Question

How to simplify boolean algebra and check for equivalent equations?

Boolean Algebra 13. Select the Boolean expressions that share the same truth table as A-B-C+A-B-C+A-B-C+A-B-C Select all that apply. O A. ĀB.C+A-B-T+A-B-C+A-B-C O B. (A+B+C).(A+B+C)-(A+B+C) A+B+C) O C. (A+B+C). (A+B+C)-(A+B+C). (A+B+C) O D . (A+B+C) A+B+C).(A+B+C) (A+B+C) O E. (1+B+C)(A+B+C). (A+B+C)-(A+B+C) 14. Select all equivalent Boolean equations. O A. B+AC OB. AB+AC + BC + BC O c. (+B)A+C)(B+C)(B+C) OD. AB+AC+C 15. Select the Boolean expression(s) matching the filled areas of this Venn diagram. Big Red Square O A. (Big +Red) + Square. (Big - Red) O B. (Big - Red). (Square+Big+Red) O C. Square. (Big + Red) + Big. Red OD. Square. (Big +Red) + Big-Red) 16. Select all Boolean expressions that are equivalent to: PQ+RS O A. P+Q+R+S OB. P+Q+R+S O c. PQ-RS OD. PORS

Answer 1

13. The boolean expression is A B C + AB.CHA.B.CHA.B.C. The above expression sop form. The pos form found to be for the same truth table. (To do this just perform negation) (A+B + C). (At B to 7o CÃ + B+C).CÃ +B+C) (option-B)

14. consider AB + AC ABC AB e & AB & AC + B C C+E) (Negation law! x+8 = 1 - A Bt AC + BC1) 2 AB & AC AB - BCHA) TAC NULL law : 1+x=17 - Bt AC option A and B are equivalent) від Rad 15. I suave. (Bugare) > square. (Bigt red) Big. Red Square => square (BigtRed) + Big Red. [Option- 16. (Ph the Demorgan's law : (x+4) = x. 7) - P CRs) Double negation law. (W) x) - PQRS Copbon -D]

Just follow boolean laws to simplify.

To solve truth equivalence check sop in pos form.

Venn diagrams first ditiguish intersection and union parts