Four variable k-map Variable Y is a function with inputs A, B, C, and D defined...
Four variable k-map
Variable Y is a function with inputs A, B, C, and D defined by the
following minterm list with don't cares:
Y = m7+m13+m15+d0+d3+d6+d8+d10+d12+d14
Use a K-map to find the optimal logic expression for Y:
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Four variable k-map
Variable Y is a function with inputs A, B, C, and D defined...
1. Using a K-map find an optimal simplification of the following function F and don't care conditions...
1. Using a K-map find an optimal simplification of the following function F and don't care conditions d. a) F(A,B,C,D) = m2 + m3 + m4 + m7 + m11; don't cares = m5 + m15 b) G(W,X,Y,Z) = m0 + m2 + mm5 + m7 + m8 + m10 + m13; don't cares = m4 + m6 + m14.
digital logic design 1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15)...
digital logic design
1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
2. Minimize the function F(a,b,c,d) = m(0,2,6,10,11,13,15) + d(1,4) (d=don't cares) using both the K- map...
2. Minimize the function F(a,b,c,d) = m(0,2,6,10,11,13,15) + d(1,4) (d=don't cares) using both the K- map and the Quine McClusky tabular methods. a. On your K-map, first mark all pairs of 1s, then groups of 4. From your K-map, determine which prime implicants are essential & list them. b. How many pairs of 1s does the Quine McClusky process generate? Are they the same pairs you found on your K-map? Which prime implicants does Quine McClusky produce? Are they the...
What is the simplified version of the four-variable K-map for the following expression ∗F(A,B,C,D)=Σ(0,2,4,5,6,7,8,10,13,15)
What is the simplified version of the four-variable K-map for the following expression ∗F(A,B,C,D)=Σ(0,2,4,5,6,7,8,10,13,15)
A logic circuit realizing the function f has four inputs A, B, C, and D. The...
A logic circuit realizing the function f has four inputs A, B, C, and D. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D is such that A, B, C, and D always contain an odd number of 1’s. (For example, the digit 1 is represented by ABC = 001 and D = 0,...
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...
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map....
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map. Show your map and groups and write the simplest equation using proper variable names. F(W,X,Y,Z) = m (0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14)
The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A)...
The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A) Find out SOP for the function. B) List all the input pair(s) where we can observe a timing hazard from the K-map. C) Draw the timing hazard diagram for one of the input pair. Assume ALL gate delays are equal. Identify the timing hazard from the diagram. D) Write the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated.
A digital logic circuit realizing the function F that has four inputs A, B, C, and...
A digital logic circuit realizing the function F that has four inputs A, B, C, and D. It only accepts inputs in the format: the three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the MSB and C being the LSB, and the input D has to be an odd-parity bit (i.e., the value of D is such that the number of l’s in the 4 inputs A, B, C,...
Using SmartSim, simulate the following circuit: f(A,B,C,D)=(B'+C).(A+C+D').(A+B+D') Use a K-Map to simplify the above function to...
Using SmartSim, simulate the following circuit: f(A,B,C,D)=(B'+C).(A+C+D').(A+B+D') Use a K-Map to simplify the above function to minimum product of sums form. Simulate the simplified function. Include logic diagram, truth table and timing diagram for both please.
digital logic design
1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
2. Minimize the function F(a,b,c,d) = m(0,2,6,10,11,13,15) + d(1,4) (d=don't cares) using both the K- map and the Quine McClusky tabular methods. a. On your K-map, first mark all pairs of 1s, then groups of 4. From your K-map, determine which prime implicants are essential & list them. b. How many pairs of 1s does the Quine McClusky process generate? Are they the same pairs you found on your K-map? Which prime implicants does Quine McClusky produce? Are they the...
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...
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map. Show your map and groups and write the simplest equation using proper variable names. F(W,X,Y,Z) = m (0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14)
A digital logic circuit realizing the function F that has four inputs A, B, C, and D. It only accepts inputs in the format: the three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the MSB and C being the LSB, and the input D has to be an odd-parity bit (i.e., the value of D is such that the number of l’s in the 4 inputs A, B, C,...
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