A switching circuit has four inputs as shown. A and B represent the first and se

Question

A switching circuit has four inputs as shown. A and B represent the first and second bit of a binary numberN1 and C and D represent the first and second bit of binary number N2. The output is to be 1 only if the product N1xN2 is less than or equal to 2. The minterm expansion of F is:

F=?m(0,1,2)

F=?m(0,1,2,3,4)

F=?m(0,1,2,3,4,5,6,8,9,12)

None of the above

F=?m(0,1,2)

F=?m(0,1,2,3,4)

F=?m(0,1,2,3,4,5,6,8,9,12)

None of the above

A switching circuit has four inputs as shown. A and B represent the first and second bit of a binary numberN1 and C and D represent the first and second bit of binary number N2. The output is to be 1 only if the product N1xN2 is less than or equal to 2. The minterm expansion of F is: F=?m(0,1,2) F=?m(0,1,2,3,4) F=?m(0,1,2,3,4,5,6,8,9,12) None of the above

Explanation / Answer

F=?m(0,1,2,3,4,5,6,8,9,12)

The Truth Table Would Be:-

A B N1 C D N2 N1*N2 Minterm 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 2 0 2 0 0 0 1 1 3 0 3 0 1 1 0 0 0 0 4 0 1 1 0 1 1 1 5 0 1 1 1 0 2 2 6 1 0 2 0 0 0 0 8 1 0 2 0 1 1 2 9 1 1 3 0 0 0 0 12

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