Electronics and Communication Engineering - Exam Questions Papers - Discussion

Discussion Forum : Exam Questions Papers - Exam Paper 11 (Q.No. 16)
16.
The Boolean expression B⊕E is a simplified version of expression ABE + BCDE+ BC D E + A B D E + B C D E + A B D E then which of the following choice is correct?
  1. don't care conditions doesn't exist
  2. don't care conditions exist
  3. d( 16, 18, 20, 23, 27, 29) is the set of don't care conditions
  4. d( 16, 20, 22, 27, 29) is the set of don't care conditions
1 only
2 and 3 only
2 and 4 only
data insufficient
Answer: Option
Explanation:

Reduced form of the given expression is B ⊕ E:

A BE + BCDE + B C D E + A B D E + B C D E + A B D E

Now we draw a K-map for 5 variables :

Since we can realize B ⊕ E i.e. BE + B E as shown above, the K-map drawn should have don't care conditions that will be taken into consideration and will be grouped; along with l's.

We have don't care conditions with a set d( 16, 20, 22, 27, 29).

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