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A microprocessor whose processing speed or clock speed of is 2.5 GHz, then the length of each full clock cycle should be _________ picoseconds (i.e., 10base-12 seconds).

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Final answer:

The length of each full clock cycle for a microprocessor with a clock speed of 2.5 GHz is 400 picoseconds. This is calculated by taking the reciprocal of the frequency (2.5 GHz) and then converting that value from seconds to picoseconds.

Step-by-step explanation:

To calculate the length of each full clock cycle in picoseconds for a microprocessor with a clock speed of 2.5 GHz, we can use the relationship between frequency and time period. The frequency in hertz (Hz) is the number of cycles per second, and the time period is the duration of one full cycle. Since 1 Hz is 1 cycle per second, and 1 GHz is 1 billion (109) cycles per second, a 2.5 GHz processor completes 2.5 billion cycles per second.

To find the length of one cycle, we take the reciprocal of the frequency and then convert the result to picoseconds. The reciprocal of 2.5 GHz (2.5 x 109 Hz) is 4 x 10-10 seconds per cycle, which equals 400 picoseconds (since 1 picosecond is 10-12 seconds). Therefore, the length of each full clock cycle for a microprocessor with a clock speed of 2.5 GHz is 400 picoseconds.

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