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An embedded C program is used to generate the square waveform using timer 0 in mode 2. The TH0 is loaded with 48h. What is the frequency of the square waveform.1500250010002000

Question

An embedded C program is used to generate the square waveform using timer 0 in mode 2. The TH0 is loaded with 48h. What is the frequency of the square waveform.1500250010002000

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Solution

To calculate the frequency of the square waveform, we need to follow these steps:

  1. First, we need to understand that the timer 0 is in mode 2, which is an 8-bit auto-reload mode. This means that the timer will automatically reload to the value in TH0 (48h in this case) after it overflows.

  2. The value 48h is in hexadecimal. Converting it to decimal, we get 72.

  3. The timer counts up to 256, so the number of machine cycles for the timer to overflow is 256 - 72 = 184.

  4. Each machine cycle in a standard 8051 microcontroller (which is typically used for embedded C programming) is 12 oscillator periods.

  5. So, the total number of oscillator periods for the timer to overflow is 184 * 12 = 2208.

  6. If we assume that the oscillator frequency is 11.0592 MHz (a common frequency for 8051 microcontrollers), the time for one oscillator period is 1 / 11.0592 MHz = approximately 90.38 ns.

  7. Therefore, the time for the timer to overflow is 2208 * 90.38 ns = approximately 199.6 µs.

  8. Since a square wave consists of a high period and a low period, the time for one complete cycle of the square wave is 2 * 199.6 µs = approximately 399.2 µs.

  9. Finally, the frequency of the square wave is the reciprocal of the time for one complete cycle, which is 1 / 399.2 µs = approximately 2.5 kHz.

So, the frequency of the square waveform is approximately 2.5 kHz.

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