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9 bits would you need to store the number 500.

What is bite?

  • The smallest piece of data that a computer can process and store is a bit (binary digit).
  • Similar to an on/off light switch, a bit is always in one of two physical states.
  • Usually a 0 or 1, the state is represented by a single binary integer. However, yes/no, on/off, or true/false can also be used to describe the state.

The number of digit in base 2 required to represent 500 base 10 can be found with the equation.

b=log2(500)

The only problem with this is that unless the operand is exactly a power of two you will get a fractional number of bits What you really want is the next whole number of bits greater than that indicated by the equation. This is indicated by using the “ceiling” notation.

b= ⌈log2(500)⌉

log2(500)= 8.96...

⌈8.96…⌉=  9

Thus, a minimum of 9 bits are required to represent 500 base 10.

Learn more about bits

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