Introduction:
In this scenario, we have a 10-bit analog-to-digital (A/D) converter used to digitize an analog signal with a voltage range of 0 to 10V. We need to determine the maximum peak-to-peak ripple voltage that can be allowed in the DC supply voltage.

Understanding the A/D Converter:
An analog-to-digital converter converts continuous analog signals into discrete digital values. The 10-bit A/D converter has a resolution of 2^10, which means it can represent 2^10 (or 1024) different digital values. In our case, the voltage range is 0 to 10V, which means the smallest voltage increment that can be represented by the A/D converter is 10V / 1024 ≈ 9.77mV.

Effect of Ripple Voltage:
Ripple voltage refers to the fluctuation in the DC supply voltage due to imperfect filtering or other factors. It can introduce errors in the analog signal conversion process. The ripple voltage should be kept within acceptable limits to ensure accurate and reliable digitization of the analog signal.

Determining the Maximum Ripple Voltage:
To determine the maximum peak-to-peak ripple voltage that can be allowed in the DC supply voltage, we need to consider the resolution of the A/D converter.

Step 1:
Calculate the maximum acceptable voltage difference between two adjacent digital values. This can be obtained by dividing the voltage range (10V) by the total number of digital values (1024).

Maximum Voltage Difference = Voltage Range / Total Digital Values
= 10V / 1024
≈ 9.77mV

Step 2:
The ripple voltage should be smaller than the maximum acceptable voltage difference calculated in step 1. This ensures that the ripple voltage does not cause any two adjacent digital values to be indistinguishable.

Conclusion:
In conclusion, the maximum peak-to-peak ripple voltage that can be allowed in the DC supply voltage should be smaller than the maximum acceptable voltage difference between two adjacent digital values, which is approximately 9.77mV in this case. Keeping the ripple voltage within this limit ensures accurate digitization of the analog signal by the 10-bit A/D converter.