Always show clearly all calculations used to get your answers. Do not just give

Question

Always show clearly all calculations used to get your answers. Do not just give final answers Numbers are in decimal unless otherwise indicated A multinational company has employees in 25 different countries. The number of employees in any given country does not exceed 26,500 persons. You were asked to design a binary employee code, having the following 3 fields: Country. Employee (within the country) and Gender (Male/female). a. Determine the minimum number of bits required for each field. b. What is the maximum number of additional new employees that can still be accommodated in the Employee field above.

Explanation / Answer

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country code needs to handle 25 numbers that needs 5 bits

gender needs 1 bit 0 male, 1 female or 1 male 0 female

employee   bits-26500 needs 15 bits since in binary 25,600 is 110011110000100

there is room for 6267 more employees

111111111111111-110011110000100=1100001111011 = 6267

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