The clock frequency of an 8085 microprocessor is 5 MHz. If the time required to execute an instruction is 1.4 μs, then the number of T-states needed for executing the instruction is
7
To determine the number of T-states required to execute an instruction on an 8085 microprocessor, we need to understand the relationship between clock frequency, time period, and T-states.
The clock frequency is the rate at which the microprocessor operates. The time period is the duration of one complete clock cycle. They are inversely related.
Given:
First, let's convert the frequency to Hertz (Hz):
\( f = 5 \text{ MHz} = 5 \times 10^6 \text{ Hz} \)
The time period (\(T\)) of one clock cycle is given by the formula:
\( T = \frac{1}{f} \)
Substituting the given frequency:
\( T = \frac{1}{5 \times 10^6 \text{ Hz}} = 0.2 \times 10^{-6} \text{ s} \)
We can express this time in microseconds (\(\mu\text{s}\)), since \(1 \times 10^{-6} \text{ s} = 1 \mu\text{s}\):
\( T = 0.2 \mu\text{s} \)
In an 8085 microprocessor, one T-state (or Clock State) corresponds to one clock period. Therefore, the time duration of one T-state is 0.2 \(\mu\text{s}\).
Given:
To find the number of T-states needed for executing the instruction, we divide the total instruction execution time by the time duration of a single T-state:
Number of T-states = \( \frac{\text{Instruction execution time}}{\text{Time per T-state}} \)
Substituting the values:
Number of T-states = \( \frac{1.4 \mu\text{s}}{0.2 \mu\text{s}} \)
Number of T-states = \( 7 \)
Here's a quick summary of the steps involved in calculating the T-states:
| Parameter | Value |
|---|---|
| Clock Frequency (\(f\)) | 5 MHz |
| Time Period of one clock cycle (\(T = 1/f\)) | \(1 / (5 \times 10^6 \text{ Hz}) = 0.2 \mu\text{s}\) |
| Time duration of one T-state | 0.2 \(\mu\text{s}\) |
| Instruction execution time | 1.4 \(\mu\text{s}\) |
| Number of T-states | \(1.4 \mu\text{s} / 0.2 \mu\text{s} = 7\) |
Therefore, 7 T-states are needed for executing the instruction.
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