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(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)=...
4. Simplify the following Boolean function F, together with the don't care conditions d, and then...
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-m(5,6,7,12,14,15) +d (3,9,11,15) (Use K-maps for the simplification)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then...
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-?m(5,6,7, 12, 14, 15) +zd (39, 11, 15) (Use K-maps for the simplification)
8) Simplify the following Boolean function F, together with the don't care conditions d, and then...
8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)
Simplify the following Boolean function F together with the don't-care condition F(A, B, C, D) =...
Simplify the following Boolean function F together with the don't-care condition F(A, B, C, D) = sigma(1, 3, 5, 7, 9, 15), d(A, B, C, D) = sigma m(4, 6, 12, 13)
digital Logic For the Booelan function F together with the don't-care conditions d. Perform the following:...
digital Logic
For the Booelan function F together with the don't-care conditions d. Perform the following: a. Optimize the expression in Sum-of-Products form. (10 points) K.maps b. Implement the Sum-of-Products form using logic gates. (5 points) c. Determine the Inverse function F. (5 points) F(ABCD) m(2,3,8,10) d(ABCD) m(0, 6,7,13)
Simplify the following Boolean function F, together with the don’t-care conditions d. Draw a NOR only...
Simplify the following Boolean function F, together with the don’t-care conditions d. Draw a NOR only implementation of the simplified circuit. a. F(x, y, z) = ∑m(0, 1, 4, 5, 6) d(x, y, z) = ∑m (2, 3, 7) b. F(A, B, C, D) = ∑m (5, 6, 7, 12, 14, 15) d(A, B, C, D) = ∑m (3, 9, 11) c. F(A, B, C, D) = ∑m (4, 12, 7, 2, 10) d(A, B, C, D) = ∑m (0,...
[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.
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)
Please show the steps 1. Write the minimum SOP expression of F(A,B,C)=∑(2,3,4,6) with “don't-care” conditions, d(A,B,C)=(0,1,5)...
Please show the steps 1. Write the minimum SOP expression of F(A,B,C)=∑(2,3,4,6) with “don't-care” conditions, d(A,B,C)=(0,1,5) 2. Write the minimum POS expression of F(A,B,C,D)=Π(2,3,11,12,15) with don't-care conditions, d(A,B,C,D)= (0,7,10,14) 3. What is the critical path delay for the given logic circuit? Assume that a 2-input OR gate has a propagation delay of 21 ns, the 2-input AND gate has a propagation delay of 14 ns, and the NOT gate has a propagation delay of 9 ns. A. 58 ns B. 57 ns...
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)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-m(5,6,7,12,14,15) +d (3,9,11,15) (Use K-maps for the simplification)
4. Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in a. Simplified sum-of-products expression (10 points) b. Simplified Product-of-Sums expression (10 points) F (A,B,C,D)-?m(5,6,7, 12, 14, 15) +zd (39, 11, 15) (Use K-maps for the simplification)
8) Simplify the following Boolean function F, together with the don't care conditions d, and then express the simplified function in sum-of-minterms form: F (A, B, C, D) = 2(4, 12, 7, 2, 10,) d(A, B, C, D) = 2(3, 9, 11, 15) d(A, B, C, D) = 2(0, 6, 8)
Simplify the following Boolean function F together with the don't-care condition F(A, B, C, D) = sigma(1, 3, 5, 7, 9, 15), d(A, B, C, D) = sigma m(4, 6, 12, 13)
digital Logic
For the Booelan function F together with the don't-care conditions d. Perform the following: a. Optimize the expression in Sum-of-Products form. (10 points) K.maps b. Implement the Sum-of-Products form using logic gates. (5 points) c. Determine the Inverse function F. (5 points) F(ABCD) m(2,3,8,10) d(ABCD) m(0, 6,7,13)
[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.
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)
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)
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