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The minimum number of gate inputs required to implement the minimized output of the expression given by f are:
f = ∑m (1 ,5 , 6 , 12 , 13 , 14) + d(2, 4)
  • a)
    9
  • b)
    7
  • c)
    10
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The minimum number of gate inputs required to implement the minimized ...
Given, f = ∑m (1 ,5 ,6 ,12 ,13 ,14) + d(2 ,4) (In SOP form)
= πM (0, 3, 7, 8, 9, 10, 11, 15)-d(2, 4) (In POS form)
The K-map for SOP and POS expressions of output are shown below.


In SOP form output is

In POS form output is

The circuit realization for output fusing SOP and POS forms respectively are shown below:

(Using SOP output)

(Using POS output)
We see that total number of gate inputs required using SOP output is 10 while that for POS output is 9. Hence, minimum number of inputs required to implement the minimized expression of output is 9 (using POS form).
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Most Upvoted Answer
The minimum number of gate inputs required to implement the minimized ...
To determine the minimum number of gate inputs required to implement the minimized output of the expression f, we need the actual expression. Please provide the expression for f.
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