Understanding Dual Slope ADC
A dual slope ADC converts an analog voltage into a digital value by integrating the input voltage over a fixed time period and then comparing it to a reference voltage.

Conversion Process
1. **Integration Phase**:
- The input voltage (Vin) of 6.25 V is integrated over a certain time (T).
- The reference voltage (Vref) is 10 V, which will be used in the next phase.
2. **De-integration Phase**:
- The integrator output is then de-integrated using the reference voltage (Vref) until it returns to zero.
- The time taken for this de-integration is measured in clock pulses.

Calculating the Number of Clock Pulses
To find the number of clock pulses for a 4-bit ADC with a reference voltage of 10 V:
- **Step 1**: Calculate the total time for the integration phase.
- The output voltage after integration is proportional to the input voltage, which is 6.25 V.
- **Step 2**: During the de-integration phase, the reference voltage of 10 V is used.
- The relationship between the input voltage and the reference voltage can be expressed as:
\[
\text{Time for de-integration} = \left( \frac{\text{Vin}}{\text{Vref}} \right) \times T
\]
- **Step 3**: Convert this time into clock pulses.
- For a 4-bit ADC, each bit corresponds to a unique clock pulse, and the total number of clock pulses utilized will be proportional to the ratio of the input voltage to the reference voltage.

Final Calculation
- Given that the input voltage is 6.25 V and the reference voltage is 10 V, the calculation will yield:
\[
\text{Clock Pulses} = 2 \times \left( \frac{6.25}{10} \right) \times 16
\]
- This gives a total of 26 clock pulses required for the conversion.
Thus, the number of clock pulses utilized for converting 6.25 V is **26**.

Given