False Value: Book 8 in the #1 bestselling Rivers of London series (A Rivers of London novel)

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If A4 is greater than B2 OR A4 is less than B2 plus 60 (days), then format the cell, otherwise do nothing. Here is a truth table that gives definitions of the 7 most commonly used out of the 16 possible truth functions of two Boolean variables P and Q: Logical disjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if at least one of its operands is true. So p EQ q is true if p and q have the same truth value (both true or both false), and false if they have different truth values. Exclusive disjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if one but not both of its operands is true.

Use the IF function along with AND, OR and NOT to perform multiple evaluations if conditions are True or False. Which says IF(A2 is Greater Than 89, then return a "A", IF A2 is Greater Than 79, then return a "B", and so on and for all other values less than 59, return an "F"). Example 2 Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true if its operand is false and a value of false if its operand is true. If a logical_test argument is supplied without a corresponding value_if_true, this function shows a "You've entered too few arguments for this function" error message. The output value is never true: that is, always false, because this operator has zero operands and therefore no input values

Falsey values in JavaScript

Result to be returned if logical_testN evaluates to TRUE. Each value_if_trueN corresponds with a condition logical_testN. Can be empty. Note that all of the examples have a closing parenthesis after their respective conditions are entered. The remaining True/False arguments are then left as part of the outer IF statement. You can also substitute Text or Numeric values for the TRUE/FALSE values to be returned in the examples. If there are n input variables then there are 2 n possible combinations of their truth values. A given function may produce true or false for each combination so the number of different functions of n variables is the double exponential 2 2 n.

Following are examples of some common nested IF(AND()), IF(OR()) and IF(NOT()) statements. The AND and OR functions can support up to 255 individual conditions, but it’s not good practice to use more than a few because complex, nested formulas can get very difficult to build, test and maintain. The NOT function only takes one condition. The negation of a conjunction: ¬( p∧ q), and the disjunction of negations: (¬ p)∨(¬ q) can be tabulated as follows: Which says IF(the value in cell F2 equals 1, then return the value in cell D2, IF the value in cell F2 equals 2, then return the value in cell D3, and so on, finally ending with the value in cell D8 if none of the other conditions are met). Remarks

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You can also use AND, OR and NOT to set Conditional Formatting criteria with the formula option. When you do this you can omit the IF function and use AND, OR and NOT on their own. To specify a default result, enter TRUE for your final logical_test argument. If none of the other conditions are met, the corresponding value will be returned. In Example 1, rows 6 and 7 (with the 58 grade) demonstrate this. The output value is always true, because this operator has zero operands and therefore no input values The logical NAND is an operation on two logical values, typically the values of two propositions, that produces a value of false if both of its operands are true. In other words, it produces a value of true if at least one of its operands is false.