HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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:

Write the symbolic form of the following switching circuit construct its switching table and interpret it.

Write the symbolic form of the following switching circuit construct its switching table and interpret it.

Obtain the simple logical expression of the following. Draw the corresponding switching circuit.

p ∨ (q ∧ ∼ q)

Obtain the simple logical expression of the following. Draw the corresponding switching circuit.

(∼ p ∧ q) ∨ (∼ p ∧ ∼ q) ∨ (p ∧ ∼ q)

Obtain the simple logical expression of the following. Draw the corresponding switching circuit.

[p ∨ ( ∼ q) ∨ (∼ r)] ∧ [p ∨ (q ∧ r)]

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:

Express the following circuit in the symbolic form. Prepare the switching table:

Simplify the following so that the new circuit has a minimum number of switches. Also, draw the simplified circuit.

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.

Simplify the given circuit by writing its logical expression. Also, write your conclusion.