Truth+Tables

In this page we will study Truth tables, their meaning and importance and the formation of circuits. = TRUTH TABLES = ====  Truth tables are a mathematical representation for all the possible values of a logical statement, which can only have two solutions ‘true’ or ‘false’. The first columns represent an input variable such as P or Q, the last column shows the result of the logical operation. They are  used to determine the validity of an argument and they also show how a logic circuit's output responds to different combinations of the inputs (1 for true and logic 0 for false). ====

LOGICAL OPERATORS    T = true, F = false  ^ = and (logical conjunction)  ** V **= or (logical disjunction) XOR = (exclusive disjunction) **!** = not (negation) In the next truth tables we will show how each logical operator works:


 * A) OPERATOR 'AND':** the inputs are A and B, the last column shows the possible solutions when A and B are TRUE or FALSE.




 * B) OPERATOR 'NOT':** the input is 'p', the negations is the opposite value of 'p'.




 * C) OPERATOR 'OR':** When 'p' or 'q' present at least one TRUE value, the result will be TRUE. However, if both values are FALSE, the result will be FALSE.




 * D) OPERATOR 'XOR':** When the values are the same 'T' and 'T' or 'F' AND 'F', the result will be FALSE. If the values are different, 'T' and 'F', the result will be TRUE.