Binary to Decimal Converter Online Tool
About Binary to Decimal Converter Online Tool:
This online binary to decimal converter tool helps you to convert one input binary number (base 2) into a decimal number (base 10).
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.
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.
![comic binary to decimal](/image/cartoon-binary-to-decimal.png)
How to convert from binary to decimal?
For binary number represents as below (with n digits):
For each digit in binary numeral system (base 2), equals to each digit multiply by its position power to 2 in decimal numeral system.
Example 1: Convert binary number "1101" to decimal number:
Example 2: Convert binary number "0.101" to decimal number:
Binary to Decimal conversion table:
Binary | Decimal | Binary | Decimal |
---|---|---|---|
1 | 1 | 10101 | 21 |
10 | 2 | 10110 | 22 |
11 | 3 | 10111 | 23 |
100 | 4 | 11000 | 24 |
101 | 5 | 11001 | 25 |
110 | 6 | 11010 | 26 |
111 | 7 | 11011 | 27 |
1000 | 8 | 11100 | 28 |
1001 | 9 | 11101 | 29 |
1010 | 10 | 11110 | 30 |
1011 | 11 | 11111 | 31 |
1100 | 12 | 100000 | 32 |
1101 | 13 | 100001 | 33 |
1110 | 14 | 100010 | 34 |
1111 | 15 | 100011 | 35 |
10000 | 16 | 100100 | 36 |
10001 | 17 | 100101 | 37 |
10010 | 18 | 100110 | 38 |
10011 | 19 | 100111 | 39 |
10100 | 20 | 101000 | 40 |
More information:
Wikipedia (Binary): https://en.wikipedia.org/wiki/Binary_number
Wikipedia (Decimal): https://en.wikipedia.org/wiki/Decimal
Convert Binary to Decimal with Python:
def binary_to_decimal(binary_str): decimal_number = int(binary_str, 2) return decimal_number binary_input = '1101' decimal_output = binary_to_decimal(binary_input) print('decimal result is:{0}'.format(decimal_output)) ------------------- decimal result is:13
Convert Binary to Decimal with Java:
public class NumberConvertManager { public static int binary_to_decimal(String binary_str) { return Integer.parseInt(binary_str, 2); } public static void main(String[] args) { String binary_input = "1101"; int decimal_output = binary_to_decimal(binary_input); System.out.println("decimal result is:" + decimal_output); } } ------------------- decimal result is:13