For the Boolean function: F = xy’z +x’y’z + w’xy + wx’y + wxy a)determine the...
For the Boolean function: F = xy’z
+x’y’z + w’xy + wx’y + wxy
a)determine the k-map
b)write the new reduced equation
c) write the corresponding truth table
Homework Answers
-
a) Given F = xy’z+x’y’z+w’xy+wx’z+wxy
b)
The Reduced SOP is F = wz+y’z+xy
c) Truth Table:
w
x
y
z
y’
y’z
xy
wz
F =wz+y’z+xy
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
1
1
1
0
0
1
0
1
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
1
1
0
0
0
1
0
0
0
0
1
0
0
1
1
1
0
1
1
1
0
1
0
0
0
0
0
0
1
0
1
1
0
0
0
1
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
1
0
1
1
1
1
1
0
0
0
1
0
1
1
1
1
1
0
0
1
1
1
Add Answer to:
For the Boolean function: F = xy’z
+x’y’z + w’xy + wx’y + wxy
a)determine the...
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y +...
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...
I need help with this assignment on Boolean Expression: Create a truth table for this function:...
I need help with this assignment on Boolean Expression: Create a truth table for this function: F(a, b, c, d) = A'B'D + A'B + ACD Then use a K-Map to reduce the given function and create a truth table for the reduced funtion also(give detail Explanation) Please Implement both original function and the reduce function using logic gates on a multisim Note that the outputs should track if the circuits are designed and implemented correctly. Thank you
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth...
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth table. (b) Draw the logic diagram of the original function using 2-input gates. (c) Simplify the function using K-Map. (d) Draw the logic diagram of the simplified function (using 2-input gates). (e) Draw the logic diagram of the simplified function using only 2-input NAND gates.
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...
1- Write the unsimplified POS Boolean equation for F from the Truth Table. F = 2-...
1- Write the unsimplified POS Boolean equation for F from the
Truth Table.
F =
2- Write the unsimplified SOP Boolean equation for F' from the
Truth Table.
F' =
3- Using only DeMorgan’s Theorem (show steps) and the
unsimplified POS Boolean equation,
find.
maxterms minterms 0 1 0 1 0 1 10 101
0 0 0 0 (a) Write the Boolean equation for the output X of the truth...
0 0 0 0 (a) Write the Boolean equation for the output X of the truth table above (b) By using K-map, determine the expression of X in the form of product-of-sum and sum of-product. (c) Draw the logic circuits representing the expression of X in the form of product-of-sum and sum-of-product. Determine which configuration gives the lowest cost solution.
Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic...
Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic diagram using the original Boolean expression. c.Simplify the algebraic expression using Boolean algebra. d.List the truth table of the function from the simplified expression and show that it is the same as the truth table in part (a). e.Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b).
Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write...
Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write the truth table of F. B) Draw the K-map for F. C) Using the K-map, write the fully simplified Sum-Of-Products expression for F. D) Write the fully simplified product-of-sums expression for F
Find the minterms of the following Boolean expressions by first plotting each function in a map:...
Find the minterms of the following Boolean expressions by first plotting each function in a map: (a) xy + yz + xy’z (b) C’D + ABC’ + ABD’ + A’B’D (c) wyz + w’x’ + wxz’ (d) A’B + A’CD + B’CD + BC’D
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)
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth table. (b) Draw the logic diagram of the original function using 2-input gates. (c) Simplify the function using K-Map. (d) Draw the logic diagram of the simplified function (using 2-input gates). (e) Draw the logic diagram of the simplified function using only 2-input NAND gates.
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...
1- Write the unsimplified POS Boolean equation for F from the
Truth Table.
F =
2- Write the unsimplified SOP Boolean equation for F' from the
Truth Table.
F' =
3- Using only DeMorgan’s Theorem (show steps) and the
unsimplified POS Boolean equation,
find.
maxterms minterms 0 1 0 1 0 1 10 101
0 0 0 0 (a) Write the Boolean equation for the output X of the truth table above (b) By using K-map, determine the expression of X in the form of product-of-sum and sum of-product. (c) Draw the logic circuits representing the expression of X in the form of product-of-sum and sum-of-product. Determine which configuration gives the lowest cost solution.
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)
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