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Output Voltage of R-2R Linear Converter Formula

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GoOutput Voltage of Inverted R-2R Linear Converter Formula

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Output Voltage is electrical voltage produced by the device after it has processed an input signal. Check FAQs

V out = (R f \cdot \frac{V ref}{R}) \cdot ((\frac{d 4}{16}) + (\frac{d 3}{8}) + (\frac{d 2}{4}) + (\frac{d 1}{2}))

V_out - Output Voltage?R_f - Feedback Resistance?V_ref - Reference Voltage?R - Resistance?d₄ - Least Significant Bit?d₃ - Third Bit?d₂ - Second Bit?d₁ - Most Significant Bit?

Output Voltage of R-2R Linear Converter Example

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Here is how the Output Voltage of R-2R Linear Converter equation looks like with Values.

Here is how the Output Voltage of R-2R Linear Converter equation looks like with Units.

Here is how the Output Voltage of R-2R Linear Converter equation looks like.

55.3125 = (55 \cdot \frac{2}{11}) \cdot ((\frac{4.5}{16}) + (\frac{8}{8}) + (\frac{4}{4}) + (\frac{6.5}{2}))

55.3125V = (55Ω \cdot \frac{2V}{11Ω}) \cdot ((\frac{4.5}{16}) + (\frac{8}{8}) + (\frac{4}{4}) + (\frac{6.5}{2}))

55.3125 = (55 \cdot \frac{2}{11}) \cdot ((\frac{4.5}{16}) + (\frac{8}{8}) + (\frac{4}{4}) + (\frac{6.5}{2}))

Tip: Use pencil () icon above to edit Input Values and Units.

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Output Voltage of R-2R Linear Converter Solution

Follow our step by step solution on how to calculate Output Voltage of R-2R Linear Converter?

FIRST Step Consider the formula

V out = (R f \cdot \frac{V ref}{R}) \cdot ((\frac{d 4}{16}) + (\frac{d 3}{8}) + (\frac{d 2}{4}) + (\frac{d 1}{2}))

Next Step Substitute values of Variables

∴

V out = (55Ω \cdot \frac{2V}{11Ω}) \cdot ((\frac{4.5}{16}) + (\frac{8}{8}) + (\frac{4}{4}) + (\frac{6.5}{2}))

Next Step Prepare to Evaluate

∴

V out = (55 \cdot \frac{2}{11}) \cdot ((\frac{4.5}{16}) + (\frac{8}{8}) + (\frac{4}{4}) + (\frac{6.5}{2}))

LAST Step Evaluate

∴

V out = 55.3125V

Output Voltage of R-2R Linear Converter Formula Elements

Variables

Output Voltage

Output Voltage is electrical voltage produced by the device after it has processed an input signal.

Symbol: V_out

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Feedback Resistance

Feedback Resistance refers to a resistor that is strategically placed within a feedback loop to control the gain, stability, and performance of an amplifier or operational amplifier circuit.

Symbol: R_f

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Reference Voltage

Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion.

Symbol: V_ref

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Resistance

Resistance is the opposition to the flow of current within the converter's circuitry, affecting signal amplitude and power consumption.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Least Significant Bit

Least Significant Bit is the bit position in a binary number that represents the smallest value, typically located at the far-right end of the number.

Symbol: d₄

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Third Bit

Third Bit refers to the third digit or position in a binary number or binary code.

Symbol: d₃

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Second Bit

Second Bit refers to the second digit or position in a binary number or binary code.

Symbol: d₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Most Significant Bit

Most Significant Bit is the bit position in a binary number that represents the largest value, typically located at the far-left end of the number.

Symbol: d₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Credits

Creator Image

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Formula and 100+ more formulas!

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

Other Formulas to find Output Voltage

Go Output Voltage of Inverted R-2R Linear Converter

V out = V ref \cdot ((\frac{b 1}{2}) + (\frac{b 2}{4}) + (\frac{b 3}{8}) + (\frac{b 4}{16}))

Other formulas in Digital to Analog category

Go Output Voltage of Binary Weighted Converter

V o = - V ref \cdot ((\frac{d 1}{16}) + (\frac{d 2}{8}) + (\frac{d 3}{4}) + (\frac{d 4}{2}))

How to Evaluate Output Voltage of R-2R Linear Converter?

Output Voltage of R-2R Linear Converter evaluator uses Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)) to evaluate the Output Voltage, The Output Voltage of R-2R Linear Converter formula is the final effective output voltage of the R-2R linear type DAC. Output Voltage is denoted by V_out symbol.

How to evaluate Output Voltage of R-2R Linear Converter using this online evaluator? To use this online evaluator for Output Voltage of R-2R Linear Converter, enter Feedback Resistance (R_f), Reference Voltage (V_ref), Resistance (R), Least Significant Bit (d₄), Third Bit (d₃), Second Bit (d₂) & Most Significant Bit (d₁) and hit the calculate button.

FAQs on Output Voltage of R-2R Linear Converter

What is the formula to find Output Voltage of R-2R Linear Converter?

The formula of Output Voltage of R-2R Linear Converter is expressed as Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)). Here is an example- 55.3125 = (55*2/11)*((4.5/16)+(8/8)+(4/4)+(6.5/2)).

How to calculate Output Voltage of R-2R Linear Converter?

With Feedback Resistance (R_f), Reference Voltage (V_ref), Resistance (R), Least Significant Bit (d₄), Third Bit (d₃), Second Bit (d₂) & Most Significant Bit (d₁) we can find Output Voltage of R-2R Linear Converter using the formula - Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)).

What are the other ways to Calculate Output Voltage?

Here are the different ways to Calculate Output Voltage-

Output Voltage=Reference Voltage*((Switch Position 1/2)+(Switch Position 2/4)+(Switch Position 3/8)+(Switch Position 4/16))

Can the Output Voltage of R-2R Linear Converter be negative?

No, the Output Voltage of R-2R Linear Converter, measured in Electric Potential cannot be negative.

Which unit is used to measure Output Voltage of R-2R Linear Converter?

Output Voltage of R-2R Linear Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Output Voltage of R-2R Linear Converter can be measured.

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