Question

A type K thermocouple with a 0∘C reference will be used to measure temperature between 250∘C and 400∘C. Describe the equation of a system that will convert this temperature range into an 8-bit digital word with conversion from 00H to 01H at 250∘C and the change from FEH to FFH occurring at 400∘C. An ADC is available with a 2.500−V internal reference.

Answer 1

To convert the temperature range of 250°C to 400°C into an 8-bit digital word, you can use an analog-to-digital converter (ADC). The voltage range and steps can be calculated based on the reference voltage, temperature range, and number of digital steps. The digital word for any temperature can be determined by dividing the voltage difference by the voltage step size and converting it to hexadecimal format.

Step-by-step explanation:

To convert the temperature range of 250°C to 400°C into an 8-bit digital word, you can use an analog-to-digital converter (ADC). First, you need to calculate the voltage range corresponding to the temperature range. From the given information, the reference voltage is 2.500V, and at 250°C, the digital word is 00H, while at 400°C, the digital word is FFH. The voltage range can be calculated by dividing the temperature range by the slope of the thermocouple. Then, you can calculate the voltage step size by dividing the voltage range by the number of digital steps (256 for an 8-bit word). Finally, you can determine the digital word for any temperature within the range by dividing the voltage difference between the reference voltage and the temperature voltage by the voltage step size and converting it to hexadecimal format.