Difference between revisions of "Manuals/calci/BIN2DEC"
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=BIN2DEC(number,places)= | =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. | BIN2DEC() converts a binary number to a decimal number. | ||
| Line 9: | Line 9: | ||
== Description == | == Description == | ||
| − | BIN2DEC(number) | + | BIN2DEC(number,places) |
| − | For example, BIN2DEC(101) ''returns | + | For example, BIN2DEC(101,3) ''returns 005'' as a result. |
BIN2DEC(11110) ''returns 30'' as a result. | BIN2DEC(11110) ''returns 30'' as a result. | ||
| Line 25: | Line 25: | ||
*Positive numbers may be from 0 (000000000) to 130046 (11111111111111110) and negative numbers from -1 (1111111111) to -512 (1000000000). | *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 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 - | *A binary number (e.g '101') is converted to decimal number (base 2) as - | ||
| Line 36: | Line 40: | ||
1)SUM(BIN2DEC(100),BIN2DEC(101)) ''returns 9'' as a result. | 1)SUM(BIN2DEC(100),BIN2DEC(101)) ''returns 9'' as a result. | ||
| − | 2)AVERAGE(BIN2DEC(100) + BIN2DEC(101)) ''returns | + | 2)AVERAGE(BIN2DEC(100) + BIN2DEC(101)) ''returns 9'' as a result. |
3)BIN2DEC(110)+BIN2DEC(101)-BIN2DEC(100) ''returns 7'' as a result. | 3)BIN2DEC(110)+BIN2DEC(101)-BIN2DEC(100) ''returns 7'' as a result. | ||
| − | + | ||
== Examples == | == Examples == | ||
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|- class="even" | |- class="even" | ||
| − | | class="ssh1_f" | 11110 | + | | class="ssh1_f" | 11110,3 |
| − | | class="sshl_f" | | + | | class="sshl_f" | 030 |
|- class="odd" | |- class="odd" | ||
| class="ssh1_f" | 1010101010101010 | | class="ssh1_f" | 1010101010101010 | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 43690 |
|- class="even" | |- class="even" | ||
| class="ssh1_f" | 1111111111 | | class="ssh1_f" | 1111111111 | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 1023 |
|- class="odd" | |- class="odd" | ||
| class="ssh1_f" | 1111000000 | | class="ssh1_f" | 1111000000 | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 960 |
|- class="even" | |- class="even" | ||
| class="ssh1_f" | 1000000000 | | class="ssh1_f" | 1000000000 | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 512 |
|} | |} | ||
| − | == | + | ==Related Videos== |
| − | + | {{#ev:youtube|tfKe8PPI2zs|280|center|BIN2DEC}} | |
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== See Also == | == See Also == | ||
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.