# boolean algebra question and answer

May 29th, 2015
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What is K-map ? (Ans) A Karnaugh Map is a graphical way of minimizing a boolean expression(Maxterms orMinterms). What is a Truth Table ? (Ans) A Truth Table is a table that gives all possible values of logical variables in all possible

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What is K-map ? (1 Mark)(Ans)A Karnaugh Map is a graphical way of minimizing a boolean expression(Maxterms orMinterms).What is a Truth Table ? (1 Mark)(Ans)A Truth Table is a table that gives all possible values of logical variables in all possible combinations, and their corresponding results.Who was George Boole ? (1 Mark)(Ans)George Boole, was an Englishman who invented Boolean algebra. His concepts are well known today in the field of mathematical logic. He gave the operators "And, Or, and Not" used to connect conditions. His major book on symbolic logic identified the concept of "Boolean Logic" in "The Mathematical Analysis of Logic" in 1847. He authored "An Investigation of the Laws of Thought" in 1854. Here he described what the computer industry now calls cybernetics.Use NOR gates to represent the boolean expression -(X+Y)(Y+Z)(X+Z) ? (2 Marks)(Ans)Steps are:a) Derive the simplified POS expressionb) Draw the circuit diagram using NOT, AND and OR gates.c) Replace NOT, AND and OR gates with NOR gates.NOR gates are suitable for expressions in POS form. Give the complement of the following Boolean expressions a) XY + XY + XYb) (B+D)(A+C) (2 Marks)(Ans)a)Complement of XY + XY + XY= (XY + XY + XY) = (XY) . (XY) . (XY) as (X+Y+Z) = X.Y.Z= (X + Y) . (X+ Y) . (X + Y) as (X.Y) = X+Y= (X+Y).

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