Manuals/calci/BIN2DEC

BIN2DEC(number,places)

places argument to be included in upcoming version

• Where 'number' is the binary number to be converted to decimal number.

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

Description

BIN2DEC(number)

For example, BIN2DEC(101) returns 5 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.

• 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 4.5 as a result.

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

Examples

Binary Input	Decimal Output
100	4
11110	30
1010101010101010	42666
1111111111	-1
1111000000	-64
1000000000	-512

See Also

• BIN2HEX

• BIN2OCT

• DEC2BIN

• OCT2BIN

• HEX2BIN

References

• Conversion of Binary Numbers