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What is the maximum number of different Boolean functions involving n Boolean variables?
- a)n2
- b)2n
- c)22n
- d)2n2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What is the maximum number of different Boolean functions involving n ...
No of inputs sequences possible for a n variable Boolean function = 2n Each input sequence can give either T or F as output ( 2 possible values ) So, Total no of Boolean functions are -
2X2X2X2X2X2X.............X2X2X2X2X2X2 <-------------------- 2n Times --------------> 22n
2X2X2X2X2X2X.............X2X2X2X2X2X2 <-------------------- 2n Times --------------> 22n
Most Upvoted Answer
What is the maximum number of different Boolean functions involving n ...
Maximum number of different Boolean functions involving n Boolean variables
Explanation:
Boolean function is a mathematical function that maps binary values of one or more variables to a binary value. A Boolean variable can take only two values, 0 and 1.
The number of different Boolean functions involving n Boolean variables can be obtained by counting the number of possible truth tables. A truth table is a table that lists all the possible combinations of input values for a Boolean function and the corresponding output values.
For n Boolean variables, there are 2^n possible combinations of input values. Each input value can take either 0 or 1. Therefore, the total number of different Boolean functions involving n Boolean variables is 2^(2^n).
Answer:
The maximum number of different Boolean functions involving n Boolean variables is 2^(2^n). Therefore, the correct option is C.
Explanation:
Boolean function is a mathematical function that maps binary values of one or more variables to a binary value. A Boolean variable can take only two values, 0 and 1.
The number of different Boolean functions involving n Boolean variables can be obtained by counting the number of possible truth tables. A truth table is a table that lists all the possible combinations of input values for a Boolean function and the corresponding output values.
For n Boolean variables, there are 2^n possible combinations of input values. Each input value can take either 0 or 1. Therefore, the total number of different Boolean functions involving n Boolean variables is 2^(2^n).
Answer:
The maximum number of different Boolean functions involving n Boolean variables is 2^(2^n). Therefore, the correct option is C.
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What is the maximum number of different Boolean functions involving n Boolean variables?a)n2b)2nc)22nd)2n2Correct answer is option 'C'. Can you explain this answer?
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