# Digital Electronics - Combinational Logic Circuits - Discussion

Discussion Forum : Combinational Logic Circuits - General Questions (Q.No. 3)

3.

Which of the circuits in figure (a to d) is the sum-of-products implementation of figure (e)?

Discussion:

6 comments Page 1 of 1.
Logesh said:
7 years ago

I can't get cleared, Somebody explain it in detail.

(1)

Souradip Guha said:
7 years ago

From Fig.(e),

A.B.(C.D' + E.F)

= A.B.C.D' + A.B.E.F

Fig (a) is excluded as AND gate has 6 inputs,

Fig (b) is excluded as it is the product of the sums,

Fig (c) is excluded as OR gate has 3 AND inputs,

So,

Fig (d) is the correct answer as it is the sum of products.

A.B.(C.D' + E.F)

= A.B.C.D' + A.B.E.F

Fig (a) is excluded as AND gate has 6 inputs,

Fig (b) is excluded as it is the product of the sums,

Fig (c) is excluded as OR gate has 3 AND inputs,

So,

Fig (d) is the correct answer as it is the sum of products.

Freedom said:
8 years ago

The option d is correct.

Chandrasekhar lanka said:
9 years ago

Here, at d option contain the OR gate followed by the AND gates so SOP form.

Shivanand Lecturer said:
1 decade ago

Since we get output of e ckt as (c*^d+e*f)*a.b multiply we get abc^d+abef which sum of product form.

HARI said:
1 decade ago

A.B.C.^D + A.B.E.F IS THE SUM OF PRODUCT

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