The Binary to Integer Calculator accepts an binary value and returns the given integer converted to binary.
INSTRUCTIONS: Enter the following:
Integer Value: The calculator returns the integer string equal to the value of the input binary.
Binary numbers are comprised of zeros (0) and ones (1). The position of the zero or one indicate the exponent of two added to the value, making binary a base 2 number system
The first value in a binary string is multiplied by 20 (1)
The second value in a binary string is multiplied by 21 (2)
The third value in a binary string is multiplied by 22 (4)
The forth value in a binary string is multiplied by 23 (8), and so on.
In this way, the binary number of 1011 is:
1 • 20 + 1 • 21 + 0 • 22 + 1 • 23 = 11 in base 10 numbers which we commonly use.
The power of binary is demonstrated in the Pick a Number from 1 to 31 game. Based on five yes or no questions, you can mathematically determine a number between 1 and 31. It's binary! Click on the link and try it.