GATE Exam > GATE Questions > An encoder has _________ input lines ________...
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An encoder has _________ input lines _________ output lines.
- a)2n, n
- b)n2, 2
- c)n, 2n
- d)n, n2
Correct answer is option 'A'. Can you explain this answer?
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An encoder has _________ input lines _________ output lines.a)2n, nb)n...
Encoder:
- It is a combinational circuit which converts decimal number into binary number.
- It consists 2n input lines and n output lines.
- They do not have any select lines.
Community Answer
An encoder has _________ input lines _________ output lines.a)2n, nb)n...
An encoder is a combinational circuit that converts a set of inputs into a coded output. The number of input lines and output lines in an encoder is determined by the number of unique input combinations and the desired output code.
In this question, we are given that an encoder has "2n" input lines and "n" output lines. Let's understand why the correct answer is option 'A' - 2n input lines and n output lines.
Explanation:
1. Understanding the input lines:
- The number of input lines in an encoder represents the total number of unique input combinations that can be applied to the encoder.
- In this case, the number of input lines is given as "2n". This means that there are 2 possible input values (0 and 1) for each of the 'n' input variables.
- Since each input variable can have 2 possible values (0 or 1), the total number of unique input combinations is 2^n.
2. Understanding the output lines:
- The number of output lines in an encoder represents the number of distinct output codes that the encoder can generate.
- In this case, the number of output lines is given as "n". This means that the encoder can generate 'n' distinct output codes.
- The output codes are typically represented using binary numbers, where each output line corresponds to a bit in the binary code.
3. Relationship between input and output lines:
- The relationship between the number of input lines and output lines in an encoder is determined by the number of unique input combinations and the desired output code.
- Since the number of unique input combinations is 2^n (as discussed in point 1), and the encoder has 'n' output lines (as given in point 2), the correct relationship is "2n input lines" and "n output lines".
Therefore, the correct answer is option 'A' - 2n input lines and n output lines.
In this question, we are given that an encoder has "2n" input lines and "n" output lines. Let's understand why the correct answer is option 'A' - 2n input lines and n output lines.
Explanation:
1. Understanding the input lines:
- The number of input lines in an encoder represents the total number of unique input combinations that can be applied to the encoder.
- In this case, the number of input lines is given as "2n". This means that there are 2 possible input values (0 and 1) for each of the 'n' input variables.
- Since each input variable can have 2 possible values (0 or 1), the total number of unique input combinations is 2^n.
2. Understanding the output lines:
- The number of output lines in an encoder represents the number of distinct output codes that the encoder can generate.
- In this case, the number of output lines is given as "n". This means that the encoder can generate 'n' distinct output codes.
- The output codes are typically represented using binary numbers, where each output line corresponds to a bit in the binary code.
3. Relationship between input and output lines:
- The relationship between the number of input lines and output lines in an encoder is determined by the number of unique input combinations and the desired output code.
- Since the number of unique input combinations is 2^n (as discussed in point 1), and the encoder has 'n' output lines (as given in point 2), the correct relationship is "2n input lines" and "n output lines".
Therefore, the correct answer is option 'A' - 2n input lines and n output lines.
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An encoder has _________ input lines _________ output lines.a)2n, nb)n2, 2c)n, 2nd)n, n2Correct answer is option 'A'. Can you explain this answer?
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