IMG_8948

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1. Consider the function of 3 variables specified with the following sum of products (SOP) form. F(X, Y, Z) = XY'Z'+ X'Y a) Specify the function with a canonical SOP form. Use minterm numbers. Minterm numbers can be identified using product terms presented with "0-1-dash" notation. b) Specify the function with a canonical product of sums (POS) from. Use Maxterm numbers. c) Minimize the function using K-map: obtain the minimal SOP and POS forms for the function.

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Please help find out what goes in the box labeled RA_data.

3) For the circuit shown in the following figure, Io - I3 are inputs to the 4:1 multiplexer. R (MSB) and S are control bits. The output Y can be represented by Answer: P 13 1₂ 4:1 MUX B Io S1 So RS Y O PQ+PR+ P Q S OPQ+ PS + QRS O PQ R+PQR+ Q R S + PQRS OPQR+ PQRS + Q R S+PQ RS

SOLVE IN DIGITAL FORMAT, DON'T USE AI Simplify the following Karnaugh map and obtain the simplest possible expression: d0 e 0 d0 U 1 d 1 e 1 d 1 e 0 b cabc a b 00 0 0 0 101 a X 0 1 0 1 X 0 0 1 1 0 X ca c b c a b cabcabcabc 1 0 1 0 1 1 0 1 1 1 10 1 100 1 1 1 X 1 1 0 X 0 X 0 0 0 X 0 1 1 1 1

Karnaugh Maps 155 5.21 Simplify the following expression first by using a niap and then by using Boolean alecbra. Use the nap as a guide to determine which theorenis to apply to which terms for the algebraic simplification. F = a'b'c' + a'c'd + bcd + abc + ab' 5.22 Find all prime implicants and all mininum sum-of-products expressions for each of the following functions. (a) (A,B.C.D) = E m(4, 11, 12, 13, 14) + E d(5,6,7,8,9, 10) (b) f(A,B,C,D) = L m(3, 11, 12, 13, 14) + E d(5,6,7,8,9. 10) (c) f(A,B.C,D) = £ m(1, 2, 4, 13, 14) + £ d(5, 6, 7,8,9, 10) (d) (A,B,C.D) = £ m(4, 15) + d(5,6, 7, 8,9, 10) (e) f(A,B,C,D) = L m(3,4, 11, 15) + £ d(5,6,7,8,9, 10) () f(A,B,C,D) = I m(4) +E d(5,6,7,8, 9, 10, 11, 12, 13, 14) (g) fA,B,CD) = £ m(4, 15) + £ d(0, 1, 2,5, 6, 7, 8,9, 10) 5.23 For each function in Problem 5.22, find all minimum product-of-sums expressions. 5.24 Find the minimum sum-of-products expression for (a) E m(0,2, 3,5,6, 7, 11, 12, 13) ( 6) Σm(2,4,8) +Σ d(0,3, 7) ( c ) Σm(1,5, 6,7, 13…

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A:0. Worksheet IV-.. Worksheet IV 2021 1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ĀCD (c) ABC + ABC (b) (A + B + C)(A + B + C) (d) A(A + C)(A + B) 2. Convert each SOP expression in Question 1 to standard form. 3. Convert each POS expression in Question 1 to standard form. 4. Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a (xy + 2)(y + x) (c) x'z + wx'y + wy:' + w'y' (b) (x +y')(y' + z) (d) (xy + yz' + x'z)(x + z) .5. Simplify the following Boolean expressions to a minimum number of literals: (a) ABC + A'B + ABC' (c) (x + y)'(x' + y') (e) (BC' + A'D)(AB' + CD') (b) x'yz + xz (d) xy + x(wz + wz') (f) (x + y' + z')(x' + z') 6. Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined by the following truth table: 1 1 1 Page 1 of 1

Note: To create a wire, drag from the output of a component to the input of another component. 465086.2476976.qx3zqy7 Jump to level 1 a b 10 0 10 0 1 0 0 1 0 z = ca + b N Delete selected item(s) Undo Click to add.

1) List 2 linear systems in your experience or in real life 2) List 2 digital signals in your experience or in real life For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph

Ex. 592. Refer to Figure 592. [R1,C1,S1,P1]=[17, 8,1,0]. [R2,C2,S2,P2]=[12,10,1,0]. Determine A,B,C,D,E,F.

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(B): Design a Moore FSM to detect the sequence (00) using T-FFs. Q4/ (A): Design a Mealy FSM for odd parity generator using JK-FFs.