Combining Boolean Functions - Minterms, Maxterms - GATE PYQs & Practice Questions | Digital Logic

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Combining Boolean Functions:
4.3 Given F1 = Σ m(0, 4, 5, 6) and F2 = Σ m(0, 3, 6, 7) find the minterm expression
for F1 + F2. State a general rule for finding the expression for F1 + F2 given the
minterm expansions for F1 and F2. Prove your answer by using the general form of
the minterm expansion.
4.23 Given F1 = Π M(0, 4, 5, 6) and F2 = Π M(0, 4, 7), find the maxterm expansion for F1F2.
State a general rule for finding the maxterm expansion of F1F2 given the maxterm
expansions of F1 and F2. Prove your answer by using the general form of the maxterm expansion.
4.24 Given F1 = Π M(0, 4, 5, 6) and F2 = Π M(0, 4, 7), find the maxterm expansion for
F1 + F2. State a general rule for finding the maxterm expansion of F1 + F2, given the maxterm expansions of F1 and F2. Prove your answer by using the general form of the maxterm expansion.

(a) The Boolean function E = F1 + F2 contains the sum of the minterms of F1 and F2.
(b) The Boolean function G = F1F2 contains only the minterms that are common to F1 and F2.

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Content of this video:
00:00:00 - Lecture Starts - Combining Boolean Functions
00:00:14 - Recap - Sum of Minterms, Product of Maxterms
00:01:57 - Introduction to Combining Boolean Functions
00:04:04 - Combining Boolean Functions wrt Minterms - Example 1
00:31:56 - Combining Boolean Functions wrt Maxterms - Example 1
00:51:36 - Combining Boolean Functions wrt Minterms - Example 2
01:00:48 - Combining Boolean Functions wrt Maxterms - Example 2
01:10:29 - Practice Question 1 - Finding the Minterm Expression for F1 + F2
01:13:08 - Practice Question 2 - Finding the Maxterm Expression for F1F2
01:15:58 - Practice Question 1 - Finding the Maxterm Expression for F1 + F2
01:18:37 - Conclusions, Formulas, Results of Combining Boolean Functions wrt Minterms, Maxterms
01:34:45 - GATE CSE 2024 - sum-of-minterms, 4-variable functions
https://gateoverflow.in/422857/gate-c...
01:45:04 - GATE CSE 2008 - canonical sum of products form
https://gateoverflow.in/406/gate-cse-...

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