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Output Voltage of Binary Weighted Converter Formula

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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. Check FAQs

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

V_o - Weighted Binary Output Voltage?V_ref - Reference Voltage?d₁ - Most Significant Bit?d₂ - Second Bit?d₃ - Third Bit?d₄ - Least Significant Bit?

Output Voltage of Binary Weighted Converter Example

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Here is how the Output Voltage of Binary Weighted Converter equation looks like with Values.

Here is how the Output Voltage of Binary Weighted Converter equation looks like with Units.

Here is how the Output Voltage of Binary Weighted Converter equation looks like.

-10.3125 = - 2 \cdot ((\frac{6.5}{16}) + (\frac{4}{8}) + (\frac{8}{4}) + (\frac{4.5}{2}))

-10.3125V = - 2V \cdot ((\frac{6.5}{16}) + (\frac{4}{8}) + (\frac{8}{4}) + (\frac{4.5}{2}))

-10.3125 = - 2 \cdot ((\frac{6.5}{16}) + (\frac{4}{8}) + (\frac{8}{4}) + (\frac{4.5}{2}))

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Signal Generator and Analyzer » fx Output Voltage of Binary Weighted Converter

Output Voltage of Binary Weighted Converter Solution

Follow our step by step solution on how to calculate Output Voltage of Binary Weighted Converter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V o = - 2V \cdot ((\frac{6.5}{16}) + (\frac{4}{8}) + (\frac{8}{4}) + (\frac{4.5}{2}))

Next Step Prepare to Evaluate

∴

V o = - 2 \cdot ((\frac{6.5}{16}) + (\frac{4}{8}) + (\frac{8}{4}) + (\frac{4.5}{2}))

LAST Step Evaluate

∴

V o = -10.3125V

Output Voltage of Binary Weighted Converter Formula Elements

Variables

Weighted Binary Output Voltage

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.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Weighted Binary Output Voltage

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.

Formulas to find Reference Voltage

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.

Formulas to find Most Significant Bit

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.

Formulas to find Second Bit

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.

Formulas to find Third Bit

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.

Formulas to find Least Significant Bit

Other formulas in Digital to Analog category

Go Output Voltage of R-2R Linear Converter

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}))

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}))

How to Evaluate Output Voltage of Binary Weighted Converter?

Output Voltage of Binary Weighted Converter evaluator uses Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2)) to evaluate 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 evaluate Output Voltage of Binary Weighted Converter using this online evaluator? To use this online evaluator 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.

FAQs on Output Voltage of Binary Weighted Converter

What is the formula to find Output Voltage of Binary Weighted Converter?

The formula of Output Voltage of Binary Weighted Converter is expressed as Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(Second Bit/8)+(Third Bit/4)+(Least Significant Bit/2)). Here is an example- -10.3125 = -2*((6.5/16)+(4/8)+(8/4)+(4.5/2)).

How to calculate Output Voltage of Binary Weighted Converter?

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

Can the Output Voltage of Binary Weighted Converter be negative?

Yes, the Output Voltage of Binary Weighted Converter, measured in Electric Potential can be negative.

Which unit is used to measure Output Voltage of Binary Weighted Converter?

Output Voltage of Binary Weighted 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 Binary Weighted Converter can be measured.

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Output Voltage of Binary Weighted Converter Formula

Output Voltage of Binary Weighted Converter Example

Output Voltage of Binary Weighted Converter Solution

Output Voltage of Binary Weighted Converter Formula Elements

Other formulas in Digital to Analog category

How to Evaluate Output Voltage of Binary Weighted Converter?

FAQs on Output Voltage of Binary Weighted Converter

Variable Name