New Semester
Started
Get
50% OFF
Study Help!
--h --m --s
Claim Now
Question Answers
Textbooks
Find textbooks, questions and answers
Oops, something went wrong!
Change your search query and then try again
S
Books
FREE
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Tutors
Online Tutors
Find a Tutor
Hire a Tutor
Become a Tutor
AI Tutor
AI Study Planner
NEW
Sell Books
Search
Search
Sign In
Register
study help
business
logic functions and equations
Logic Functions And Equations Examples And Exercises 1st Edition Bernd Steinbach ,Christian Posthoff - Solutions
7 Repeat the subtasks 3 . . . 6 for the differential minimum of object number 6.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential operations of Exercise 4.6 and verify the results. Build the three differential operations of Exercise
6 Execute the PRP of the previous subtask.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential operations of Exercise 4.6 and verify the results. Build the three differential operations of Exercise 4.6 using the vectorial derivative
5 Write a PRP that calculates partial differentials of the function in object number 1 using their vectorial derivatives, calculated in the previous PRP, and verify the result.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential
4 Execute the PRP of the previous subtask.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential operations of Exercise 4.6 and verify the results. Build the three differential operations of Exercise 4.6 using the vectorial derivative
3 Write a PRP that calculates all vectorial derivatives using the partial differential, given in object number 5, and verify these results using vectorial derivatives of the function in object number 1.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the
2 Prepare TVLs for conjunctions dx3 dx4, dx3 dx4, dx3 dx4, and dx3 dx4, as objects number 30, . . . , 33, and VTs of x3, x4, and x3, x4 as objects number 34, 35, and 36.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential
1. Reload the TVL-system of Exercise 4.6 as the basis of all further calculations.Vectorial Differential Operations). Calculate all vectorial derivative operations based on the partial differential operations of Exercise 4.6 and verify the results. Build the three differential operations of
7 Verify (4.43) of [18]. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on the same variables as the given function, and verify basic
6 Verify (4.52) of [18]. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on the same variables as the given function, and verify basic
5 Calculate max(x3,x4) f(x) as object number 5, and show the Karnaugh map of the result. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on
4 Calculate min(x3,x4) f(x) as object number 4, and show the Karnaugh map of the result. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on
3 Calculate ∂f(x)∂(x3,x4) as object number 3, and show the Karnaugh map of the result. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend
2 Prepare VT x3, x4 as object number 2. Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on the same variables as the given function, and
Calculate all three vectorial derivatives of the function (4.7) with regard to (x3, x4) using the XBOOLE operations mentioned above, visualize the Karnaugh maps, observe that the vectorial derivatives depend on the same variables as the given function, and verify basic relations between these three
11 Verify (4.48) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 4, 3, and 5.
10 Verify (4.47) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 5, 3, and 4.
9 Verify (4.46) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 5, 4, and 3.
8 Verify (4.45) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 3 and 4.
7 Verify (4.44) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 3 and 5.
6 Verify (4.43) of [18] and emphasize the understanding of this relation by comparing Karnaugh map 4 and 5.
5 Calculate maxx4 f(x) as object number 5, and show the Karnaugh map of the result.
4 Calculate minx4 f(x) as object number 4, and show the Karnaugh map of the result.
3 Calculate ∂f(x)∂x4 as object number 3, and show the Karnaugh map of the result.
1 Solve the equation f(x1, x2, x3, x4) = 1 for function (4.7) and store the result as object number 1.
Calculate all three simple derivatives of the function (4.7) with regard to x4 using m-fold XBOOLE derivative operations for m = 1, visualize the Karnaugh maps, and verify the six relations (4.43), . . . , (4.48) of [18] between these three simple derivatives.
10 Verify (4.40) of [18].
9 Verify (4.36) of [18].
8 Calculate maxx4f(x) using the XBOOLE operation maxk, show the Karnaugh map of the result, and compare it with the Karnaugh maps of the given function and the result of subtask 7.
