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Logical functions
We have discussed the If, 'While and For' Statements, and have used expressions within our syntax i.e. If ( expression) Statement 1; else Statement 2; do statement; while (expression); for (init;expression;alter) statement; while ( expression) statement;
We tended to restrict ourselves to simple expression i.e A == 5 etc. This is a simplification of what an expression really is. The equality sign indicates a logical identity i.e. true or false. Many other logical expressions could yield true or false .The most common ones are AND '&&', OR '||' and NOT '!' , these behave identical to there truth table counterparts . Therefore a valid expression could be
(age > 40) &&( term < 10) If age is greater than 40 and term is less than 10 then it is true or false (age > 40) || (term <10) If age is greater than 40 or term is less than 10 then it is true or false (age !> 40) || (term <10) If age is not greater than 40 or term is less than 10 then it is true or false
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Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ? Ans. The equation is A + A‾.B + A.B‾ = A + B L.H.S. = A + A‾ .B + A.B‾ = (A + A.B‾) + A‾.B
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