Question

Marks (3), Estimated tine (5 minutes) Which one of the following expressions is equivalent to F = a ФБФСФd Фе Select one: а ФБФСФd Фе ООО ā ebec de а Өь Фc Фd Фе а Фb Фc Фd Фе None of the choices

Answer 1

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We have used first elimination method to eliminate all non - possible answers and with the remaining answer we proved the answer using basic boolean algebra.

1.

famodne. * Noro we will eliminate answers. by putting all values (a, b, c, d, e} as 1. fa 107 11@1 - 19000 101 - 1:-* Similarly for other expressions. we see. 9)=0 for a=6=codze:1. ) - 1 in) =0 iv): 0 Exp Only second option may be correct answer. fa a b c d e - 0 Second to a boi @d e. W het 59 c d e PK ☺ ☺ f= a K. E = ã ok • Expanding 't we get > ErāOE.. cak + ak) using ca@b- āb + a5 ) 7 € = lakocak) using Demorgan's Lawe.

2.

» & Erla E). cano E= (a + K) • Cã &F) using Demorgan's Law fa a K. writing k Truth Table I atk. I for t. ate 1 I f( ak) O can from observe the table. As we truth E and I are equivalent. f is equivalent to second expression Hence which is a 5 0 c d e. Answer.

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