# Documentation/Calc Functions/BIN2DEC

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BIN2DEC

Add-in

## Summary:

Converts a binary number (base-2) to its decimal (base-10) equivalent. The input binary number must correspond to a decimal number d in the range -512 ≤ d < +511.

BIN2DEC(Number)

## Returns:

Returns an integer number in the range -512 ≤ d < +511, which is the decimal value that corresponds to the specified binary number.

## Arguments:

Number is a string or a number, or a reference to a cell containing one of those types, which gives the binary number that is to be converted to decimal. The binary number must comprise only the digits 0 and 1, and must be no more than 10 digits long.

• Number should use the standard two's complement representation. In two's complement, positive numbers are binary 0 to 111111111 (0 to 511 decimal) and negative numbers are binary 1111111111 to 1000000000 (-1 to -512 decimal). Negative numbers must be ten digits long with the left-most digit set to 1; positive numbers can comprise less than 10 digits.
• If Number does not specify a valid binary number, then BIN2DEC reports an invalid argument error (Err:502). This may arise, for example, if Number contains more than 10 characters or if it contains any character other than the digits 0 and 1.
• If Number is a string comprising no characters, or a reference to an empty cell, BIN2DEC returns 0.
• Although the content of Number appears to be binary, it is not. However, BIN2DEC will interpret it correctly.

## Additional details:

The following Wikipedia pages provide useful background information relevant to this function:

## Examples:

Formula Description Returns
=BIN2DEC(1111) Here the function converts the binary value of 1111 (passed as a number) to its decimal equivalent of 15. 15
=BIN2DEC("1111") Here the function again converts the binary value of 1111 (passed as a string on this occasion) to its decimal equivalent of 15. 15
=BIN2DEC(D1) where cell D1 contains the number 1111. Here the function again converts the binary value of 1111 (passed via a cell reference on this occasion) to its decimal equivalent of 15. 15
=BIN2DEC(1000000000) Here the function converts the 10-character binary value of 1000000000 to its decimal equivalent of -512. -512
=BIN2DEC(1111111111) Here the function converts the 10-character binary value of 1111111111 to its decimal equivalent of -1. -1
=BIN2DEC(111111111) Here the function converts the 9-character binary value of 111111111 to its decimal equivalent of 511. 511

BIN2DEC