Logical Functions /text/scalc/01/04060105.xhp 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. AND() 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. The array formula {=AND(B1:B10;C1:C10)} yields a one-dimensional value of TRUE when all components of B1:B10 and C1:C10 are TRUE. The array expression above does not produce the logical AND per element, and thus does not produce an array of logical values. To compute a logical AND of arrays per element use the * operator in array context. In the example, enter {=B1:B10*C1:C10}.
FALSE function

FALSE

Returns the logical value FALSE. The FALSE() function does not require any arguments, and always returns the logical value FALSE. FALSE() =FALSE() returns FALSE =NOT(FALSE()) returns TRUE
IF function

IF

Specifies a logical test to be performed. 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. =IF(A1>5;100;"too small") If the value in A1 is greater than 5, the value 100 is returned; otherwise, the text too small is returned. =IF(A1>5;;"too small") If the value in A1 is greater than 5, the value 0 is returned because empty parameters are considered to be 0; otherwise, the text too small is returned. =IF(A1>5;100;) If the value in A1 is less than 5, the value 0 is returned because the empty OtherwiseValue is interpreted as 0; otherwise 100 is returned.
NOT function

NOT

Complements (inverts) a logical value. NOT(LogicalValue) LogicalValue is any value to be complemented. =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. OR() 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. The array formula {=OR(B1:B10;C1:C10)} yields a one-dimensional value of FALSE when all components of B1:B10 and C1:C10 are FALSE. The array expression above does not produce the logical OR per element, and thus does not produce an array of logical values. To compute a logical OR of arrays per element use the + operator in array context. In the example, enter {=B1:B10+C1:C10}.
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. TRUE() 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. XOR() =XOR(TRUE();TRUE()) returns FALSE =XOR(TRUE();TRUE();TRUE()) returns TRUE =XOR(FALSE();TRUE()) returns TRUE