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5. Implement the Boolean function F(A,B,C,D)- 2(1, 2, 5, 7, 8, 10, 12,14,...
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line d...
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a....
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...
2. Implement the following Boolean function with a decoder. Use block diagrams. (5 points) F(A,B,C,D) =...
2. Implement the following Boolean function with a decoder. Use block diagrams. (5 points) F(A,B,C,D) = (0,2,6,7,8,9,10, 12, 14, 15)
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Question 2: Combinational Logic (15 points) Implement the following Boolean function Z(A,B,C,D) = {(1,2,5,7,8,10,11,13,15) 2.1 (5...
Question 2: Combinational Logic (15 points) Implement the following Boolean function Z(A,B,C,D) = {(1,2,5,7,8,10,11,13,15) 2.1 (5 points) Write the truth table for Z. 2.2 (5 points) Implement Z using a single 16:1 multiplexer. Make sure that you mark all inputs and outputs clearly. 2.3 (5 points) Implement Z using an 8:1 multiplexer and all necessary gates. Make sure that you mark all inputs and outputs clearly.
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of...
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD
Implement the following Boolean function with an 8 x 1 multiplexer and with variable D as its input.
Implement the following Boolean function with an 8 x 1 multiplexer and with variable D as its input. F(A, B, C, D) = ∑m(2, 4, 6, 9, 10, 11, 15)
1) The Boolean function: F = AB + CD can be implemented by using one 3-to-8...
1) The Boolean function: F = AB + CD can be implemented by using one 3-to-8 decoder and one OR gate (any other external logic gates cannot be used). True or False. 2) What is the arithmetic equivalence for a shift right operation? 1) Half the value 2) Double the value 3) Add by two 4) Minus by two 3) What is the simplification result for Boolean expression: A(A+B) + A' + C
(a) The truth table below shows a certain function F(P,Q,R,S). Implement the function F using an 8:1 multiplexer, withou...
(a) The truth table below shows a certain function
F(P,Q,R,S).
Implement the function F using an 8:1 multiplexer, without any
other logic gate. Only the constants 0 and 1, and the literals (but
not their complements) are available.
Fill in the inputs in the multiplexer diagram.
(b). Implement the function F
using a 24 decoder and a 4:1 multiplexer, and at most one logic
gate. Only the constants 0 and 1, and the literals (but not their
complements) are available....
7. (20%) Simplify the following Boolean function F, using the two-level forms (a) AND-OR- Inverter, (b)...
7. (20%) Simplify the following Boolean function F, using the two-level forms (a) AND-OR- Inverter, (b) OR-AND-Inverter logic diagrams F(x, y, z) = (0,2,4,5,6).
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
7. (24 pts.) Implement the following Boolean function with an 8-to-1 multiplexer, a 2-to-4-line decoder, 3 x inverters and a OR-gate. (20 pts.) F(A, B, C, D, E) -2 (0,1,2,3,5,6,7,8,9,10,13,14,16,19,23,24)
3. Consider the following Boolean function. F(A, B, C, D)-(0, 1, 6, 7, 12, 13) a. Using K-map, simplify F in S.O.P. form b. What is the gate input count in (a)? c. Draw the logic circu in (a) d. Simply F using K-map in P.O.S. form. c. What is the gate input count in (d)? f. What should be your choice in terms of gate input count? 4. In our class, we implemented a BCD-to-Segment Decoder a. Draw Truth...
2. Implement the following Boolean function with a decoder. Use block diagrams. (5 points) F(A,B,C,D) = (0,2,6,7,8,9,10, 12, 14, 15)
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Question 2: Combinational Logic (15 points) Implement the following Boolean function Z(A,B,C,D) = {(1,2,5,7,8,10,11,13,15) 2.1 (5 points) Write the truth table for Z. 2.2 (5 points) Implement Z using a single 16:1 multiplexer. Make sure that you mark all inputs and outputs clearly. 2.3 (5 points) Implement Z using an 8:1 multiplexer and all necessary gates. Make sure that you mark all inputs and outputs clearly.
Q# 7 (3 marks) Implement the Boolean function F(K,A,B,C,D) shown below using a single decoder of a suitable size and multi- input OR gate and inverter. Note the order of the variables in the function F and use the same order when implementing input to the decoder. + (4-1) MUX (2-1) FIK.A,BC,D) MUX + 0 + - Si So BUD
(a) The truth table below shows a certain function
F(P,Q,R,S).
Implement the function F using an 8:1 multiplexer, without any
other logic gate. Only the constants 0 and 1, and the literals (but
not their complements) are available.
Fill in the inputs in the multiplexer diagram.
(b). Implement the function F
using a 24 decoder and a 4:1 multiplexer, and at most one logic
gate. Only the constants 0 and 1, and the literals (but not their
complements) are available....
7. (20%) Simplify the following Boolean function F, using the two-level forms (a) AND-OR- Inverter, (b) OR-AND-Inverter logic diagrams F(x, y, z) = (0,2,4,5,6).
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