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What is the difference between multiplexer and demultiplexer?

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A **multiplexer (MUX)** and a **demultiplexer (DEMUX)** are both combinational logic circuits used in digital systems to handle multiple data lines efficiently. However, their purposes and functionalities are opposite to each other. Below is a detailed explanation of their differences:

---

### **1. Definition and Functionality**

#### **Multiplexer (MUX):**
- A multiplexer is a device that selects one input line from multiple input lines and forwards it to a single output line.
- It acts like a data selector and is used to channel one of the many data inputs to a single output.
- Selection of the input line is controlled by control signals (also called select lines).

#### **Demultiplexer (DEMUX):**
- A demultiplexer is a device that takes a single input line and distributes it to one of the many output lines.
- It acts like a data distributor and is used to send data from a single source to multiple destinations.
- The specific output line activated is determined by control signals.

---

### **2. Purpose**

#### **Multiplexer (MUX):**
- Combines multiple data streams into a single data stream.
- Efficiently reduces the number of data lines needed to transmit data, saving space and resources.

#### **Demultiplexer (DEMUX):**
- Splits a single data stream into multiple data streams.
- Used when data needs to be sent to multiple devices or systems from a single source.

---

### **3. Block Diagram**
- **Multiplexer:**
  Input Lines (Multiple) β†’ MUX β†’ Output Line (Single)  
  Example: 4-to-1 MUX (4 input lines, 1 output line, and 2 select lines).

- **Demultiplexer:**
  Input Line (Single) β†’ DEMUX β†’ Output Lines (Multiple)  
  Example: 1-to-4 DEMUX (1 input line, 4 output lines, and 2 select lines).

---

### **4. Control Signals**

- Both MUX and DEMUX rely on control (select) signals.
  - **MUX:** The select signals choose which input is connected to the output.
  - **DEMUX:** The select signals decide which output receives the input.

---

### **5. Applications**

#### **Multiplexer Applications:**
- Data routing in communication systems.
- Efficient utilization of bandwidth in data transmission.
- Use in Arithmetic Logic Units (ALUs) for selecting operations.
- Multiplexing signals in digital telephony.

#### **Demultiplexer Applications:**
- Data distribution in communication systems.
- Decoding operations in memory devices.
- Routing a signal to multiple destinations.
- Display systems, such as LED or LCD displays.

---

### **6. Example Use Case**

- **MUX Example:**
  A 4-to-1 MUX combines data from four sensors into a single output stream, which is then sent to a processing unit. The select lines determine which sensor’s data is being sent.

- **DEMUX Example:**
  A 1-to-4 DEMUX takes a single data stream (e.g., from a processor) and sends it to one of four actuators based on the control signal.

---

### **7. Symbolic Representation**

#### Multiplexer:
```
            Input A ┐
                    β”œβ”€β”€> Output
            Input B ─
Select Lines β”€β”€β”€β”€β”€β”€β”€β”˜
```

#### Demultiplexer:
```
              Input
               β”‚
Select Lines ──┼──> Output A
               β”‚
               β””──> Output B
```

---

### **8. Key Difference in Perspective**

- **Multiplexer** performs data **compression** (many-to-one).
- **Demultiplexer** performs data **expansion** (one-to-many).

---

By understanding these points, you can see how multiplexers and demultiplexers complement each other, often being used in conjunction in communication and data-handling systems.
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