In an 8-bit D/A converter, the reference voltage used is 10 V. What voltage is represented by 10100001?

Solution (By Examveda Team)

Here's the explanation:

First, understand what an 8-bit D/A converter does. It converts a digital (binary) number into an analog (voltage) value.

The question gives us the digital input: 10100001 and a reference voltage: 10V.

The reference voltage is the maximum possible output voltage.

An 8-bit converter can represent 2⁸ (which is 256) different voltage levels.

So, each step or increment in the digital value corresponds to a voltage change of Reference Voltage / 256. This is also known as the resolution.

In our case, the resolution is 10V / 256 ≈ 0.0390625V per step.

Next, convert the binary number 10100001 to decimal. 10100001₂ = (1 * 2⁷) + (0 * 2⁶) + (1 * 2⁵) + (0 * 2⁴) + (0 * 2³) + (0 * 2²) + (0 * 2¹) + (1 * 2⁰) = 128 + 32 + 1 = 161₁₀.

Now, to find the output voltage, multiply the decimal value (161) by the voltage per step (0.0390625V):
Output Voltage = 161 * 0.0390625 V ≈ 6.289 V

The closest answer among the options is 6.288 V.

Therefore, the answer is Option C: 6.288 V.