Question

Are the following two Boolean expressions/functions f and g equivalent? Show how you arrived at the answer:

F = ABC + A’BC’

G = (AC’ + A’C)B

Answer #1

**Ans)**

**No** functions f and g are **NOT**
equivalent as shown below

Just see that both expressions cannot be minimized further ,by just observation they are not equal

or you can prove by truth table as below

A | B | C | F=ABC+A'BC' | G=(AC'+A'C)B |

0 | 0 | 0 | 0 | 0 |

0 | 0 | 1 | 0 | 0 |

0 | 1 | 0 | 1 | 0 |

0 | 1 | 1 | 0 | 1 |

1 | 0 | 0 | 0 | 0 |

1 | 0 | 1 | 0 | 0 |

1 | 1 | 0 | 0 | 1 |

1 | 1 | 1 | 1 | 0 |

By comparing the columns F and G we can see both are not equal

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