This set of Switching Circuits Multiple Choice Questions & Answers (MCQs) focuses on “Boolean Algebra Basic Theorems”.

1. Evaluate the boolean expression A + 0.

a) A

b) 0

c) A’

d) 1

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A + 0 |
---|---|

0 | 0 |

1 | 1 |

From the above truth table, it can be verified that A + 0 = A.

2. Evaluate the Boolean expression A.1.

a) 1

b) A’

c) A

d) 0

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A.1 |
---|---|

0 | 0 |

1 | 1 |

From the above table it can be verified that A.1 = A.

3. The Boolean expression A + 1 evaluates to A.

a) True

b) False

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A + 1 |
---|---|

0 | 1 |

1 | 1 |

From the above table it can be verified that A + 1 = 1. Hence the answer is False.

4. The Boolean expression A.0 evaluates to 0.

a) True

b) False

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A.1 |
---|---|

0 | 0 |

1 | 0 |

From the above table it can be verified that A.0 = 0. Hence the answer is True.

5. Evaluate the Boolean expression A + A.

a) A

b) 1

c) 0

d) A’

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A + A |
---|---|

0 | 0 |

1 | 1 |

From the above table it can be verified that A + A = A.

6. Evaluate the Boolean expression A.A.

a) A

b) 1

c) 0

d) A’

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A.A |
---|---|

0 | 0 |

1 | 1 |

From the above table it can be verified that A.A = A.

7. Evaluate the Boolean expression A.A’.

a) A

b) 1

c) 0

d) A’

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A’ | A.A’ |
---|---|---|

0 | 1 | 0 |

1 | 0 | 1 |

From the above table it can be verified that A.A’ = 0.

8. Evaluate the Boolean expression A + A’.

a) A

b) 1

c) 0

d) A’

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A’ | A + A’ |
---|---|---|

0 | 1 | 1 |

1 | 0 | 1 |

From the above table it can be verified that A + A’ = 1.

9. Evaluate the Boolean expression (A’)’.

a) A

b) 1

c) 0

d) A’

View Answer

Explanation: The answer to the above question can be verified using the following truth table.

A | A’ | (A’)’ |
---|---|---|

0 | 1 | 0 |

1 | 0 | 1 |

From the above table it can be verified that (A’)’ = A.

10. Evaluate the Boolean expression A + B + C’ + D +1.

a) A

b) 1

c) 0

d) C’

View Answer

Explanation: As any Boolean expression ORed with 1 result in 1, the answer is 1.

In other words, using the property A + 1 = 1, we get the answer.

**Sanfoundry Global Education & Learning Series – Switching Circuits**.

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