# number systems

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• Can you explain a number system?
• All number systems have a certain number of symbols and place values. The number of symbols is the same as on the base number and the place value is based off of the power of that base.﻿
• How are base 10 number systems different from base 8 number systems?
• All place values of a base 8 number system are powers of 8, whereas in a base 10 number system all place values are powers of 10.
• An example of a base 8 number systems is: 5238 = 5x8^2 + 2x8^1 + 3x8^0 = (320 + 16 + 3) =3398
• An example of a base 10 number system is: 52310 = 5x10^2 + 2x10^1 + 3x10^0 = (500 + 20 + 3)= 52310
• What is the purpose of a number system? ﻿
• Its purpose is to represent numbers!
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