# BIN2DEC(number,places)

• Where 'number' is the binary number to be converted to decimal number.
• 'places' is the number of characters to display the output.

BIN2DEC() converts a binary number to a decimal number.

## Description

BIN2DEC(number,places)

For example, BIN2DEC(101,3) returns 005 as a result.

```            BIN2DEC(11110) returns 30 as a result.
```
• This function is used to convert a binary number to a decimal number.
• Binary number is represented using digits 1 or 0 only. The number can also be entered in text format (e.g "101").
• The conversion can be obtained for a binary number upto 17 bits for positive numbers and 10 bits for negative numbers.
• The most significant bit represents the 'sign' of the number (0=positive, 1=negative). Negative numbers are represented using 2's complement notation.
• Positive numbers may be from 0 (000000000) to 130046 (11111111111111110) and negative numbers from -1 (1111111111) to -512 (1000000000).
• A number preceding with '0' (e.g 01111111111) should be written in text format ("01111111111") to avoid confusion with octal numbers.
• 'places' argument can be omitted. Then, Calci displays the octal output with minimum number of characters necessary.
• A binary number (e.g '101') is converted to decimal number (base 2) as -
```(1*2^2)+(0*2^1)+(1*2^0)=4+0+1= 5
```
• If the number is not a valid number, 'Calci' returns an #ERROR message.

Below are few examples that show the use of combination of functions and get the result in decimal -

1)SUM(BIN2DEC(100),BIN2DEC(101)) returns 9 as a result.

2)AVERAGE(BIN2DEC(100) + BIN2DEC(101)) returns 9 as a result.

3)BIN2DEC(110)+BIN2DEC(101)-BIN2DEC(100) returns 7 as a result.

## Examples

 Binary Input Decimal Output 100 4 11110,3 030 1010101010101010 43690 1111111111 1023 1111000000 960 1000000000 512

BIN2DEC