Difference between revisions of "Manuals/calci/BIN2DEC"
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| − | =BIN2DEC(number)= | + | =BIN2DEC(number,places)= |
*Where 'number' is the binary number to be converted to decimal number. | *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 == | == Description == | ||
| − | BIN2DEC(number) | + | 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. |
| + | *'places' is used for padding the output with leading '0's. | ||
| − | + | *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 - | |
| − | - | ||
| − | |||
| − | BIN2DEC | + | 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 == | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
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<div id="2SpaceContent" class="zcontent" align="left"> | <div id="2SpaceContent" class="zcontent" align="left"> | ||
{| id="TABLE3" class="SpreadSheet blue" | {| id="TABLE3" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | | class=" " | | + | | class=" " | '''Binary Input''' |
| − | + | | class=" " | '''Decimal Output''' | |
| − | | class=" " | | + | |
| − | |||
| − | |||
|- class="odd" | |- class="odd" | ||
| − | |||
| class="sshl_f" | 100 | | class="sshl_f" | 100 | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 4 |
| − | + | ||
| − | |||
|- class="even" | |- class="even" | ||
| − | | class=" | + | | class="ssh1_f" | 11110,3 |
| − | | class="sshl_f" | | + | | class="sshl_f" | 030 |
| − | + | ||
| − | |||
| − | |||
| − | |||
|- class="odd" | |- class="odd" | ||
| − | | | + | | class="ssh1_f" | 1010101010101010 |
| − | | class=" | + | | class="sshl_f" | 43690 |
| − | + | ||
| − | |||
| − | |||
|- class="even" | |- class="even" | ||
| − | | | + | | class="ssh1_f" | 1111111111 |
| − | + | | class="sshl_f" | 1023 | |
| − | + | ||
| − | | | ||
| − | | class=" | ||
|- class="odd" | |- class="odd" | ||
| − | | class=" " | | + | | class="ssh1_f" | 1111000000 |
| − | | | + | | class="sshl_f" | 960 |
| − | + | ||
| − | | | ||
| − | |||
|- class="even" | |- class="even" | ||
| − | | | + | | class="ssh1_f" | 1000000000 |
| − | | | + | | class="sshl_f" | 512 |
| − | | | + | |
| − | | | ||
| − | |||
|} | |} | ||
| − | + | ==Related Videos== | |
| − | + | {{#ev:youtube|tfKe8PPI2zs|280|center|BIN2DEC}} | |
| + | |||
| + | == See Also == | ||
| + | |||
| + | *[[Manuals/calci/BIN2HEX| BIN2HEX]] | ||
| + | |||
| + | *[[Manuals/calci/BIN2OCT| BIN2OCT]] | ||
| + | |||
| + | *[[Manuals/calci/DEC2BIN| DEC2BIN]] | ||
| + | |||
| + | *[[Manuals/calci/OCT2BIN| OCT2BIN]] | ||
| + | |||
| + | *[[Manuals/calci/OCT2BIN| HEX2BIN]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Binary_number#Conversion_to_and_from_other_numeral_systems Conversion of Binary Numbers] | ||
Latest revision as of 05:51, 8 October 2015
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.
- 'places' is used for padding the output with leading '0's.
- 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.