Homework Answers
Solution 2:-
The Boolean function has been implemented using two 3:8 decoders and it can be seen in the snapshot provided below. The minterms given in the Boolean function form the output and table for it is also provided.
| A | B | C | D | F(A,B,C,D) |
| 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 1 | 0 |
| 0 | 0 | 1 | 0 | 1 |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 1 | 0 |
| 1 | 1 | 0 | 0 | 1 |
| 1 | 1 | 0 | 1 | 0 |
| 1 | 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
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2. Implement the following Boolean function with a decoder. Use block diagrams. (5 points) F(A,B,C,D) =...
please complete ONLY 2B and if possible 2c 2a.) Implement the following Boolean function with a...
please complete ONLY 2B and if possible 2c
2a.) Implement the following Boolean function with a decoder. Use block diagrams. F(A,B,C,D) = E(0,2,6,7,8,9,10,12,14,15) 2b.) Implement the above Boolean function given in question 2a with a multiplexer. Use block diagrams. 2c.) you know the definition of a three-input majority function. Implement the three-input majority function with a multiplexer. Use block diagrams.
Use a 4x16 decoder to implement the following Boolean function: F ab bcd + ābd
Use a 4x16 decoder to implement the following Boolean function: F ab bcd + ābd
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)=...
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)= £d(1,6) Implement the function F with a 3-to-8 active low decoder (use a block diagram for the decoder) and AND gate (with required number of inputs) only.
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
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)
number 5,8 please 5. Implement the Boolean function F(A,B,C,D)- 2(1, 2, 5, 7, 8, 10, 12,14,...
number 5,8 please
5. Implement the Boolean function F(A,B,C,D)- 2(1, 2, 5, 7, 8, 10, 12,14, 15) based on using a 8-to-1 multiplexer. (10%) 6. What is the difference between a decoder and a demultiplexer? Give your explanations with circuits. (10%) Assume there are two sets of data, A and B each with 2-bit width, and they may be delivered to either of the two persons, X and Y located at remote place. Due to the connection between the two...
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.
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A,...
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
Multiplexer Example Implement the following Boolean function using a 4x1 Mux;
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
please complete ONLY 2B and if possible 2c
2a.) Implement the following Boolean function with a decoder. Use block diagrams. F(A,B,C,D) = E(0,2,6,7,8,9,10,12,14,15) 2b.) Implement the above Boolean function given in question 2a with a multiplexer. Use block diagrams. 2c.) you know the definition of a three-input majority function. Implement the three-input majority function with a multiplexer. Use block diagrams.
Use a 4x16 decoder to implement the following Boolean function: F ab bcd + ābd
(i) Given the following Boolean function F(A,B,C) = m(0,3,4,7) together with the don't care conditions d(A,B,C)= £d(1,6) Implement the function F with a 3-to-8 active low decoder (use a block diagram for the decoder) and AND gate (with required number of inputs) only.
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
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)
number 5,8 please
5. Implement the Boolean function F(A,B,C,D)- 2(1, 2, 5, 7, 8, 10, 12,14, 15) based on using a 8-to-1 multiplexer. (10%) 6. What is the difference between a decoder and a demultiplexer? Give your explanations with circuits. (10%) Assume there are two sets of data, A and B each with 2-bit width, and they may be delivered to either of the two persons, X and Y located at remote place. Due to the connection between the two...
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.
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
Implement the following Boolean function with an 8xl multiplexer F(A,B,C,D) B'C A'BD + AB'
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