7 Calculate maxx4f(x) using the XBOOLE operation maxv, show the Karnaugh map of the result, and compare it with the Karnaugh map of the given function.
6 Calculate minx4f(x) using the XBOOLE operation mink, show the Karnaugh map of the result, and compare it with the Karnaugh maps of the given function and the result of subtask 5.
5 Calculate minx4f(x) using the XBOOLE operation minv, show the Karnaugh map of the result, and compare it with the Karnaugh map of the given function.
4 Calculate ∂f(x)∂x4 using the XBOOLE operation derk, show the Karnaugh map of the result, and compare it with the Karnaugh maps of the given function and the result of subtask 3.
3 Calculate ∂f(x)∂x4 using the XBOOLE operation derv, show the Karnaugh map of the result, and compare it with the Karnaugh map of the given function.
2 Prepare VT x4 as object number 2.
1 Solve the equation f(x1, x2, x3, x4) = 1 for the function (4.7) and store the result as object number 1.
11 Check whether d2(x3,x4)f(x) and ϑ(x3,x4)f(x) are the same function.
10 Check whether dx3f(x) and ϑx3f(x) are the same function.
9 Calculate both ϑx3f(x) as object number 40, and ϑ(x3,x4)f(x) as object number 41, and draw the associated graphs.
8 Execute this PRP and draw the graphs of both m-fold differential maximum operations.
7 Write a PRP that calculates both Maxx3 f(x) as object number 33, and Max2(x3,x4) f(x) as object number 37.
6 Execute this PRP and draw the graphs of both m-fold differential minimum operations.
5 Write a PRP that calculates both Minx3 f(x) as object number 23, and Min2(x3,x4) f(x) as object number 27.
4 Execute this PRP and draw the graphs of the two m-fold differentials.
3 Write a PRP that calculates both dx3f(x) as object number 13, and d2(x3,x4)f(x) as object number 17.
2 Prepare for further calculation the VTs 2: x3, 3: xf3, 4: x4, 5:xf4, and the TVLs for sequential to differential transformation, 6: for x3, and 7: for x4.
Calculate all four m-fold differential operations of the function (4.2) with regard to (x3) and (x3, x4), draw their graphs, compare these graphs with the graphs of the previous Exercise 4.6, and verify the relations between these m-fold differential operations
10 For the last two tasks the function of object number 1 could be used instead of the partial differential expansion F(x1, x2, x3, x4, dx3, dx4).Explain why!
9 Verify the right relation in (4.20) of [18] by means of a DIF-operation between the objects 1 and 7 and store the result as object number 22.
8 Verify the left relation in (4.20) of [18] by means of a DIF-operation between the objects 6 and 1 and store the result as object number 21.
7 Verify relation (4.21) of [18] by means of SYD-operations between the objects 5, 6, and 7 and store the result as object number 20.
6 Create the partial differential maximum Max(x3,x4) f(x) of (4.2) in sequential form as object number 10, apply the PRP for transformation into the differential form, copy the generated object from number 11 to object number 7, visualize the partial differential maximum of number 7 as graph, and
5 Create the partial differential minimum Min(x3,x4) f(x) of (4.2) in sequential form as object number 10, apply the PRP for transformation into the differential form, copy the generated object from number 11 to object number 6, visualize the partial differential minimum of number 6 as graph, and
4 Create the partial differential d(x3,x4)f(x) of (4.2) in sequential form as object number 10, apply the PRP for transformation into the differential form, copy the generated object from number 11 to object number 5, visualize the partial differential of number 5 as graph, and count the edges.
3 Write a PRP that transforms a differential operation in sequential form, given as object number 10 with regard to the variables (x3, x4), into a differential operation in differential form generated as object number 11.
2 Create the function f(x1, x2, xf3, xf4) by means of an appropriate PRP and store the orthogonal result as object number 4.
