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%
✖Full Scale Voltage refers to the maximum voltage level that a device, circuit, or system can handle or produce without distortion or saturation.ⓘ Full Scale Voltage [V_fs]			+10% -10%
✖Resistance is the value of the resistance of the galvanometer of the magnetic measurement.ⓘ Resistance [R]			+10% -10%
✖Least Significant Bit is the rightmost bit of binary representation of a value. In a binary number, each bit's position represents a power of 2, with the rightmost bit having the lowest value.ⓘ Least Significant Bit [d₄]			+10% -10%
✖3rd bit refers to the third digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents power of 2.ⓘ 3rd Bit [d₃]			+10% -10%
✖2nd bit refers to the second digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents a power of 2.ⓘ 2nd Bit [d₂]			+10% -10%
✖Most Significant Bit is the leftmost bit in a binary representation of a value. In binary notation, each bit's position represents a power of 2, with the leftmost bit having the highest value.ⓘ 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-fg]

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Formula

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Output Voltage of R-2R Linear Converter

Formula

`"V"_{"out-fg"} = ("R"_{"f"}*"V"_{"fs"}/"R")*(("d"_{"4"}/16)+("d"_{"3"}/8)+("d"_{"2"}/4)+("d"_{"1"}/2))`

Example

`"207.4219V"=("55Ω"*"7.5V"/"11Ω")*(("4.5"/16)+("8"/8)+("4"/4)+("6.5"/2))`

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Output Voltage of R-2R Linear Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Voltage = (Feedback Resistance*Full Scale Voltage/Resistance)*((Least Significant Bit/16)+(3rd Bit/8)+(2nd Bit/4)+(Most Significant Bit/2))
V_out-fg = (R_f*V_fs/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.
Full Scale Voltage - (Measured in Volt) - Full Scale Voltage refers to the maximum voltage level that a device, circuit, or system can handle or produce without distortion or saturation.
Resistance - (Measured in Ohm) - Resistance is the value of the resistance of the galvanometer of the magnetic measurement.
Least Significant Bit - Least Significant Bit is the rightmost bit of binary representation of a value. In a binary number, each bit's position represents a power of 2, with the rightmost bit having the lowest value.
3rd Bit - 3rd bit refers to the third digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents power of 2.
2nd Bit - 2nd bit refers to the second digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents a power of 2.
Most Significant Bit - Most Significant Bit is the leftmost bit in a binary representation of a value. In binary notation, each bit's position represents a power of 2, with the leftmost bit having the highest value.

STEP 1: Convert Input(s) to Base Unit

Feedback Resistance: 55 Ohm --> 55 Ohm No Conversion Required
Full Scale Voltage: 7.5 Volt --> 7.5 Volt No Conversion Required
Resistance: 11 Ohm --> 11 Ohm No Conversion Required
Least Significant Bit: 4.5 --> No Conversion Required
3rd Bit: 8 --> No Conversion Required
2nd Bit: 4 --> No Conversion Required
Most Significant Bit: 6.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_out-fg = (R_f*V_fs/R)*((d₄/16)+(d₃/8)+(d₂/4)+(d₁/2)) --> (55*7.5/11)*((4.5/16)+(8/8)+(4/4)+(6.5/2))

Evaluating ... ...

V_out-fg = 207.421875

STEP 3: Convert Result to Output's Unit

207.421875 Volt --> No Conversion Required

FINAL ANSWER

207.421875 ≈ 207.4219 Volt <-- Output Voltage

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 3 Digital to Analog Calculators

Output Voltage of R-2R Linear Converter

Go Output Voltage = (Feedback Resistance*Full Scale Voltage/Resistance)*((Least Significant Bit/16)+(3rd Bit/8)+(2nd Bit/4)+(Most Significant Bit/2))

Output Voltage of Binary Weighted Converter

Go Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(2nd Bit/8)+(3rd Bit/4)+(Least Significant Bit/2))

Output Voltage of Inverted R-2R Linear Converter

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

Output Voltage of R-2R Linear Converter Formula

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*Full Scale Voltage/Resistance)*((Least Significant Bit/16)+(3rd Bit/8)+(2nd 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-fg 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), Full Scale Voltage (V_fs), Resistance (R), Least Significant Bit (d₄), 3rd Bit (d₃), 2nd 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 -> 207.4219 = (55*7.5/11)*((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-fg = (R_f*V_fs/R)*((d₄/16)+(d₃/8)+(d₂/4)+(d₁/2)) or Output Voltage = (Feedback Resistance*Full Scale Voltage/Resistance)*((Least Significant Bit/16)+(3rd Bit/8)+(2nd 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, Full Scale Voltage refers to the maximum voltage level that a device, circuit, or system can handle or produce without distortion or saturation, Resistance is the value of the resistance of the galvanometer of the magnetic measurement, Least Significant Bit is the rightmost bit of binary representation of a value. In a binary number, each bit's position represents a power of 2, with the rightmost bit having the lowest value, 3rd bit refers to the third digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents power of 2, 2nd bit refers to the second digit or position in a binary number or binary code. In binary notation, each digit can be either 0 or 1, and each position represents a power of 2 & Most Significant Bit is the leftmost bit in a binary representation of a value. In binary notation, each bit's position represents a power of 2, with the leftmost bit having the highest value.

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*Full Scale Voltage/Resistance)*((Least Significant Bit/16)+(3rd Bit/8)+(2nd Bit/4)+(Most Significant Bit/2)). To calculate Output Voltage of R-2R Linear Converter, you need Feedback Resistance (R_f), Full Scale Voltage (V_fs), Resistance (R), Least Significant Bit (d₄), 3rd Bit (d₃), 2nd Bit (d₂) & Most Significant Bit (d₁). With our tool, you need to enter the respective value for Feedback Resistance, Full Scale Voltage, Resistance, Least Significant Bit, 3rd Bit, 2nd 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, Full Scale Voltage, Resistance, Least Significant Bit, 3rd Bit, 2nd Bit & Most Significant Bit. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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