In a decoder, if the input lines are 4 then number of maximum output lines will be:a)2b)16c)4d)8Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Decoder and Output Lines:
In digital electronics, a decoder is a combinational logic circuit that converts coded inputs into coded outputs. It is used to decode the information from one format to another. The number of output lines in a decoder depends on the number of input lines and the logic used in the circuit.

Calculation:
In this question, we are given that the number of input lines is 4. Let's assume that each input line can be either 0 or 1, so there are two possible values for each input line. Therefore, the total number of possible combinations of input values is 2^4 = 16.

Output Lines:
Since a decoder converts coded inputs into coded outputs, the number of output lines should be equal to the number of possible combinations of input values. In this case, there are 16 possible combinations of input values, so the number of maximum output lines will also be 16.

Answer:
Therefore, the correct answer is option B) 16.

Answer

Decoder:

The decoder is a combinational ckt, that convert Binary Coded information into Familiar, representation like the decimal, octal, Hexadecimal, etc.

The decoder has ‘n’ no of i/p & less than equal to 2n O/P

For 4 input lines n = 4

Maximum output lines = 2⁴ = 16

Similar GATE Doubts

If there are m input lines and n output lines for a decoder that is used to uniquely address a byte addressable 1 KB RAM, then the minimum value of m + n is ________. Correct answer is '1034'. Can you explain this answer?

Which of the following represents a number of output lines for a decoder with 4 input lines?

A _________ is a multiple-input, multiple-output logic circuit which converts coded inputs into coded outputs, where the input and output code are different.

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