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The orange box in the below figure consists of a minimum complexity circuit that uses only AND, OR and NOT gates. The function f(x,y,z) = 1 where any of the following conditions are satisfied :
  • x is not equal to y and z is grounded
  • y is equal to z , and x is set low
  • x is equal to y , y is equal to z but x not equal to z
 
Then which of the following equations leads to correct design for the minimum complexity circuit:
  • a)
    x'y + xy'
  • b)
    x + y'z
  • c)
    y'z' + x'y
  • d)
    y'z' + x'y'
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The orange box in the below figure consists of a minimum complexity ci...
Construct the truth table using the above rules
Point 3 is not logically correct, hence no value set high in the truth table against point3.
Now use K - Map to realize the minimized Boolean expression :
The required expression is : y'z' + x'y (option c)
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The orange box in the below figure consists of a minimum complexity circuit that uses only AND, OR and NOT gates. The function f(x,y,z) = 1 where any of the following conditions are satisfied : x is not equal to y and z is grounded y is equal to z , and x is set low x is equal to y , y is equal to z but x not equal to zThen which of the following equations leads to correct design for the minimum complexity circuit:a)xy + xyb)x + yzc)yz + xyd)yz + xyCorrect answer is option 'C'. Can you explain this answer?
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The orange box in the below figure consists of a minimum complexity circuit that uses only AND, OR and NOT gates. The function f(x,y,z) = 1 where any of the following conditions are satisfied : x is not equal to y and z is grounded y is equal to z , and x is set low x is equal to y , y is equal to z but x not equal to zThen which of the following equations leads to correct design for the minimum complexity circuit:a)xy + xyb)x + yzc)yz + xyd)yz + xyCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The orange box in the below figure consists of a minimum complexity circuit that uses only AND, OR and NOT gates. The function f(x,y,z) = 1 where any of the following conditions are satisfied : x is not equal to y and z is grounded y is equal to z , and x is set low x is equal to y , y is equal to z but x not equal to zThen which of the following equations leads to correct design for the minimum complexity circuit:a)xy + xyb)x + yzc)yz + xyd)yz + xyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The orange box in the below figure consists of a minimum complexity circuit that uses only AND, OR and NOT gates. The function f(x,y,z) = 1 where any of the following conditions are satisfied : x is not equal to y and z is grounded y is equal to z , and x is set low x is equal to y , y is equal to z but x not equal to zThen which of the following equations leads to correct design for the minimum complexity circuit:a)xy + xyb)x + yzc)yz + xyd)yz + xyCorrect answer is option 'C'. Can you explain this answer?.
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