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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
Q Use as few gates as possible, design a NAND-to-AND gate network that realize the following Boolean algebra expression. ABCD + A'BC'D + A'BC'D' + A'BCD + (A'B'C'D' + A'BCD')
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