Solve Urgent: HELPP A/D Converters - Succesive Approx

[vinee]

Urgent! HELPP! A/D converters - succesive approx.

An input analog signal has a 4.78 V instantaneous magnitude, held by an S/H circuit, which is applied to a 6 bit succesive approximation ADC with range :

000000 output for 0 V input
111111 output for 12 V input

Follow the succesive approximation steps of conversion and state the output readings of the converter at each step.



THanks

Vinee..

 

[berkeman]

Thread moved to homework forum.

vinee, welcome to the Physics and Math Forums (the PF). Homework problems need to be posted in the appropriate homework forum, and not in the general forums like EE. And on homework problems, you must show us your own work in order for us to offer you help.

Tell us what you know about a SA ADC. What is the output value at the first step? For the problem you've stated, what is the output value for the 2nd step? You should be able to at least answer that much...

 

[piercas]

Hello Vinee,

I understand your urgency in solving this problem with A/D converters. I would like to provide you with a detailed response to help you understand the steps involved in successive approximation conversion.

Firstly, let's define what an A/D converter is. An A/D converter, also known as an analog-to-digital converter, is a device that converts analog signals into digital signals. This is done by sampling the input analog signal at regular intervals and assigning a digital value to it based on its magnitude.

In your case, the input analog signal has a magnitude of 4.78 V and is held by an S/H circuit. This means that the analog signal is being held at a constant value for the conversion process. The range of the successive approximation ADC is from 0 V to 12 V, with a 6-bit resolution. This means that the output of the converter can have 64 (2^6) different values, with 000000 representing 0 V and 111111 representing 12 V.

Now, let's look at the steps involved in the successive approximation conversion process:

1. The first step is to initialize the converter. This means that all the bits in the output register are set to 0.

2. The next step is to start the conversion process. This is done by setting the MSB (Most Significant Bit) of the output register to 1, and all the other bits to 0. In your case, this would mean that the output register would have a value of 100000.

3. The converter then compares this value with the input analog signal. If the input signal is greater than the value in the output register, the MSB remains at 1. If the input signal is less than the value in the output register, the MSB is set to 0.

4. The next step is to set the next bit (second MSB) of the output register to 1, and all the other bits to 0. This would mean that the output register would have a value of 110000.

5. The converter again compares this value with the input signal and updates the second MSB accordingly.

6. This process continues until all the bits in the output register have been set and compared with the input signal.

7. Once all the bits have been set, the conversion is complete, and the final output value is obtained.

In your case, since the input analog signal