Output Voltage of Binary Weighted Converter Calculator

✖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%
✖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%
✖Second Bit refers to the second digit or position in a binary number or binary code.ⓘ Second Bit [d₂]			+10% -10%
✖Third Bit refers to the third digit or position in a binary number or binary code.ⓘ Third Bit [d₃]			+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%

✖Weighted Binary Output Voltage reflects the analog equivalent of the digital input based on the contribution of each bit weighted by its position in the binary code.ⓘ Output Voltage of Binary Weighted Converter [V_o]

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Output Voltage of Binary Weighted Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2))
V_o = -V_ref*((d₁/16)+(d₂/8)+(d₃/4)+(d₄/2))
This formula uses 6 Variables

Variables Used

Weighted Binary Output Voltage - (Measured in Volt) - Weighted Binary Output Voltage reflects the analog equivalent of the digital input based on the contribution of each bit weighted by its position in the binary code.
Reference Voltage - (Measured in Volt) - Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion.
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.
Second Bit - Second Bit refers to the second digit or position in a binary number or binary code.
Third Bit - Third Bit refers to the third digit or position in a binary number or binary code.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_o = -V_ref*((d₁/16)+(d₂/8)+(d₃/4)+(d₄/2)) --> -2*((6.5/16)+(4/8)+(8/4)+(4.5/2))

Evaluating ... ...

V_o = -10.3125

STEP 3: Convert Result to Output's Unit

-10.3125 Volt --> No Conversion Required

FINAL ANSWER

-10.3125 Volt <-- Weighted Binary Output Voltage

(Calculation completed in 00.020 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 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 Binary Weighted Converter Formula

LaTeX Go

Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2))
V_o = -V_ref*((d₁/16)+(d₂/8)+(d₃/4)+(d₄/2))

What is the disadvantage of binary weighted type DAC?

Binary Weighted type DAV requires a large number of resistors. For a better resolution of output, the input binary word length has to be increased. As the number of bit increases, the range of resistance value increases.

How to Calculate Output Voltage of Binary Weighted Converter?

Output Voltage of Binary Weighted Converter calculator uses Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2)) to calculate the Weighted Binary Output Voltage, The Output Voltage of Binary Weighted Converter formula is the final effective output voltage for the binary-weighted network. Weighted Binary Output Voltage is denoted by V_o symbol.

How to calculate Output Voltage of Binary Weighted Converter using this online calculator? To use this online calculator for Output Voltage of Binary Weighted Converter, enter Reference Voltage (V_ref), Most Significant Bit (d₁), Second Bit (d₂), Third Bit (d₃) & Least Significant Bit (d₄) and hit the calculate button. Here is how the Output Voltage of Binary Weighted Converter calculation can be explained with given input values -> -10.3125 = -2*((6.5/16)+(4/8)+(8/4)+(4.5/2)).

FAQ

What is Output Voltage of Binary Weighted Converter?

The Output Voltage of Binary Weighted Converter formula is the final effective output voltage for the binary-weighted network and is represented as V_o = -V_ref*((d₁/16)+(d₂/8)+(d₃/4)+(d₄/2)) or Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2)). Reference Voltage is the stable voltage used as a standard to compare and regulate the output voltage during conversion, 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, Second Bit refers to the second digit or position in a binary number or binary code, Third Bit refers to the third digit or position in a binary number or binary code & 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.

How to calculate Output Voltage of Binary Weighted Converter?

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

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