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Q. Explain about Algebraic Simplification?
We have already determined algebraic simplification of logic circuit. An algebraic expression can exist in SOP or POS forms. Let's inspect subsequent illustration to understand how it helps in realizing any logic circuit.
Illustration: Consider function F (a,b,c) = ab¯c¯ + ab¯c + a¯b . The logic circuit implementation of this function is displayed in fig (a).
Figure : Two logic diagrams for same Boolean expression
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Simplified the Boolean Algebra (x + y)(x + z) simplifies to ? Ans. x + yz as simplified the Boolean Algebra expression. [(x + y) (x + z)] = xx + xz + xy + yz = x + xz + xy + y
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Simplify the given expressions using Boolean postulates Y = (A + B)(A‾ + C)(B + C) Ans. Y = (A + B)(A‾ + C)(B + C) = (A A‾ + AC + B A‾ + BC) (B + C) = (AC + B A‾ + BC) (B + C)
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