The number of control lines in a multiplexer is 5, identify the MUX.
32 ∶ 1
Multiplexer Basics and Control Lines
A multiplexer, often abbreviated as MUX, is a combinational logic circuit that selects one of several analog or digital input signals and forwards the selected input into a single output line. The selection of a particular input line is controlled by a set of control lines (also known as select lines).
The relationship between the number of control lines and the number of data input lines in a multiplexer is fundamental to its operation. If a multiplexer has 'n' control lines, it can select from $2^\text{n}$ unique input lines.
Control Lines and MUX Type Calculation
To identify the type of MUX based on the number of control lines, we use a simple formula:
- Let 'n' be the number of control lines.
- Let 'N' be the number of data input lines.
- The relationship is given by: $\text{N} = 2^\text{n}$
In this question, it is given that the number of control lines in the multiplexer is 5.
So, we have:
- Number of control lines (n) = 5
Now, we can calculate the number of data input lines (N):
$\text{N} = 2^\text{n} = 2^5$
Calculating $2^5$:
$2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32$
Therefore, the multiplexer has 32 data input lines. Since a multiplexer always has one output line, it is a 32 ∶ 1 MUX.
Option Analysis for MUX Identification
Let's evaluate the given options based on our calculation:
| Option | MUX Type | Calculated Control Lines (n) from $2^\text{n}$ inputs | Matches Given Control Lines (5)? |
|---|---|---|---|
| 1 | 16 ∶ 1 | Since $16 = 2^4$, n = 4 | No |
| 2 | 5 ∶ 1 | Not a standard $2^\text{n} : 1$ MUX configuration based on control lines. | No |
| 3 | 32 ∶ 1 | Since $32 = 2^5$, n = 5 | Yes |
| 4 | 64 ∶ 1 | Since $64 = 2^6$, n = 6 | No |
Based on the analysis, the MUX with 5 control lines is a 32 ∶ 1 MUX.
Important Questions from Multiplexer
The device which changes from serial data to parallel data is:
Consider a logic gate circuit. with 8 input lines (D 0, D 1..... D 7) and 3 output lines (A 0, A 1, A 2) specified by following operations
A 2= D 4+ D 5+ D 6+ D 7
A 1= D 2+ D 3+ D 6+ D 7
A 0= D 1+ D 3+ D 5+ D 0
Where + indicates logical OR operation. This circuit is
Which of the following statements are true?
A. Frequency division multiplexing technique can be handled by digital circuits.
B. Time division multiplexing technique can be handled by analog circuits
C. Wavelength division multiplexing technique is used with optical fiber for combining two signals.
D. Frequency division multiplexing technique can be applied when the bandwidth of a link is greater than the bandwidth of the signals to be transmitted.
Choose the correct answer from the options given below :
Consider the sentence below.
There is a country that borders both India and Pakistan.
Which of the following logical expressions express the above sentence correctly when the predicate Country(x) represents that x is a country and Borders(x, y) represents that the countries x and y share the border?
A digital computer has a common bus system for 8 registers 16 bits each. How many multiplexers are required to implement common bus? What size of multiplexers is required?
