HSC Science (Electronics) 12th Board ExamMaharashtra State Board
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for Construct the Simplified Circuit for the Following Circuit - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

Login
Create free account


      Forgot password?

Question

Construct the simplified circuit for the following circuit:

Solution

Let p : switch S1 is closed
     q : switch S2 is closed
      r : switch S3 is closed
  ~ p : switch S1 is open
  ~ q : switch S2 is open
   ~ r : switch S3 is open
The symbolic form of the given circuit
[p ∧ (q ∨ r)] ∨ [~ r ∧ ~ q ∧ p] 
= p ∧ [(q ∨ r) ∨ (~ q ∧ ~ r) ….(Distributive law)
= p ∧ [(q ∨ r) ∨ ~ (q  r)] ….(De Morgan’s law)
= p ∧ T ….(Compliment law)
= p ….(Identity law)
The new simplified circuit is

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (October) (with solutions)
Question 3.1.1 | 3.00 marks
Solution for question: Construct the Simplified Circuit for the Following Circuit concept: Mathematical Logic - Application - Introduction to Switching Circuits. For the courses HSC Science (Electronics), HSC Science (General) , HSC Arts, HSC Science (Computer Science)
S
View in app×