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HSC Science (Electronics) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Give an alternative equivalent simple circuit for the following circuit:

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Give an alternative equivalent simple circuit for the following circuit:

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

p ∨ (q ∧ ∼ q)

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

(∼ p ∧ q) ∨ (∼ p ∧ ∼ q) ∨ (p ∧ ∼ q)

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[p ∨ ( ∼ q) ∨ (∼ r)] ∧ [p ∨ (q ∧ r)]

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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)

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
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Check whether the following switching circuits are logically equivalent - Justify.

(i)

(ii)

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Check whether the following switching circuits are logically equivalent - Justify.

(i)

(ii)

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
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Give alternative arrangement of the switching following circuit, has minimum switches.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Simplify the following so that the new circuit.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the following switching circuit in symbolic form and construct its switching table. Write your conclusion from the switching table.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

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

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Construct the switching circuit for the following logical statement:

(p ∨ ∼ q) ∨ (q ∧ r). Also construct the switching circuit for its simplified form.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Find the alternative arrangement using minimum switches for the following switching circuit.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined
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