Logical Functions
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logical functions
Function Wizard; logical
functions; logical functions
Logical Functions
This category contains the Logical functions.
Handling non-logical arguments in logical functions
Zero (0) is equivalent to FALSE and all other numbers are equivalent to TRUE.
Empty cells and text in cells are ignored.
A #VALUE error is raised if all arguments are ignored.
A #VALUE error is raised if one argument is direct text (not text in a cell).
Errors as argument lead to an error.
AND function
AND
Returns TRUE if all arguments are TRUE. If one of the elements is FALSE, this function returns the FALSE value.
The arguments are either logical expressions themselves (TRUE, 1<5, 2+3=7, B8<10) that return logical values, or arrays (A1:C3) containing logical values.
Syntax
AND(LogicalValue1; LogicalValue2 ...LogicalValue30)
LogicalValue1; LogicalValue2 ...LogicalValue30 are conditions to be checked. All conditions can be either TRUE or FALSE. If a range is entered as a parameter, the function uses all values of the range. The result is TRUE if the logical value in all cells within the cell range is TRUE.
Example
The logical values of entries 12<13; 14>12, and 7<6 are to be checked:
- =AND(12<13;14>12;7<6)
returns FALSE.
- =AND (FALSE;TRUE)
returns FALSE.
FALSE function
FALSE
Returns the logical value FALSE. The FALSE() function does not require any arguments, and always returns the logical value FALSE.
Syntax
FALSE()
Example
- =FALSE()
returns FALSE
- =NOT(FALSE())
returns TRUE
IF function
IF
Specifies a logical test to be performed.
Syntax
IF(Test; ThenValue; OtherwiseValue)
Test is any value or expression that can be TRUE or FALSE.
ThenValue (optional) is the value that is returned if the logical test is TRUE.
OtherwiseValue (optional) is the value that is returned if the logical test is FALSE.
Examples
- =IF(A1>5;100;"too small")
If the value in A1 is higher than 5, the value 100 is entered in the current cell; otherwise, the text “too small” (without quotes) is entered.
NOT function
NOT
Complements (inverts) a logical value.
Syntax
NOT(LogicalValue)
LogicalValue is any value to be complemented.
Example
- =NOT(A)
. If A=TRUE then NOT(A) will evaluate FALSE.
OR function
OR
Returns TRUE if at least one argument is TRUE. This function returns the value FALSE, if all the arguments have the logical value FALSE.
The arguments are either logical expressions themselves (TRUE, 1<5, 2+3=7, B8<10) that return logical values, or arrays (A1:C3) containing logical values.
Syntax
OR(LogicalValue1; LogicalValue2 ...LogicalValue30)
LogicalValue1; LogicalValue2 ...LogicalValue30 are conditions to be checked. All conditions can be either TRUE or FALSE. If a range is entered as a parameter, the function uses all values of the range.UFI: first try to fix bugtraq 4905779
Example
The logical values of entries 12<11; 13>22, and 45=45 are to be checked.
- =OR(12<11;13>22;45=45)
returns TRUE.
- =OR(FALSE;TRUE)
returns TRUE.
TRUE function
TRUE
The logical value is set to TRUE. The TRUE() function does not require any arguments, and always returns the logical value TRUE.
Syntax
TRUE()
Example
If A=TRUE and B=FALSE the following examples appear:
- =AND(A;B)
returns FALSE
- =OR(A;B)
returns TRUE
- =NOT(AND(A;B))
returns TRUE
XOR function
XOR
Returns true if an odd number of arguments evaluates to TRUE.
The arguments are either logical expressions themselves (TRUE, 1<5, 2+3=7, B8<10) that return logical values, or arrays (A1:C3) containing logical values.
Syntax
XOR(LogicalValue1; LogicalValue2 ...LogicalValue30)
Example
- =XOR(TRUE;TRUE)
returns FALSE
- =XOR(TRUE;TRUE;TRUE)
returns TRUE
- =XOR(FALSE;TRUE)
returns TRUE