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Resolution of DAC or ADC Formula

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The resolution is defined as representing the number of volts between successive digital encodings in a ADC or DAC system. Check FAQs

R = \frac{V max}{2^{n} - 1}

R - Resolution?V_max - Maximum Voltage?n - Bits for Digital Encoding?

Resolution of DAC or ADC Example

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Here is how the Resolution of DAC or ADC equation looks like with Values.

Here is how the Resolution of DAC or ADC equation looks like with Units.

Here is how the Resolution of DAC or ADC equation looks like.

0.119 = \frac{7.5}{2^{6} - 1}

0.119V = \frac{7.5V}{2^{6} - 1}

0.119 = \frac{7.5}{2^{6} - 1}

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Resolution of DAC or ADC Solution

Follow our step by step solution on how to calculate Resolution of DAC or ADC?

FIRST Step Consider the formula

R = \frac{V max}{2^{n} - 1}

Next Step Substitute values of Variables

∴

R = \frac{7.5V}{2^{6} - 1}

Next Step Prepare to Evaluate

∴

R = \frac{7.5}{2^{6} - 1}

Next Step Evaluate

∴

R = 0.119047619047619V

LAST Step Rounding Answer

∴

R = 0.119V

Resolution of DAC or ADC Formula Elements

Variables

Resolution

The resolution is defined as representing the number of volts between successive digital encodings in a ADC or DAC system.

Symbol: R

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Resolution

Maximum Voltage

Maximum Voltage is the maximum voltage that the analog signal can assume.

Symbol: V_max

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Maximum Voltage

Bits for Digital Encoding

Bits for Digital Encoding : number of bits available for digital encoding.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bits for Digital Encoding

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How to Evaluate Resolution of DAC or ADC?

Resolution of DAC or ADC evaluator uses Resolution = Maximum Voltage/(2^(Bits for Digital Encoding)-1) to evaluate the Resolution, Resolution of DAC or ADC is defined as Vmax representing the number of volts between successive digital encodings. Resolution is denoted by R symbol.

How to evaluate Resolution of DAC or ADC using this online evaluator? To use this online evaluator for Resolution of DAC or ADC, enter Maximum Voltage (V_max) & Bits for Digital Encoding (n) and hit the calculate button.

FAQs on Resolution of DAC or ADC

What is the formula to find Resolution of DAC or ADC?

The formula of Resolution of DAC or ADC is expressed as Resolution = Maximum Voltage/(2^(Bits for Digital Encoding)-1). Here is an example- 0.119048 = 7.5/(2^(6)-1).

How to calculate Resolution of DAC or ADC?

With Maximum Voltage (V_max) & Bits for Digital Encoding (n) we can find Resolution of DAC or ADC using the formula - Resolution = Maximum Voltage/(2^(Bits for Digital Encoding)-1).

Can the Resolution of DAC or ADC be negative?

No, the Resolution of DAC or ADC, measured in Electric Potential cannot be negative.

Which unit is used to measure Resolution of DAC or ADC?

Resolution of DAC or ADC is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Resolution of DAC or ADC can be measured.

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Resolution of DAC or ADC Formula

Resolution of DAC or ADC Example

Resolution of DAC or ADC Solution

Resolution of DAC or ADC Formula Elements

Other formulas in System Design category

How to Evaluate Resolution of DAC or ADC?

FAQs on Resolution of DAC or ADC

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