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Documentation/Calc Functions/BIN2DEC

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Function name:

BIN2DEC

Category:

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 < 512.

Syntax:

BIN2DEC(Number)

Returns:

Returns an integer number in the range -512 ≤ d < 512, 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, so that 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 10 digits long with the leftmost bit 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 decimal, BIN2DEC will interpret it correctly.

Additional details:

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

Examples:

Formula Description Returns
=BIN2DEC(111111) Here the function converts the binary value of 111111 (passed as a number) to its decimal equivalent of 63. 63
=BIN2DEC("111111") Here the function again converts the binary value of 111111 (passed as a string) to its decimal equivalent of 63. 63
=BIN2DEC(D1) where cell D1 contains the number 111111. Here the function again converts the binary value of 111111 (passed via a cell reference) to its decimal equivalent of 63. 63
=BIN2DEC(1000000000) Here the function converts the minimum allowed 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 maximum allowed 10-character binary value of 111111111 to its decimal equivalent of 511. 511

Related LibreOffice functions:

BIN2HEX

BIN2OCT

ODF standard:

Section 6.19.14, part 2

Related (or similar) Excel functions:

BIN2DEC