   Chapter 11.3, Problem 1ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Suppose a computer takes 1 nanosecond ( = 10 − 9 second) to execute each operation. Approximately how long will it take the computer to execute the following numbers of operations? Convert your answers into seconds, minutes, hours, days, weeks, or years, as appropriate. For example, instead of 2 50 nanoseconds, write 13 days. a. log 2 200 b. 200 c. 200   log 2   200 d. 200 2 e. 200 8 f. 2 200

To determine

(a)

How long will it take for the computer to execute the number of operation log2200

Explanation

Given information:

log2200

Concept used:

logab=loga+logb

Calculation:

log2200=log2(2× 102)since 200=2×102=log22+2log210by the properties of logs=1+21 log 102since log22=1and log210=1 log 102=1+2×3

To determine

(b)

How long will it take for the computer to execute the number of operation 200 ns

To determine

(c)

How long will it take for the computer to execute the number of operation 200log2200

To determine

(d)

How long will it take for the computer to execute the number of operation 2002 ns

To determine

(e)

How long will it take for the computer to execute the number of operation 2008 ns

To determine

(f)

How long will it take for the computer to execute the number of operation 2008 ns

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