Solve the equation f(x1, x2, x3, x4) = 1 for the function (4.2) and store the result as object number 1.
5 Verify (4.11) of [18] using the total differential minimum of object number 6, the logic function of object number 1, and the total differential maximum of object number 7. Verify the partial order relation (4.11) of [18] using the results of Exercise 4.4, the total differential expansion F(x,
4 Verify (4.10) of [18] using the total differential maximum of object number 7 and the differential expansion in object number 31. Verify the partial order relation (4.11) of [18] using the results of Exercise 4.4, the total differential expansion F(x, dx) of (4.1) and the logic function itself
3 Verify (4.8) of [18] using the total differential minimum of object number 6 and the differential expansion in object number 31. Verify the partial order relation (4.11) of [18] using the results of Exercise 4.4, the total differential expansion F(x, dx) of (4.1) and the logic function itself
2 Reload the result of Exercise 4.4 and apply the written PRP in order to generate the total differential expansion of (4.1) based on definition (4.6)of [18]. Visualize the Karnaugh map of the generated total differential expansion in object number 31. Verify the partial order relation (4.11) of
1 Write a PRP that takes object number 1 as a logic function of three variables (x1, x2, x3) and generates its total differential expansion as object number 31. Verify the partial order relation (4.11) of [18] using the results of Exercise 4.4, the total differential expansion F(x, dx) of (4.1) and
8 Compare the Karnaugh maps with the results of Exercise 4.3 and verify relation (4.2) of [18] by means of SYD-operations between the objects 5, 6, and 7 and store the result as object number 8.Calculate all three total differential operations of function (4.1) using the transformation method and
7 Create the total differential maximum of (4.1) in sequential form as object number 10, apply the PRP for the transformation into the differential form, copy the generated object from number 11 to object number 7, visualize the total differential maximum of number 7 as Karnaugh map, and count the
6 Create the total differential minimum of (4.1) in sequential form as object number 10, apply the PRP for transformation into the differential form, copy the generated object from number 11 to object number 6, visualize the total differential minimum of number 6 as Karnaugh map, and count the
5 Create the total differential of (4.1) in sequential form as object number 10, apply the PRP for the transformation into the differential form, copy the generated object from number 11 to object number 5, visualize the total differential of number 5 as Karnaugh map, and count the values
4 Write a PRP for the transformation of a differential operation in sequential form given as object number 10 into a differential operation in differential form generated as object number 11.Calculate all three total differential operations of function (4.1) using the transformation method and
3 Create the function f(xf1, xf2, xf3) by means of an appropriate CCOoperation.Calculate all three total differential operations of function (4.1) using the transformation method and verify the solution.
2 Prepare VT x1, x2, x3 as object number 2 and VT xf1, xf2, xf3 as object number 3 as the basis for the change of columns.Calculate all three total differential operations of function (4.1) using the transformation method and verify the solution.
1 Solve the equation f(x1, x2, x3) = 1 for function (4.1) and store the result as object number 1.Calculate all three total differential operations of function (4.1) using the transformation method and verify the solution.
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].6 Verify relation (4.2) of [18] by means of SYD-operations between object 3, 4, and 5 and store the result as object number 6.
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].5 Calculate the total differential maximum Maxx f(x) by means of a UNIoperation as object number 5. Draw the associated graph and count the edges.
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].4 Calculate the total differential minimum Minx f(x) by means of an ISCoperation as object number 4. Draw the associated graph and count the edges.
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].3 Calculate the total differential dxf(x) by means of a SYD-operation as object number 3. Draw the associated graph and count the edges.
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].2 Change the expression of f(x) into f(x ⊕ dx) using the SBE dialog window of the XBOOLE-monitor and solve the equation f(x⊕dx) = 1 storing
Calculate all three total differential operations of the function f(x1, x2, x3) = x1(x2 ∨ x3) ⊕ x1(x2 ∼ x3) (4.1)and verify relation (4.2) of [18].1 Solve the equation f(x1, x2, x3) = 1 for function (4.1) and store the result as object number 1.
