Documentation/Calc Functions/DEC2BIN

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Function name:

DEC2BIN

Category:

Add-in

Summary:

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

Syntax:

DEC2BIN(Number[; Places])

Returns:

Returns a text string comprising up to 10 binary digits (0 or 1), which is the binary number in two’s complement form that corresponds to the specified decimal number.

Arguments:

Number is a string or a number, or a reference to a cell containing one of those types, which gives the decimal number that is to be converted to binary. Number should be an integer value that is not less than -512 or greater than +511.

Places is an integer in the range 1 to 10, or a reference to a cell containing that value, which is the number of binary characters that should be returned for a positive Number. Places is ignored for negative values of Number, when DEC2BIN always returns 10 binary characters. The default for positive values of Number is for the returned string to occupy as many characters as necessary to accommodate the binary representation; however, you can set the value of Places to add leading zeroes where necessary.

  • If Number is non-numeric (including an empty string), then DEC2BIN reports a #VALUE! error.
  • If Number is a non-integer value, then DEC2BIN truncates it to an integer.
  • If, after any truncation, Number is outside the range specified, DEC2BIN reports an invalid argument error (Err:502).
  • If Number is a reference to an empty cell, DEC2BIN returns 0 (possibly with leading zeroes, depending on the value of Places).
  • If Places is non-numeric, then DEC2BIN reports an invalid argument error (Err:502).
  • If Places is a non-integer value, then DEC2BIN truncates it to an integer.
  • If, after any truncation, Places is less than 1 or greater than 10, DEC2BIN reports an invalid argument error (Err:502).
  • If Number is positive and Places is less than the minimum number of characters required to accommodate the binary representation of Number, then DEC2BIN reports an invalid argument error (Err:502).

Additional details:

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

Examples:

Formula Description Returns
=DEC2BIN(63) Here the function converts the decimal value of 63 (passed as a number) to its binary equivalent of 111111. 111111
=DEC2BIN("63"; 8) Here the function again converts the decimal value of 63 (passed as a string) to its binary equivalent of 111111 but also adds two leading zeroes. 00111111
=DEC2BIN(D1; D2) where cells D1 and D2 contain the numbers 63 and 10 respectively. Here the function again converts the decimal value of 63 (passed via a cell reference on this occasion) to its binary equivalent of 111111 but also adds four leading zeroes. 0000111111
=DEC2BIN(-512) Here the function converts the minimum allowed decimal value of -512 to its binary equivalent of 1000000000. 1000000000
=DEC2BIN(-1) Here the function converts the decimal value of -1 to its binary equivalent of 1111111111. 1111111111
=DEC2BIN(+511) Here the function converts the maximum allowed decimal value of +511 to its binary equivalent of 111111111. 111111111

Related LibreOffice functions:

DEC2HEX

DEC2OCT

ODF standard:

Section 6.19.7, part 2

Equivalent Excel functions:

DEC2BIN