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Discrete Mathematics – Q&A

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write the following boolean expressions in an equivalent sum of product canonical form in three variables x1, x2, and x3:
1. x1*x2 ?
2. x1⊕x2 ?
3. (x1⊗X2)'*X3
Answered!
Simplify the following Boolean function using k -map
F = A’C + A’B + AB’C + BC
Answered!
Expand the following Boolean functions into their canonical form:
i. f(X,Y,Z)=XY+YZ+X'Z+X'Y'
ii. f(X,Y,Z)=XY+X'Y'+X'YZ
Answered!
Expand the following Boolean functions into their canonical form:
i. f(X,Y,Z)=XY+YZ+ X Z+ X Y
ii. f(X,Y,Z)=XY+ X Y + X YZ
Answered!
If we have 100 people (80 male and 20 female) and we need to choose a committee.
The committee must contain exactly 2 females, then how many different 5 person committees are possible?
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In a certain village of 1000 houses, 750 have a car, 800 have a refrigerator, 850 have a telephone and 950 have a radio. What is the least number of houses that have all four?
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How many bit strings of length five either begin or end with a 1?
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How many maximum number of bit strings of length five are possible?
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Roxanne sits and writes roxyroxyroxyroxyroxy... If she continues, determine the 2134th letter she will write down
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write the following sentence in predicate calculus.
Every teacher takes care of his student.john is the teacher and James is his student.
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