Output Voltage of Binary Weighted Converter Calculator

✖Reference Voltage in converter that can vary from zero volts on up to a maximum voltage level which is the used as the reference voltage.ⓘ Reference Voltage [V_ref]			+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%
✖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%
✖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%
✖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%

✖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

Formula

`"V"_{"o"} = -"V"_{"ref"}*(("d"_{"1"}/16)+("d"_{"2"}/8)+("d"_{"3"}/4)+("d"_{"4"}/2))`

Example

`"-10.3125V"=-"2V"*(("6.5"/16)+("4"/8)+("8"/4)+("4.5"/2))`

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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)+(2nd Bit/8)+(3rd 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 in converter that can vary from zero volts on up to a maximum voltage level which is the used as the reference voltage.
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.
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.
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.
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.

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
2nd Bit: 4 --> No Conversion Required
3rd 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 00.004 seconds)

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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

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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 Binary Weighted Converter Formula

Weighted Binary Output Voltage = -Reference Voltage*((Most Significant Bit/16)+(2nd Bit/8)+(3rd 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)+(2nd Bit/8)+(3rd 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), 2nd Bit (d₂), 3rd 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)+(2nd Bit/8)+(3rd Bit/4)+(Least Significant Bit/2)). Reference Voltage in converter that can vary from zero volts on up to a maximum voltage level which is the used as the reference voltage, 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, 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, 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 & 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.

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)+(2nd Bit/8)+(3rd Bit/4)+(Least Significant Bit/2)). To calculate Output Voltage of Binary Weighted Converter, you need Reference Voltage (V_ref), Most Significant Bit (d₁), 2nd Bit (d₂), 3rd Bit (d₃) & Least Significant Bit (d₄). With our tool, you need to enter the respective value for Reference Voltage, Most Significant Bit, 2nd Bit, 3rd 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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