{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2025-01-11T08:55:15.766Z","dateModified":"2025-11-28T06:14:38.972Z","typicalAgeRange":"11-18","educationalLevel":"WBJEE","assesses":"Physics - Digital Electronics and Logic Gates","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Digital Electronics and Logic Gates"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Physics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"WBJEE"}],"name":"Quiz about Digital Electronics and Logic Gates","about":{"@type":"Thing","name":"Physics - Digital Electronics and Logic Gates"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Digital Electronics and Logic Gates","text":"In the given network of AND and OR gates, output Q can be written as (assuming n even):}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Simplify Boolean expressions by using the properties of AND and OR gates, and check for patterns in how the inputs are combined."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\\(X_0X_1 + X_2X_3 + ... + X_n\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\\(X_0X_1 + X_1X_2 + X_3X_2 ... X_n + X\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\\(X_0X_1...X_{n-1} + X_2X_3X_5...X_{n-1} + X_{n-2}X_{n-1} + X_n\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\\(X_0X_1...X_{n-1} + X_2X_3X_5...X_{n-1} + X_{n-2}X_{n-1} + X_n\\)

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\\(X_0X_1...X_{n-1} + X_2X_3X_5...X_{n-1} + X_{n-2}X_{n-1} + X_n\\)

","comment":{"@type":"Comment","text":"Simplify Boolean expressions by using the properties of AND and OR gates, and check for patterns in how the inputs are combined."},"answerExplanation":{"@type":"comment","text":""}}}]}

In the given network of AND and OR gates, output Q can be written as (assuming n even):

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