Analog to digital conversion

In summary, analog to digital conversion is the process of converting continuous analog signals into discrete digital signals. It is necessary because digital devices can only process and store digital signals. In this process, the analog signal is sampled at regular intervals and quantized to create a digital representation. The sampling rate is important in ensuring accuracy, as a higher rate results in a more accurate representation. However, errors can occur in the conversion process, which can be minimized with proper equipment and techniques.
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An analog voice signal that vary over the range 0-50mA is digitised by sampling it at 8 kHz. the first four sample values are 10,21,36 and 16mA. write the corresponding digital signal (a string of 1 and 0 bits) by using a 4 bit representation for each sample
 
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Analog to digital conversion is a process in which an analog signal, such as a voice signal, is converted into a digital form that can be processed and transmitted using binary code. In this specific scenario, the analog voice signal has a range of 0-50mA and is being sampled at a rate of 8 kHz. The first four sample values are 10, 21, 36, and 16mA. To convert these values into a digital signal, we will use a 4 bit representation for each sample.

The first sample value of 10mA can be represented as 1010 in binary, as 10 in decimal form is equal to 1010 in binary. The second sample value of 21mA can be represented as 10101 in binary, as 21 in decimal form is equal to 10101 in binary. The third sample value of 36mA can be represented as 100100 in binary, as 36 in decimal form is equal to 100100 in binary. Finally, the fourth sample value of 16mA can be represented as 10000 in binary, as 16 in decimal form is equal to 10000 in binary.

Therefore, the corresponding digital signal for the first four sample values would be 10101010100100100000. This string of 1s and 0s represents the analog voice signal in a digital form, allowing it to be processed and transmitted efficiently.
 

1. What is analog to digital conversion?

Analog to digital conversion is the process of converting continuous analog signals into discrete digital signals, which can be processed and stored by computers or other digital devices.

2. Why is analog to digital conversion necessary?

Analog signals are continuously varying signals, whereas digital signals are made up of discrete values. In order for digital devices to interpret and process analog signals, they must first be converted into digital signals through analog to digital conversion.

3. How does analog to digital conversion work?

In analog to digital conversion, the analog signal is sampled at regular intervals and each sample is assigned a discrete numerical value. This process, known as quantization, results in a digital representation of the original analog signal.

4. What is the importance of the sampling rate in analog to digital conversion?

The sampling rate, or the frequency at which the analog signal is sampled, is crucial in analog to digital conversion. A higher sampling rate results in a more accurate digital representation of the analog signal. If the sampling rate is too low, important details of the analog signal may be lost.

5. Can analog to digital conversion introduce errors?

Yes, analog to digital conversion can introduce errors. These errors can occur due to limitations in the sampling rate or quantization process. However, with proper equipment and techniques, these errors can be minimized to ensure accurate conversion.

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