A dynamic ram has refresh cycle of 32 times per msec. Each refresh operation requires 100 nsec and a memory cycle requires 250 nsec. What percentage of memorys total operating time is required for refreshes?
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The percentage of memory's total operating time required for refresh is 0.32 %
Explanation :
Memory cycle time = 250nsec = 250 x 10⁻⁹ s
Number of refreshes in 1 msec = 32
=>Number of refreshes in 1 s = 32000
=> Number of refreshes in 250 x 10⁻⁹ s = 32000 x 250 x 10⁻⁹
= 8 x 10⁻³
Time taken by 1 refresh cycle = 100 nsec = 100 x 10⁻⁹ = 10⁻⁷ s
=> Time taken by 8 x 10⁻³ refresh cycles = 8 x 10⁻³ x 10⁻⁷
= 8 x 10⁻¹⁰ sec
Hence percentage of time for refresh = 8x10⁻¹⁰/250x10⁻⁹ x100%
= 0.32 %
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