	100011
16	10000	36	100100
17	10001	37	100101
18	10010	38	100110
19	10011	39	100111
20	10100	40	101000

More information:

Wikipedia (Binary): https://en.wikipedia.org/wiki/Binary_number

Wikipedia (Decimal): https://en.wikipedia.org/wiki/Decimal

Convert Decimal to Binary with Python:

def decimal_to_binary(decimal_str):
    decimal_number = int(decimal_str, 10)
    binary_number = bin(decimal_number)
    return binary_number


decimal_input = '2014'
binary_output = decimal_to_binary(decimal_input)
print('binary result is:{0}'.format(binary_output))

-------------------
binary result is:0b11111011110

Convert Decimal to Binary with Java:

public class NumberConvertManager {
    public static String decimal_to_binary(String decimal_str) {
        return Integer.toBinaryString(Integer.parseInt(decimal_str));
    }

    public static void main(String[] args) {
        String decimal_input = "2014";
        String binary_output = decimal_to_binary(decimal_input);
        System.out.println("binary result is:" + binary_output);
    }
}

-------------------
binary result is:11111011110