An office uses an application to assign work to its staff members. The application uses a binary sequence to represent each of 100 staff members. What is the minimum number of bits needed to assign a unique bit sequence to each staff member?.

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19-09-2022
Computers and Technology

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An office uses an application to assign work to its staff members. The application uses a binary sequence to represent each of 100 staff members. What is the minimum number of bits needed to assign a unique bit sequence to each staff member?.

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Baraka1 Baraka1 · Answer 1 · 2022-09-21T18:14:13-04:00

The minimum number of bits required to assign a unique bit sequence is 7.

An office uses an application to assign work to its staff members. The application uses a binary sequence to represent each of 100 staff members. The minimum number of bits required to assign a unique bit sequence is 7. This means that there are a total of 2^7, or 128, possible combinations of bits that can be used to represent the staff members.

The office can use any combination of 7 bits to represent its staff members, but it must use a different combination for each staff member. For example, if the office has 100 staff members, it could use the following bit sequences to represent them:

0100001

0100010

0100011

0100101

0100110

0100111

0101000

Each of these bit sequences represents a different staff member. The office can use any other combination of 7 bits to represent the remaining staff members.

The office can use the application to assign work to its staff members by sending them a bit sequence that corresponds to the work that needs to be done. For example, if the office needs to assign work to staff member #1, it would send the following bit sequence:

0100001

This bit sequence would tell the staff member that they need to do work #1.

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