To find the analog output voltage of a 5 -bit, R-2R, D/A converter, you can use the following formulas: $$ V_{0}=\operatorname{Din}_{( ext {ratio })} \cdot V $$ ref where $$ \operatorname{Din}_{( ext {ratio) }}=\mathrm{B} 1 / 2+\mathrm{B} 2 / 4+\ldots+\mathrm{Bn} / 2^{n} $$ If the reference voltage is 10 V and the digital input D is 10100 binary, what is $$ \mathrm{Din}_{ ext {ratio }} $$ ? Round your answer to 3 decimal places.

Question

To find the analog output voltage of a 5 -bit, R-2R, D/A converter, you can use the following formulas: $$ V_{0}=\operatorname{Din}_{(	ext {ratio })} \cdot V $$ ref where $$ \operatorname{Din}_{(	ext {ratio) }}=\mathrm{B} 1 / 2+\mathrm{B} 2 / 4+\ldots+\mathrm{Bn} / 2^{n} $$ If the reference voltage is 10 V and the digital input D is 10100 binary, what is $$ \mathrm{Din}_{	ext {ratio }} $$ ? Round your answer to 3 decimal places.

UpStudy AI · Accepted Answer

To find the analog output voltage of a 5-bit, R-2R, D/A converter, we need to calculate the digital input ratio $$ \mathrm{Din}_{\text {ratio }} $$ first.

Given:
- Reference voltage $$ V_{\text {ref}} = 10 \, \text{V} $$
- Digital input $$ D = 10100 $$ in binary

The formula for $$ \mathrm{Din}_{\text {ratio }} $$ is:
$$ \mathrm{Din}_{\text {ratio }} = \frac{B_1}{2} + \frac{B_2}{4} + \ldots + \frac{B_n}{2^n} $$

Where:
- $$ B_1, B_2, \ldots, B_n $$ are the binary digits of the digital input $$ D $$.

Let's calculate $$ \mathrm{Din}_{\text {ratio }} $$ for the given digital input $$ D = 10100 $$ in binary.

1. Convert the binary number to decimal:
$$ D = 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 = 16 + 0 + 4 + 0 + 0 = 20 $$

2. Calculate $$ \mathrm{Din}_{\text {ratio }} $$:
$$ \mathrm{Din}_{\text {ratio }} = \frac{1}{2} + \frac{0}{4} + \frac{1}{8} + \frac{0}{16} + \frac{0}{32} = \frac{1}{2} + \frac{1}{8} = \frac{5}{8} $$

Therefore, $$ \mathrm{Din}_{\text {ratio }} = \frac{5}{8} $$.

Now, we can calculate the analog output voltage using the formula $$ V_{0} = \mathrm{Din}_{\text {ratio }} \cdot V_{\text {ref}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5}{8}$$
The value of $$ \mathrm{Din}_{\text {ratio }} $$ is 0.625.

Now, we can calculate the analog output voltage using the formula $$ V_{0} = \mathrm{Din}_{\text {ratio }} \cdot V_{\text {ref}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$0.625\times 10$$
- step1: Multiply the numbers:
  $$6.25$$
The analog output voltage $$ V_{0} $$ is 6.25 V.
$$ \mathrm{Din}_{\text{ratio}} = 0.625 $$

To find the analog output voltage of a 5 -bit, R-2R, D/A converter, you can use the following formulas:
ref
where
If the reference voltage is 10 V and the digital input D is 10100 binary, what is ?
Round your answer to 3 decimal places.

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Engineering Questions

To find the analog output voltage of a 5 -bit, R-2R, D/A converter, you can use the following formulas: ref where If the reference voltage is 10 V and the digital input D is 10100 binary, what is ? Round your answer to 3 decimal places.