5 Execute the PRP e42 gsd.prp and compare whether the result of the inverse transformation (TVL 3) is the same function as the given function(TVL 1) by means of a SYD-operation.Transform the differential representation Gd(a, x, dx) of the graph calculated in Exercise 4.1 into its sequential
4 Write a PRP e42 gsd.prp that requires for the inverse transformation the TVL of Gs(a, x, xf) as object number 2 and stores the resulting TVL of Gd(a, x, dx) as object number 3 where intermediate objects may be stored as objects with numbers larger than 20.Transform the differential representation
3 Draw the graph of Gs(a, x, xf) stored as object number 2 and compare it with the graph of Exercise 4.1.Transform the differential representation Gd(a, x, dx) of the graph calculated in Exercise 4.1 into its sequential representation Gs(a, x, xf).Use the equation xfi = xi ⊕ dxi, i = 1, 2, 3, as
1 Write a PRP e42 gds.prp that requires the TVL of Gd(a, x, dx) as object number 1 and stores the resulting TVL of Gs(a, x, xf) as object number 2 where intermediate objects may be stored as objects with numbers larger than 10.Transform the differential representation Gd(a, x, dx) of the graph
Solve the MAXSAT-problem for the following conjunctive form:f = (a ∨ b ∨ c)(b ∨ c)(a ∨ d)(a ∨ d)(b ∨ c)(c ∨ d)(a ∨ c).2 Which disjunctions of the given function must be removed in order to make the equation f = 1 satisfiable?
Solve the MAXSAT-problem for the following conjunctive form:f = (a ∨ b ∨ c)(b ∨ c)(a ∨ d)(a ∨ d)(b ∨ c)(c ∨ d)(a ∨ c).1 Is the equation f = 1 for the given function satisfiable?
Let be given the function f by a conjunctive form with n = 5 clauses:f = (x1 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x1 ∨ x2 ∨ x3)(x1 ∨ x2 ∨ x3).3 Can this problem be solved by minimization?
Let be given the function f by a conjunctive form with n = 5 clauses:f = (x1 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x1 ∨ x2 ∨ x3)(x1 ∨ x2 ∨ x3).2 Will the solution change when any clauses can be used?
Let be given the function f by a conjunctive form with n = 5 clauses:f = (x1 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x2 ∨ x3 ∨ x4)(x1 ∨ x2 ∨ x3)(x1 ∨ x2 ∨ x3).1 Represent the same function by k clauses, k ≤ n where the clauses are taken from the existing set of clauses and no further clause
4 Show that the 5 questions on page 63 of this book can be answered without any special considerations.Let be given the following equation in conjunctive form:(x1 ∨ x3 ∨ x5 ∨ x6)(x3 ∨ x4 ∨ x5 ∨ x6)(x2 ∨ x4 ∨ x6)(x1 ∨ x3 ∨ x5) = 1.
3 Use the SBE operation of XBOOLE to solve this equation and compare this solution with the result of item 1.Let be given the following equation in conjunctive form:(x1 ∨ x3 ∨ x5 ∨ x6)(x3 ∨ x4 ∨ x5 ∨ x6)(x2 ∨ x4 ∨ x6)(x1 ∨ x3 ∨ x5) = 1.
2 Use the vectors that are not satisfying the respective single disjunctions and their union and the complement of this set to find the solution.Compare this solution with the result of item 1.Let be given the following equation in conjunctive form:(x1 ∨ x3 ∨ x5 ∨ x6)(x3 ∨ x4 ∨ x5 ∨
1 Use the orthogonal solution sets for the single disjunctions and the intersection of these sets to find the solution.Let be given the following equation in conjunctive form:(x1 ∨ x3 ∨ x5 ∨ x6)(x3 ∨ x4 ∨ x5 ∨ x6)(x2 ∨ x4 ∨ x6)(x1 ∨ x3 ∨ x5) = 1.
