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Consider a Boolean expression Ex,y,z=(x^-z)v(y^z). Find disjunctive and conjunctive normal form.
- Consider a Boolean expression Ex,y,z=xzv(y^z). Find disjunctive and conjunctive normal form.
A rectangular field of area (81m*49m) is equal to the area of square field .find the length of one side of square field
One hundred students were asked whether they had taken course in any of the three areas, CSE,
ME and EE. The results were.
45 had taken CSE, 38 had taken ME, 21 had taken EE, 18 had taken CSE and ME, 9 had
taken CSE and EE, 4 had taken ME and EE and 23 had taken no courses in any of the three
areas.
(i) Draw a Venn diagram that will show the results of the survey?
(ii) Determine the number K of students who had taken courses in exactly?
b) One of the areas b) Two of the areas c) Nor in CSE, nor in ME but in EE
Theorem 2:-
An (m,n) encoding ∅ corrects
K or fewer errors if and only if the minimum distance between encoded words is atleast 2K+1
Proof:-
Suppose that ∅ corrects K or fewer errors x is an encoded word of distance 1≤j≤k from the encoded word y.
Theorem 1:-
An (m,n) encoding ∅ detects K or fewer errors if the minimal distance between encoded words is atleast K+1
Proof:-
Assume that ∅ detects all sets of K of fewer errors
With example in mathematical foundations of computer science
What and Define The Hamming Metric with example in mathematical foundations of computer science
F(x)=1-2x
A school organized a book fair and in this book fair a book seller is selling his books under the following rules:
There are three different packages available.
First package contains 2 Islamic books, 2 Science books and 2 Geography books, second package contains 2 Islamic books, 4 Science books and 1 Geography books and third package contains 3 Islamic books, 4 Science books and 5 Geography books. The book fair has a total of 250 Islamic books, 300 Science books, and 270 Geography books. First package makes a profit of Rs. 120, second package makes Rs.100 and third package makes Rs.270 per pack.
How many packs should be made to maximize book fair profits?
What will the profit be?
Trace the curve y2=(x-a)(x-b)(x-c) with a, b, and c are all positive.
