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A certain multiplexer can switch one of 32 data inputs to its output. The number of control inputs in this multiplexer
- a)32
- b)16
- c)8
- d)5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A certain multiplexer can switch one of 32 data inputs to its output. ...
No. of input lines = 2m (where, m = No. of select/ control inputs)
or, 32 = 2m or m=5.
Most Upvoted Answer
A certain multiplexer can switch one of 32 data inputs to its output. ...
The correct answer to the question is option 'D', which states that the number of control inputs in this multiplexer is 5.
Explanation:
A multiplexer, also known as a data selector, is a digital circuit that selects one of many inputs and forwards it to a single output line. The selection of the input is determined by the control inputs of the multiplexer.
In this question, we are given that the multiplexer can switch one of 32 data inputs to its output. This means that there are 32 data input lines that can be selected.
To select one of these 32 data inputs, the multiplexer requires control inputs. The number of control inputs determines the number of possible combinations and hence the number of data inputs that can be selected.
Binary Encoding:
To understand the number of control inputs, we can use binary encoding. Binary encoding is a way of representing numbers using only two symbols, typically 0 and 1. Each control input represents a binary digit, and the number of control inputs determines the maximum number of combinations.
Number of Inputs:
In this case, we are given that the multiplexer can select one of 32 data inputs. To represent 32 different combinations, we need 5 binary digits. This is because 2^5 = 32.
Answer:
Therefore, the correct answer is option 'D', which states that the number of control inputs in this multiplexer is 5.
Explanation:
A multiplexer, also known as a data selector, is a digital circuit that selects one of many inputs and forwards it to a single output line. The selection of the input is determined by the control inputs of the multiplexer.
In this question, we are given that the multiplexer can switch one of 32 data inputs to its output. This means that there are 32 data input lines that can be selected.
To select one of these 32 data inputs, the multiplexer requires control inputs. The number of control inputs determines the number of possible combinations and hence the number of data inputs that can be selected.
Binary Encoding:
To understand the number of control inputs, we can use binary encoding. Binary encoding is a way of representing numbers using only two symbols, typically 0 and 1. Each control input represents a binary digit, and the number of control inputs determines the maximum number of combinations.
Number of Inputs:
In this case, we are given that the multiplexer can select one of 32 data inputs. To represent 32 different combinations, we need 5 binary digits. This is because 2^5 = 32.
Answer:
Therefore, the correct answer is option 'D', which states that the number of control inputs in this multiplexer is 5.
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