If Vin is 0.99 V, what is the digital output of the ADC 0801 after INT...
Given: Vin = 0.99 V
ADC0801 is an 8-bit analog to digital converter.
It has a resolution of 2^8 = 256 levels.
The input voltage range of the ADC is from 0 to 5 V.
The conversion formula for the ADC0801 is given as:
Digital output = (Vin / Vref) * 256
where Vref is the reference voltage, which is equal to 5 V for the ADC0801.
Calculating the digital output:
Digital output = (0.99 V / 5 V) * 256
= 50.664
The digital output is a binary number, so we need to convert the decimal number 50.664 to binary.
The integer part of the number is 50, which is equal to 0011 0010 in binary.
The fractional part of the number is 0.664. To convert this to binary, we can multiply it by 2 and take the integer part of the result. This gives:
0.664 * 2 = 1.328
integer part = 1
0.328 * 2 = 0.656
integer part = 0
0.656 * 2 = 1.312
integer part = 1
0.312 * 2 = 0.624
integer part = 0
and so on...
Continuing this process for 8 bits, we get:
0.664 * 2 = 1.328 --> 1
0.328 * 2 = 0.656 --> 0
0.656 * 2 = 1.312 --> 1
0.312 * 2 = 0.624 --> 0
0.624 * 2 = 1.248 --> 1
0.248 * 2 = 0.496 --> 0
0.496 * 2 = 0.992 --> 0
0.992 * 2 = 1.984 --> 1
So the final binary value is:
0011 0010.1010
However, the ADC0801 only outputs an 8-bit digital value, so we need to round the binary number to the nearest 8-bit value.
The 9th bit is a 1, so we round up to the next 8-bit value, which is:
0011 0011
Therefore, the digital output of the ADC0801 after INTER goes low is option 'A' - 0011 0011.
If Vin is 0.99 V, what is the digital output of the ADC 0801 after INT...
When the input voltage (Vin) to an ADC0801 is 0.99 V, the digital output after the INTER (Interrupt) signal goes low is 0011 0011. The INTER signal going low indicates that the analog-to-digital conversion is complete and the digital output is ready to be read.
Calculation Steps
The digital output of an ADC is determined by the following formula:
Digital Value = (V_in / V_ref) * 2^n
Here is a breakdown of the calculation for this specific case:
Define the variables:
V_in (Input Voltage): 0.99 V (given).
V_ref (Reference Voltage): For the ADC0801, a standard V_ref is 5 V.
n (Number of bits): The ADC0801 is an 8-bit converter, so n = 8. This means there are 2⁸, or 256, possible digital values.
Calculate the decimal equivalent:
Round to the nearest integer:
Convert to binary:
The final step is to convert the decimal value 51 into an 8-bit binary number.
51 in binary is 110011.
To express this as an 8-bit value, it is padded with leading zeros: 0011 0011.