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# Integer to Binary

AndrewBudd.Integer to Binary

The **Integer to Binary **Calculator accepts an integer value and returns the given integer converted to binary.

**INSTRUCTIONS**: Enter the following:

- (
**i**) This is a base 10 integer

**Binary Value: ** The calculator returns the binary string equal to the value of the input integer.

#### The Math / Science

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 2^{0} (1)

The second value in a binary string is multiplied by 2^{1} (2)

The third value in a binary string is multiplied by 2^{2} (4)

The forth value in a binary string is multiplied by 2^{3} (8), and so on.

In this way, the binary number of 1011 is:

1 • 2^{0} + 1 • 2^{1} + 0 • 2^{2} + 1 • 2^{3} = 11 in base 10 numbers which we commonly use.