An analog voltage of 3.41 V is converted into 8-bit digital form by an A/D converter with a reference voltage of 5 V. The digital output is (b) 11110001 (c) 10110111 (d) 10101110?

Question

Answer

Explanation:

To convert an analog voltage into digital form, an Analog-to-Digital (A/D) converter is used. In this case, the analog voltage is 3.41 V, and the A/D converter has a reference voltage of 5 V. We need to determine the digital output based on the given options.

Conversion Formula:

The conversion formula for an 8-bit A/D converter is given by:

Digital Output = (Analog Voltage / Reference Voltage) * (2^N - 1)

Where N is the number of bits in the digital output.

Calculating the Digital Output:

Let's calculate the digital output using the given analog voltage and reference voltage:

Digital Output = (3.41 V / 5 V) * (2^8 - 1)
= (0.682) * (256 - 1)
= 0.682 * 255
= 174.21

The calculated digital output is approximately 174.21.

Comparing with the Given Options:

Now, let's compare the calculated digital output with the given options to determine the correct one:

(b) 11110001: This binary representation is equivalent to 241 in decimal. It does not match the calculated digital output of 174.21.

(c) 10110111: This binary representation is equivalent to 183 in decimal. It does not match the calculated digital output of 174.21.

(d) 10101110: This binary representation is equivalent to 174 in decimal. It matches the calculated digital output of 174.21.

Therefore, the correct digital output for the given analog voltage of 3.41 V and reference voltage of 5 V is option (d) 10101110.

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