1. Simplify the Boolean expression using Boolean algebra. a. (A+ B)+ B . b. АА + ВC+ BС. c. A + C + AB . d. A(B+ AC ).

Apply DeMorgan’s theorems to each expression a. [ A B’ ( C + D’ ) ]’b. ( A + B’ + C + D’ )’ + ( A B C D‘ )’ Using Boolean Algebra, simplify the following expressions c. ( A + A’ ) ( A B + A B C’ )d.[ A B ( C + ( B D )’ ) + ( A B )’ ] C D

answer the question being asked from the photo.note: explain/show proof how boolean algebra law was done

Please use proper syntax and formatting for Discrete Mathematics

Using logic gates, implement the following Boolean functions.​​​​​​​   a. F(A,B,C) = AC + B’C + BC’ ( AS SUM OF PRODUCTS)

1. Convert the following Boolean expression to Standard SoP form using Boolean Algebra. Show your calculations. Z= AB’+C 2. Simplify the following Logic function given standard SoP form (Minterms) using Karnaugh map. (Show your calculations) F (A, B, C) = Σ (m0, m1, m2, m4, m5, m6)

36.ll 1- 5-variables K-Map - Introduction -2.pdf → Minimize the following Boolean function use five variables K-map 1. In SOP and draw the logic circuit (Sum Of Product) 2. In POS and draw the logic circuit (Product Of Sum) F(A, B, C, D, E) = [[M(0,2,6,10,13,14,16,19,25,30) + d(1,4,5,11,21,22,24,27,31)

Use Boolean algebra to simplify the following expressions: A.  F = (A + B)(A’ + B’)B.  F = ( BC’ + A’D ) ( AB’ + CD’ )

Using Boolean Algebra laws, rules, and theorems, simplify the expressions below. Please use a whiteboard!

MUX Y High/Vec в с The multiplexer above is used to implement a Boolean function with A as the most significant bit and Cas least significant bit. What is the equivalent Boolean expression in simplest form? O B'C+A A'C +B O AC+B°C + AC O A'BC+ A'C A'B B'C