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A function F(A,B,C) is defined by three boolean variable A,B,C when expressed as some of product is given by The POS of the function is

Question

A function F(A,B,C) is defined by three boolean variable A,B,C when expressed as some of product is given by The POS of the function is

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Solution

To find the POS (Product of Sums) expression of the function F(A,B,C), we need to follow these steps:

  1. Start by creating a truth table for the function F with all possible combinations of inputs A, B, and C.

  2. Determine the output value of F for each combination of inputs.

  3. Identify the combinations of inputs where the output value of F is 1.

  4. For each combination where F is 1, create a sum term using the complement of the inputs.

  5. Combine all the sum terms using the logical OR operator to obtain the POS expression of the function F.

By following these steps, you will be able to find the POS expression of the given function F(A,B,C).

This problem has been solved

Similar Questions

The Boolean expression F(A,B,C) = ∑m(0,3,5,6)

Consider the Boolean function of four variables: f(w,x,y,z) = ∑(1,3,4,6,9,11,12,14) The function is: (A) Independent of one variables(B) Independent of two variables(C) Independent of three variables(D) Dependent on all the variables

implify the following Boolean functions using three-variable maps.a. f(r,y,z) • I (0, 1,5, 7)b. f(r.y.z) a I (1,2,3,6,7)c. F(r, y.z) • I. (3,5,6, 7)cl. f(J\,B, C) - I (0,2.3.4.6)1·9. Simplify the following Boolean functlons using four-variable maps.a. F(A, 8, C, D) • I (4, 6, 7, 15)b. F(J\, B. C,D) = I (3, 7. \1, 13. 14. 15)c. F(J\, B, C, D) - I (0,1, 2, 4,5, 7, 11, 15)d. F(A. B. c. D) - I (0, 2, 4, 5, 6, 7, 8, 10, 13, IS)

The simplified form of the Boolean expression F = A(B+C(AB+AC)’) is

Name an unary Boolean function:Answer: Question 1

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