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
2
3
4
5
Answer: Option
Explanation:

The min terms are ABC + ABC + AB C + ABC + ABC.

Discussion:
30 comments Page 1 of 3.

Dhammapriya said:   7 years ago
First of all, we need to convert a given logical expression into the standard form for minterms called canonical form. Ex. A+BC = A(B+B')(C+C') + BC(A+A').

Now solve this expression with the help of Boolean Laws you will arrive at A+BC = ABC + ABC' + AB'C + AB'C' + A'BC.
(21)

Cherish said:   5 years ago
@Mohiyuva it's all about "and gate" & "or gate".


Truth Table:

A -- B -- C -- Output
0 -- 0 -- 0 -- F
0 -- 0 -- 1 -- F
0 -- 1 -- 0 -- F
0 -- 1 -- 1 -- T
1 -- 0 -- 0 -- T
1 -- 0 -- 1 -- T
1 -- 1 -- 0 -- T
1 -- 1 -- 1 -- T.

5 true. So 5 minterm.
(14)

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.
(3)

Aneesh.M said:   10 years ago
A+BC = A (B+B') (C+C') + BC (A+A').

= (AB+AB') (C+C') + ABC + A'BC.

= ABC + ABC' + AB'C + AB'C' + ABC + A'BC.

= ABC + ABC' + AB'C + A'BC' + A'BC.

Since (ABC + ABC = ABC).

Hence 5 minterms.
(2)

Siva said:   1 decade ago
x+x* = 1.
(1)

Aparna said:   7 years ago
I can't understand in truth table form. So please explain it.
(1)

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)

Diksha said:   8 years ago
Using k- map, it will be easy to solve these kind of problems.
(1)

RJ PHENOMENAL said:   8 years ago
We have to express it in standard form.
(1)

Adil Tanveer said:   7 years ago
If we obtain the minterm then how can we obtain max term?

Please, anyone explain it.


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