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- Select all statements that are equivalent to (V1) và g Ⓒpv (q→r) Op-(94r) ✓(15)^(947)Question Number Four: Answer each one of the following questions in the space assigned: 1- Simplify each of the following expressions using boolean algebra identities: [4 Marks] a- AB + A( CD + CD') b- ( BC' + A'D) ( AB' + CD') 2- Optimize (simplify) the following boolean function F together with the don't care conditions d in Product-of-sums using k-map: F(A,B.C.D) = IIM (1,3,4,6,9,11)+Ed (0,2,5,8,10,12,14)******** 6. The Product of sum (POS) form for the function F(X, Y, Z) = (1,5, 6, 7) is.
- c) Karnaugh map (K-map) is a minimization technique used in minimizing logic expressions. It is simpler and less error-prone as compared to the Boolean algebra method of minimizing logical expressions. Minimize the function with its don't- care conditions below using K-map F(A,B,C) = m(1, 3, 7, 11, 15) +D(0,2,5)The power set of {a} is * {a} {ø, {a}} {Ø, (a)} {Ø, a}Q. Explain algorither for operator precedence. pauson I
- = = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.Duality Principle can be : * O X(XY) = XY + XX O X(XY) = X + XY O X(XY) = YX + Y O ALL ARE WRONGFully β-reduce the following expressions, show β reduction steps 2. (λ a . λ i . a i) (λ a . i a)