1.what is basic performance equation?illustrate using an example

The basic performance equation in computer science refers to the formula that calculates the overall performance of a computer system. It takes into account various factors such as the execution time, number of instructions, and clock rate.

The basic performance equation can be represented as:

Performance = (Number of Instructions) x (CPI) x (Clock Cycle Time)

Where:
- Number of Instructions refers to the total number of instructions executed by the system.
- CPI (Cycles Per Instruction) is the average number of clock cycles required to execute each instruction.
- Clock Cycle Time represents the time taken by the clock to complete one cycle.

Example:
Let's assume we have a computer system that executes a program containing 1000 instructions. The average number of clock cycles required to execute each instruction is 2, and the clock cycle time is 1 nanosecond.

To calculate the performance, we can use the basic performance equation:

Performance = 1000 x 2 x 1 nanosecond

Performance = 2000 nanoseconds

So, the performance of the system in this example is 2000 nanoseconds.