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KVS PGT CS 2017 official paper

Option 3 : The OR function of several AND functions

ST 1: General Knowledge

5966

20 Questions
20 Marks
20 Mins

**Concept:**

Sum of product(SOP) is a form of expression in boolean algebra where various product (AND) terms are combined together though sum (OR).

__ Explanation__:

Suppose we have two variables A and B and one output function F defined on them. Output is true when any input is true.

Truth table for this :

A |
B |
F |

0 | 0 | 0 |

0 | 1 | 1 |

1 | 0 | 1 |

1 | 1 | 1 |

In the sum of product form F is represented as:

A'B + AB' + AB

Therefore the term sum-of-product in Boolean algebra means OR function of several AND functions.