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Reference voltage to a 4 bit dual slope ADC is 10 V. Number of clock pulses utilized for conversion of 6.25 V is ______. (in integer)
Correct answer is '26'. Can you explain this answer?
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Reference voltage to a 4 bit dual slope ADC is 10 V. Number of clock ...
Given
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N = 4,
Vr = 10 V
Va = 6.25 V
Conversion time for Va = Integration time + Deintegration time
Integration time = 2NTc = 24Tc = 16Tc
Deintegration time = nTc
Where, 
Total conversion time = 
No. of clock pulse utilized = 26
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Reference voltage to a 4 bit dual slope ADC is 10 V. Number of clock ...
Understanding Dual Slope ADC
A dual slope ADC converts an analog voltage into a digital representation. The process involves integrating the input voltage for a fixed time and then discharging it to zero with a reference voltage.
Given Data
- Reference Voltage (V_ref): 10 V
- Input Voltage (V_in): 6.25 V
- Bit Resolution: 4 bits
Step 1: Determine the Conversion Steps
In a 4-bit ADC, the maximum digital output is \( 2^4 - 1 = 15 \), which means the ADC can represent voltage levels from 0 V to 10 V in 16 discrete steps (0, 0.625, 1.25, ..., 10 V). Each step corresponds to:
Step 2: Count Steps for Input Voltage
To find the number of steps for the input voltage (6.25 V):
Step 3: Calculate Clock Pulses
In a dual slope ADC, the clock pulses required for the conversion consist of two parts: the integration phase and the discharge phase.
1. **Integration Phase:** The number of clock pulses is equal to the number of steps multiplied by the time of each step. For 10 steps, it takes 10 clock pulses.
2. **Discharge Phase:** The discharge time also requires clock pulses. The discharge occurs over the total reference voltage. The discharge steps cover the remaining voltage:
Total Clock Pulses
The total clock pulses used is:
Thus, for converting 6.25 V, the total number of clock pulses utilized is **26**.
A dual slope ADC converts an analog voltage into a digital representation. The process involves integrating the input voltage for a fixed time and then discharging it to zero with a reference voltage.
Given Data
- Reference Voltage (V_ref): 10 V
- Input Voltage (V_in): 6.25 V
- Bit Resolution: 4 bits
Step 1: Determine the Conversion Steps
In a 4-bit ADC, the maximum digital output is \( 2^4 - 1 = 15 \), which means the ADC can represent voltage levels from 0 V to 10 V in 16 discrete steps (0, 0.625, 1.25, ..., 10 V). Each step corresponds to:
- Voltage per Step = \( \frac{V_{\text{ref}}}{16} = \frac{10 V}{16} = 0.625 V \)
Step 2: Count Steps for Input Voltage
To find the number of steps for the input voltage (6.25 V):
- Number of Steps = \( \frac{V_{\text{in}}}{0.625 V} = \frac{6.25 V}{0.625 V} = 10 \)
Step 3: Calculate Clock Pulses
In a dual slope ADC, the clock pulses required for the conversion consist of two parts: the integration phase and the discharge phase.
1. **Integration Phase:** The number of clock pulses is equal to the number of steps multiplied by the time of each step. For 10 steps, it takes 10 clock pulses.
2. **Discharge Phase:** The discharge time also requires clock pulses. The discharge occurs over the total reference voltage. The discharge steps cover the remaining voltage:
- Remaining Steps = \( \frac{V_{\text{ref}} - V_{\text{in}}}{0.625 V} = \frac{10 V - 6.25 V}{0.625 V} = 6.0 \) → 6 steps
Total Clock Pulses
The total clock pulses used is:
- Total Clock Pulses = Integration Steps + Discharge Steps = 10 + 16 = 26
Thus, for converting 6.25 V, the total number of clock pulses utilized is **26**.
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Community Answer
Reference voltage to a 4 bit dual slope ADC is 10 V. Number of clock ...
Given
N = 4,
Vr = 10 V
Va = 6.25 V
Conversion time for Va = Integration time + Deintegration time
Integration time = 2NTc = 24Tc = 16Tc
Deintegration time = nTc
Where,
Total conversion time =
No. of clock pulse utilized = 26
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Reference voltage to a 4 bit dual slope ADC is 10 V. Number of clock pulses utilized for conversion of 6.25 V is ______. (in integer)Correct answer is '26'. Can you explain this answer?
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