3 Transform the system of equations into a single equation and solve this equation using the operation SBE of the XBOOLE Monitor. Is the solution set equal to the solution set of item 1?Let be given the system of equations:h1 =x1 ⊕ x2, h2 =x1x2, f1 =h1 ⊕ x3, h3 =h1x3, f2 =h2 ∨ h3.
2 Solve the system of equations using directly the operation SBE of the XBOOLE Monitor. Is the solution set equal to the solution set of item 1?Let be given the system of equations:h1 =x1 ⊕ x2, h2 =x1x2, f1 =h1 ⊕ x3, h3 =h1x3, f2 =h2 ∨ h3.
1 Solve each of these equations separately and calculate the common solution using the partial solution sets.Let be given the system of equations:h1 =x1 ⊕ x2, h2 =x1x2, f1 =h1 ⊕ x3, h3 =h1x3, f2 =h2 ∨ h3.
Exercise 3.8 (Solution with Regard to Variables). Let be given the function f(x1, . . . , xk, xk+1, . . . , xn).1 What can be said about the number of solutions of the equation f(x) = 1 if it is required to solve this equation with regard to xk+1(x1, . . . , xk), . . . , xn(x1, . . . , xk).2 Is the
3 Are there constant functions x3(x1, x2) and x4(x1, x2) which are defined by f(x) = 0?Let be given f(x1, x2, x3x4) = x1x2x3x4 ∨ x1x2x3 ∨ x1x2x3x4 ∨ x1x2x3x4.
2 Are the functions x3(x1, x2) and x4(x1, x2) unique? How the function f(x1, x2, x3, x4) must change in order to make them unique (if they are not unique)?Let be given f(x1, x2, x3x4) = x1x2x3x4 ∨ x1x2x3 ∨ x1x2x3x4 ∨ x1x2x3x4.
1 Find functions x3(x1, x2) and x4(x1, x2) which are defined by f(x) = 1.Let be given f(x1, x2, x3x4) = x1x2x3x4 ∨ x1x2x3 ∨ x1x2x3x4 ∨ x1x2x3x4.
Exercise 3.6 (Implication). There are given the functions f(x) = x1 ⊕x2 ⊕ x3 ⊕ x4 ⊕ x5 and g(x) = x1x2x3x4x5 ∨ x1x2x3 ∨ x4x5 ∨ x3x5.1 Check whether f(x) ≤ g(x) holds for the given functions.2 How the functions f(x) or g(x) must change in order to satisfy the relation f(x) ≤ g(x).3
Exercise 3.5 (Inequality). Take the functions f(x) and g(x) of Exercise 3.3 and find the solutions of f(x) = g(x). Compare this solution set with the solution set of f(x) = g(x).\
Take the functions f(x) and g(x) of Exercise 3.3 and the solution vector (b1, b2, b3, b4, b5) = (10000) and compare successively the number of solutions of subequations:1 f(x1 = b1) = 1 and g(x1 = b1) = 1, 2 f(x1 = b1, x2 = b2) = 1 and g(x1 = b1, x2 = b2) = 1, 3 f(x1 = b1, x2 = b2, x3 = b3) = 1 and
3 Are the sets calculated in the previous two items identical?Let f(x1, x2, x3, x4, x5)=((((x1 ↓ x2) ↓ x3) ↓ x4) ↓ x5), g(x1, x2, x3, x4, x5)=((((x1|x2)|x3)|x4)|x5).
2 Solve the equation f(x) = g(x) directly using the procedure implemented in the XBOOLE Monitor.Let f(x1, x2, x3, x4, x5)=((((x1 ↓ x2) ↓ x3) ↓ x4) ↓ x5), g(x1, x2, x3, x4, x5)=((((x1|x2)|x3)|x4)|x5).
Showing 2200 - 2300
of 2473
First
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Step by Step Answers
Get 50% OFF
Claim Now
