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A four-variable switching function has minterms m6 and m9. If the literals in these minterms are complemented, the corresponding minterm numbers are
- a)m3 and m0
- b)m9 and m6
- c)m2 and m0
- d)m6 and m9
Correct answer is option 'B'. Can you explain this answer?
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A four-variable switching function has minterms m6and m9. If the liter...
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Given Information:
- A four-variable switching function
- Minterms m6 and m9
To Find:
- Minterm numbers if the literals in m6 and m9 are complemented
Solution:
- A minterm is a product term in which all variables appear exactly once in either complemented or uncomplemented form
- The number of minterms in a function with n variables is 2^n
Complementing Minterms:
- Complementing a variable means changing the value of the variable from 0 to 1 or from 1 to 0
- If the literals in m6 and m9 are complemented, then m6 will become m9 and m9 will become m6
- For example, if m6 = A'B'CD, then complementing literals will result in m6' = AB'CD
Minterm Numbers:
- Minterm numbers are assigned in binary notation, where the rightmost bit represents the complementation of the first variable, the next bit represents the complementation of the second variable, and so on
- The minterm numbers for a four-variable function are as follows:
- m0 = 0000
- m1 = 0001
- m2 = 0010
- m3 = 0011
- m4 = 0100
- m5 = 0101
- m6 = 0110
- m7 = 0111
- m8 = 1000
- m9 = 1001
- m10 = 1010
- m11 = 1011
- m12 = 1100
- m13 = 1101
- m14 = 1110
- m15 = 1111
Answer:
- The given minterms are m6 and m9
- If the literals in m6 and m9 are complemented, then the corresponding minterm numbers will be m9 and m6
- Therefore, the correct answer is option B: m9 and m6
- A four-variable switching function
- Minterms m6 and m9
To Find:
- Minterm numbers if the literals in m6 and m9 are complemented
Solution:
- A minterm is a product term in which all variables appear exactly once in either complemented or uncomplemented form
- The number of minterms in a function with n variables is 2^n
Complementing Minterms:
- Complementing a variable means changing the value of the variable from 0 to 1 or from 1 to 0
- If the literals in m6 and m9 are complemented, then m6 will become m9 and m9 will become m6
- For example, if m6 = A'B'CD, then complementing literals will result in m6' = AB'CD
Minterm Numbers:
- Minterm numbers are assigned in binary notation, where the rightmost bit represents the complementation of the first variable, the next bit represents the complementation of the second variable, and so on
- The minterm numbers for a four-variable function are as follows:
- m0 = 0000
- m1 = 0001
- m2 = 0010
- m3 = 0011
- m4 = 0100
- m5 = 0101
- m6 = 0110
- m7 = 0111
- m8 = 1000
- m9 = 1001
- m10 = 1010
- m11 = 1011
- m12 = 1100
- m13 = 1101
- m14 = 1110
- m15 = 1111
Answer:
- The given minterms are m6 and m9
- If the literals in m6 and m9 are complemented, then the corresponding minterm numbers will be m9 and m6
- Therefore, the correct answer is option B: m9 and m6
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A four-variable switching function has minterms m6and m9. If the literals in these minterms are complemented, the corresponding minterm numbers area)m3 and m0b)m9 and m6c)m2 and m0d)m6 and m9Correct answer is option 'B'. Can you explain this answer?
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A four-variable switching function has minterms m6and m9. If the literals in these minterms are complemented, the corresponding minterm numbers area)m3 and m0b)m9 and m6c)m2 and m0d)m6 and m9Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A four-variable switching function has minterms m6and m9. If the literals in these minterms are complemented, the corresponding minterm numbers area)m3 and m0b)m9 and m6c)m2 and m0d)m6 and m9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A four-variable switching function has minterms m6and m9. If the literals in these minterms are complemented, the corresponding minterm numbers area)m3 and m0b)m9 and m6c)m2 and m0d)m6 and m9Correct answer is option 'B'. Can you explain this answer?.
Solutions for A four-variable switching function has minterms m6and m9. If the literals in these minterms are complemented, the corresponding minterm numbers area)m3 and m0b)m9 and m6c)m2 and m0d)m6 and m9Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
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