An analog voltage of 3.41 V is converted into 8-bit digital form by an...
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.