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A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates?
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A circuit has four inputs D, C, B, and A encoded in 8421 natural binar...
Designing a Circuit using NOR Gates
Inputs
- D: The most significant bit representing the month
- C: The second most significant bit representing the month
- B: The third most significant bit representing the month
- A: The least significant bit representing the month
Encoding
The inputs are encoded in 8421 natural binary form. The range of inputs from 0000 to 1011 represents the months from January (0) to December (11). Inputs from 1100 to 1111 (12 to 15) cannot occur.
Output
The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise, the output is false. The output for inputs in the range 1100 to 1111 is undefined.
Circuit Design
To design the circuit using only NOR gates, we first need to determine the months that have 31 days. These are:
- January (0)
- March (2)
- May (4)
- July (6)
- August (7)
- October (9)
- December (11)
We can create a NOR gate for each of these months. The inputs to each NOR gate will be the four bits representing the month. We will then take the output of each NOR gate and feed it into another NOR gate. The output of this final NOR gate will be our circuit output.
To handle the undefined inputs in the range 1100 to 1111, we can add an additional NOR gate with inputs D, C, B, and A. The output of this gate will always be false, ensuring that the output of the circuit is also false for these inputs.
Final Circuit
The final circuit will have the following components:
- Seven NOR gates for the months with 31 days
- One NOR gate to combine the outputs of the seven NOR gates
- One NOR gate to handle the undefined inputs
The circuit will output a logical one if the month represented by the input has 31 days. Otherwise, the output will be false. The output for inputs in the range 1100 to 1111 will also be false.
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A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates?
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A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates?.
A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates?.
Solutions for A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? in English & in Hindi are available as part of our courses for GATE.
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A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates?, a detailed solution for A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? has been provided alongside types of A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? theory, EduRev gives you an
ample number of questions to practice A circuit has four inputs D, C, B, and A encoded in 8421 natural binary form. The inputs in the range 0000z = 0 to 10112= 11 represent the months of the year from January (0) to December (11). Inputs in the range 1100 to 1111 (i.e. 12 to 15) cannot occur. The output of the circuit is a logical one if the month represented by the input has 31 days. Otherwise the output is false. The output for inputs in the range 1100 to 1111 is undefined. Design the circuit using only NOR gates? tests, examples and also practice GATE tests.
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