In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

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Answer 1

Textbook Question

Chapter A.6, Problem 1E

In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

Chapter A.6, Problem 1E, In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

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Answer 2

Textbook Question

Chapter A.6, Problem 1E

In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

Chapter A.6, Problem 1E, In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

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Answer 3

Textbook Question

Chapter A.6, Problem 1E

In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

Chapter A.6, Problem 1E, In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

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Answer 4

Textbook Question

Chapter A.6, Problem 1E

In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

Chapter A.6, Problem 1E, In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Answer 8

Expert Solution & Answer

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To find:

The logic statement corresponding to the network and write the conditions under which current can be flow from A to B.

Answer 12

Answer to Problem 1E

Solution:

The logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Answer 13

Explanation of Solution

Given:

The logic statement is

Finite Mathematics for the Managerial, Life, and Social Sciences, Chapter A.6, Problem 1E

Figure(1)

Approach:

When the two circuits p, q are in series, they will be in conjunction with each other i.e. p∧q.

When the two circuits p, q are in parallel, they will be in disjunction with each other i.e. p∨q.

Calculation:

The current will pass from point A to B if the following conditions are satisfied.

1. p is closed.

2. q is closed.

3. either r or s or both are closed.

Therefore, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Conclusion:

Hence, the logic statement corresponding to the network is p∧q∧(r∨s) and the conditions under which current can be flow from A to B are if and only if p is closed, q is closed and either r or s or both r and s are closed.

Answer 14

Ch. A.1 - In Exercises 114, determine whether the statement...Ch. A.1 - In Exercises 114, determine whether the statement...Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

In Exercises 1-5, find a logic statement corresponding to the network. Determine the conditions under which current will flow from A to B .

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