Electronics and Communication Engineering - Digital Electronics - Discussion
Discussion Forum : Digital Electronics - Section 1 (Q.No. 12)
12.
In the expression A + BC, the total number of minterms will be
Answer: Option
Explanation:
The min terms are ABC + ABC + AB C + ABC + ABC.
Discussion:
30 comments Page 2 of 3.
Mayur said:
9 years ago
Thank you @Sharon.
Naresh said:
9 years ago
Is it like A + BC = (A + B) (A + C).
Then the number of min terms are 2, right?
Then the number of min terms are 2, right?
Seetha kumari said:
9 years ago
How to find the minterm?
A + BC = A (B + B') (C + C') + BC (A + A').
= A (BC + BC '+ B'C + B'C') + BCA + BCA',
= ABC + ABC'+ AB'C + AB'C' + BCA + BCA',
= 2ABC + ABC' + AB'C + AB'C' + A'BC.
A + BC = A (B + B') (C + C') + BC (A + A').
= A (BC + BC '+ B'C + B'C') + BCA + BCA',
= ABC + ABC'+ AB'C + AB'C' + BCA + BCA',
= 2ABC + ABC' + AB'C + AB'C' + A'BC.
(3)
Padmaja said:
9 years ago
A B C BC A+BC
1 1 1 1 1
1 1 0 0 1
1 0 1 0 1
1 0 0 0 1
0 1 1 1 1
0 1 0 0 0
0 0 1 0 0
0 0 0 0 0
Write the expressions for true values i.e. for 1 values.
First five are true values.
ABC + ABC' + AB'C + AB'C' + A'BC.
1 1 1 1 1
1 1 0 0 1
1 0 1 0 1
1 0 0 0 1
0 1 1 1 1
0 1 0 0 0
0 0 1 0 0
0 0 0 0 0
Write the expressions for true values i.e. for 1 values.
First five are true values.
ABC + ABC' + AB'C + AB'C' + A'BC.
(1)
Mrunal said:
9 years ago
How we can find max terms for the same question?
Deepshikha said:
8 years ago
Yes, @Padmaja.
If we want to find max terms of the same function then in the above expression, we just have to write the expression for the false values (0). So we get three expressions that is A'B'C'+A'B'C+A'BC'.
If we want to find max terms of the same function then in the above expression, we just have to write the expression for the false values (0). So we get three expressions that is A'B'C'+A'B'C+A'BC'.
Tamil said:
8 years ago
Thank you @Padmaja.
Your explanation is very helpful.
Your explanation is very helpful.
Asim said:
8 years ago
Thanks for the discussion.
RJ PHENOMENAL said:
8 years ago
We have to express it in standard form.
(1)
Diksha said:
8 years ago
Using k- map, it will be easy to solve these kind of problems.
(1)
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