Consider the Boolean expression: u = wx + yz + wx'z' + w'y. (a) Draw the Karnaugh map for u. (b) Use the map in part (a) to obtain the Karnaugh map for u'. (c) Express u' as a minimal sum of products.
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Consider the Boolean expression: u = wx + yz + wx'z' + w'y.
(a) Draw the Karnaugh map for u.
(b) Use the map in part (a) to obtain the Karnaugh map for u'.
(c) Express u' as a minimal sum of products.
(d) Design a simple logic network for u'.
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- Simplify the following expression using Karnaugh map and implement. Draw simplified logic diagram as well. Implement on Multisim software. (a) Y=A.B.C'.D+A.B'.C'.D+A'.B'.C'.D+A'.B.C'.D+A'.B'.C'.D'+A'.B.C'.D'+A'.B.C.D'+A'.B.C.D+A'.B'.C.DDesign circuit that has an input w and an output z. The circuit is a sequence detector that produces z = 1 when the previous two values of w were 00 or 11; otherwise z = 0. Use W=0101100010101110101011100010 a) For this problem design the circuit using JK flipflops, draw the state diagram, true table, logic circuit.Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..
- Consider the multiplexer based logic circuit shown in the figure MUX MUX 1 Select one: a. W S1' S2' O b. W + S2 + S1 c. WS1 + WS2 + S1 S2 O d. WeS1es2Simplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyz
- (a) A logic circuit shown in Figure Q.3 has a 4-bit input A and B, three 4-bit wide 2:1 muxes, a 4-bit adder, a 4-bit output F, and a carry flag C. For the given Table Q.3, fill in the value of output F and carry flag C for the given value of A, B, S0, S1 and S2. 51 52 1001 Flag C 0011 Figure Q.3 Table Q.3 A So S1 S2 F Flag C 0001 1000 0010 1001 1 1 0011 1101 0100 1101 1110 0111 11. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsa. b. Draw the logic diagram for the following Boolean expression. The diagram should correspond exactly to the equation (do not simplify). Assume that the complements of the inputs are available. F = W'X(Y+Z) + WX'(Y + Z) + Y'Z(W + X) YZ'(W + X) Simplify the Boolean expression in (a) using a Karnaugh Map, then draw the corresponding two-level logic diagram as a sum of products implementation. Assume that the complements of the inputs are available.
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