Output Voltage of R-2R Linear Converter Calculator

✖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.ⓘ Feedback Resistance [R_f]			+10% -10%
✖Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion.ⓘ Reference Voltage [V_ref]			+10% -10%
✖Resistance is the opposition to the flow of current within the converter's circuitry, affecting signal amplitude and power consumption.ⓘ Resistance [R]			+10% -10%
✖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.ⓘ Least Significant Bit [d₄]			+10% -10%
✖Third Bit refers to the third digit or position in a binary number or binary code.ⓘ Third Bit [d₃]			+10% -10%
✖Second Bit refers to the second digit or position in a binary number or binary code.ⓘ Second Bit [d₂]			+10% -10%
✖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.ⓘ Most Significant Bit [d₁]			+10% -10%

✖Output Voltage is electrical voltage produced by the device after it has processed an input signal.ⓘ Output Voltage of R-2R Linear Converter [V_out]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Electronics and Instrumentation Formula PDF PDF Image

Output Voltage of R-2R Linear Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2))
V_out = (R_f*V_ref/R)*((d₄/16)+(d₃/8)+(d₂/4)+(d₁/2))
This formula uses 8 Variables

Variables Used

Output Voltage - (Measured in Volt) - Output Voltage is electrical voltage produced by the device after it has processed an input signal.
Feedback Resistance - (Measured in Ohm) - 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.
Reference Voltage - (Measured in Volt) - Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion.
Resistance - (Measured in Ohm) - Resistance is the opposition to the flow of current within the converter's circuitry, affecting signal amplitude and power consumption.
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.
Third Bit - Third Bit refers to the third digit or position in a binary number or binary code.
Second Bit - Second Bit refers to the second digit or position in a binary number or binary code.
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.

STEP 1: Convert Input(s) to Base Unit

Feedback Resistance: 55 Ohm --> 55 Ohm No Conversion Required
Reference Voltage: 2 Volt --> 2 Volt No Conversion Required
Resistance: 11 Ohm --> 11 Ohm No Conversion Required
Least Significant Bit: 4.5 --> No Conversion Required
Third Bit: 8 --> No Conversion Required
Second Bit: 4 --> No Conversion Required
Most Significant Bit: 6.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_out = (R_f*V_ref/R)*((d₄/16)+(d₃/8)+(d₂/4)+(d₁/2)) --> (55*2/11)*((4.5/16)+(8/8)+(4/4)+(6.5/2))

Evaluating ... ...

V_out = 55.3125

STEP 3: Convert Result to Output's Unit

55.3125 Volt --> No Conversion Required

FINAL ANSWER

55.3125 Volt <-- Output Voltage

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics and Instrumentation » Signal Generator and Analyzer » Signal Converter » Digital to Analog » Output Voltage of R-2R Linear Converter

Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Digital to Analog Calculators

Output Voltage of R-2R Linear Converter

LaTeX Go Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2))

Output Voltage of Binary Weighted Converter

LaTeX Go Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2))

Output Voltage of Inverted R-2R Linear Converter

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

Output Voltage of R-2R Linear Converter Formula

LaTeX Go

What are the advantages of the R-2R Linear type DAC?

It is easier to build accurately as only two precision metal film resistors are required and the number of bits can be expanded by adding more sections of the same R/2R values.

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

Output Voltage of R-2R Linear Converter calculator uses Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)) to calculate 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 calculate Output Voltage of R-2R Linear Converter using this online calculator? To use this online calculator 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. Here is how the Output Voltage of R-2R Linear Converter calculation can be explained with given input values -> 55.3125 = (55*2/11)*((4.5/16)+(8/8)+(4/4)+(6.5/2)).

FAQ

What is Output Voltage of R-2R Linear Converter?

The Output Voltage of R-2R Linear Converter formula is the final effective output voltage of the R-2R linear type DAC and is represented as V_out = (R_f*V_ref/R)*((d₄/16)+(d₃/8)+(d₂/4)+(d₁/2)) or Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)). 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, Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion, Resistance is the opposition to the flow of current within the converter's circuitry, affecting signal amplitude and power consumption, 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, Third Bit refers to the third digit or position in a binary number or binary code, Second Bit refers to the second digit or position in a binary number or binary code & 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.

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

The Output Voltage of R-2R Linear Converter formula is the final effective output voltage of the R-2R linear type DAC is calculated using Output Voltage = (Feedback Resistance*Reference Voltage/Resistance)*((Least Significant Bit/16)+(Third Bit/8)+(Second Bit/4)+(Most Significant Bit/2)). To calculate Output Voltage of R-2R Linear Converter, you need Feedback Resistance (R_f), Reference Voltage (V_ref), Resistance (R), Least Significant Bit (d₄), Third Bit (d₃), Second Bit (d₂) & Most Significant Bit (d₁). With our tool, you need to enter the respective value for Feedback Resistance, Reference Voltage, Resistance, Least Significant Bit, Third Bit, Second Bit & Most Significant Bit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Output Voltage?

In this formula, Output Voltage uses Feedback Resistance, Reference Voltage, Resistance, Least Significant Bit, Third Bit, Second Bit & Most Significant Bit. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search