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A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?
    Correct answer is '3'. Can you explain this answer?
    Most Upvoted Answer
    A circuit outputs a digit in the form of 4 bits. 0 is represented by 0...
    According to the question,
    Let the 4 inputs be (w,x,y,z) and output be F.
    Min-terms: 5, 6, 7, 8, 9
    Don't care: 10, 11, 12, 13, 14, 15
    Now, the K- map:
    So, F = w + xz + xy
    F = x(y + z) + w
    Now, realizing this expression using min number of gates:
    So, the minimum number of gates required is 3.
    Hence, the correct answer is 3.
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    Community Answer
    A circuit outputs a digit in the form of 4 bits. 0 is represented by 0...
    2 by 0010, 3 by 0011, 4 by 0100, 5 by 0101, 6 by 0110, 7 by 0111, 8 by 1000, and 9 by 1001.
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    A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?Correct answer is '3'. Can you explain this answer?
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    A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?Correct answer is '3'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?Correct answer is '3'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?Correct answer is '3'. Can you explain this answer?.
    Solutions for A circuit outputs a digit in the form of 4 bits. 0 is represented by 0000, 1 by 0001,…, 9 by a combinational circuit is to be designed which takes these 4 bits as input and outputs 1 if the digit ≥ 5, and 0 otherwise. If only AND, OR and NOT gates may be used, what is the minimum number of gates required?Correct answer is '3'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
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