Advertisements
Advertisements
प्रश्न
Construct the simplified circuit for the following circuit:
Advertisements
उत्तर
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
APPEARS IN
संबंधित प्रश्न
Construct the switching circuit for the following statement : [p v (~ p ∧ q)] v [(- q ∧ r) v ~ p]
Construct the switching circuit for the statement (p ∧ q) ∨ (~ p) ∨ (p ∧ ~ q).
Simplify the following circuit so that the new circuit has minimum number of switches. Also, draw the simplified circuit.
Express the following circuit in the symbolic form of logic and writ the input-output table.
Express the following circuit in the symbolic form of logic and write the input-output table.
Express the following circuit in the symbolic form of logic and write the input-output table.
Construct the switching circuit of the following:
(∼ p ∧ q) ∨ (p ∧ ∼ r)
Construct the switching circuit of the following:
(p ∧ q) ∨ [∼ p ∧ (∼ q ∨ p ∨ r)]
Construct the switching circuit of the following:
(p ∧ r) ∨ (∼ q ∧ ∼ r)] ∧ (∼ p ∧ ∼ r)
Construct the switching circuit of the following:
(p ∧ ∼ q ∧ r) ∨ [p ∧ (∼ q ∨ ∼ r)]
Construct the switching circuit of the following:
p ∨ (∼ p) ∨ (∼ q) ∨ (p ∧ q)
Construct the switching circuit of the following:
(p ∧ q) ∨ (∼ p) ∨ (p ∧ ∼ q)
Give an alternative equivalent simple circuit for the following circuit:
Give an alternative equivalent simple circuit for the following circuit:
Obtain the simple logical expression of the following. Draw the corresponding switching circuit.
(p ∧ q ∧ ∼ p) ∨ (∼ p ∧ q ∧ r) ∨ (p ∧ ∼ q ∧ r) ∨ (p ∧ q ∧ r)
Express the following circuit in the symbolic form. Prepare the switching table:
Check whether the following switching circuits are logically equivalent - Justify.
(i)
(ii)
Check whether the following switching circuits are logically equivalent - Justify.
(i)
(ii)
Give alternative arrangement of the switching following circuit, has minimum switches.
Simplify the following so that the new circuit.
Represent the following switching circuit in symbolic form and construct its switching table. Write your conclusion from the switching table.
A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of 5 cm/sec. Then area increased after 2 seconds is ______.
Symbolic form of the given switching circuit is equivalent to:
Simplify the given circuit by writing its logical expression. Also, write your conclusion.
Find the alternative arrangement using minimum switches for the following switching circuit.
