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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?
A 5
B 6
C 7
D 8

Respuesta :

Answer: I believe the answer is: A, 5.

Explanation:

fichoh

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

Binary numbers are represented as 0's and 1's

  • Let n = number of bits
  • [tex] {2}^{n} = required \: sequence[/tex]

Therefore,

  • [tex] {2}^{n} \geqslant 100[/tex]

The whole number value of n, which is greater than or equal to 100;

  • [tex] {2}^{7} = 128[/tex]

The value of n which satisfies the inequality is 7

Therefore, the minimum number of bits required is 7.

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