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Suppose we are given frequency of cpu say 2GHZ then 1/2GHZ will be the instruction cycle time rt? I.e time to complete one instruction. Is instruction cycle time and cpu cycle time the same thing?

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Yes

Clock Rate: The clock speed typically refers to the frequency at which a chip like a central processing unit (CPU), one core of a multi-core processor, is running and is used as an indicator of the processor's speed.

Instruction cycle: An instruction cycle (also known as the fetch–decode–execute cycle or the fetch-execute cycle) is the basic operational process of a computer. It is the process by which a computer retrieves a program instruction from its memory, determines what actions the instruction dictates, and carries out those actions. This cycle is repeated continuously by a computer's central processing unit (CPU), from boot-up to when the computer is shut down.

2 ghz is clock rate. (frequency)

Time period = $\frac{1}{frequency }$

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