COMPUTER SCIENCE AND ENGINEERING
DIGITAL LOGIC
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Minimize the number of flip-flops in a digital circuits
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Minimize the number of gates only in a digital circuits
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Minimize the number of gates and fan in a digital circuits
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Design gates
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Detailed explanation-1: -K-map is a tool that is used to minimize the output expressions of 3, 4, 5 or 6 variables. It can provide two forms of expressions i.e. SOP (sum of product) and POS (product of sum) according to the need for the problem.
Detailed explanation-2: -We can minimize Boolean expressions of 2, 3, or 4 variables very easily using the K-map without using any Boolean algebra theorems. The K-map can take two forms Sum of Product (SOP) and Product of Sum (POS) according to the needs of the problem.
Detailed explanation-3: -A Karnaugh map (K-map) is a visual method used to simplify the algebraic expressions in Boolean functions without having to resort to complex theorems or equation manipulations.
Detailed explanation-4: -Karnaugh maps are used to simplify real-world logic requirements so that they can be implemented using a minimum number of logic gates. A sum-of-products expression (SOP) can always be implemented using AND gates feeding into an OR gate, and a product-of-sums expression (POS) leads to OR gates feeding an AND gate.
Detailed explanation-5: -Karnaugh Map is used to simplify Boolean algebra expressions. It is a graphical technique of simplifying Boolean expressions.