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Write the simplified equation for the given K-Map.
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Write the simplified equation for the given K-Map.a)b)c)d)Correct answ...
Concept:
K-map:
K-map:
- K-map (Karnaugh Map) is a pictorial method used to minimize Boolean expression without having to use Boolean Algebra theorems and equation manipulation.
- K-map can be thought of as a special version of a truth table.
- Using K-map, expression with two to four variables are easily minimized.
- K-maps are also referred to as 2D truth tables as each K-map is nothing but a different format of representing the values present in a one-dimensional truth table.
- To simplify a logic expression with two inputs, we require a K-map with 4 cells (= 22)
- Similarly, a logic expression with four inputs we require a K-map with 16 cells (= 24)
- Each cell within K-map has a definite place value which is obtained by using on encoding technique known as Gray code.
- For n-variable K-map, with 2n cells, try to group 2n cells first, then for 2n-1 cells, next for 2n-2 cells, and so on until the group contains only 2° cells ie. Isolated bits (if any)
- Also remember, the number of cells in a group must be equal to an integer power to 2 i.e. 1, 2, 4, 8, ...
Calculation:
→ There are no 16 bits group, no 8-bits group, but there are 2-four bits group
→ Eliminate the variables for which the corresponding hit appears within the group as both 0 and 1.
→ There are no 16 bits group, no 8-bits group, but there are 2-four bits group
→ Eliminate the variables for which the corresponding hit appears within the group as both 0 and 1.
- Group 1 → B̅1 B2
- Group 2 → B1 B̅2
→ Therefore in SOP form (sum of products) output
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Write the simplified equation for the given K-Map.a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Write the simplified equation for the given K-Map.a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the simplified equation for the given K-Map.a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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