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In a base-5 numeral system, what is the representation of the decimal number 12?

Practice Questions

Q1
In a base-5 numeral system, what is the representation of the decimal number 12?
  1. 22
  2. 23
  3. 24
  4. 21

Questions & Step-by-Step Solutions

In a base-5 numeral system, what is the representation of the decimal number 12?
  • Step 1: Understand that base-5 means we use digits 0, 1, 2, 3, and 4.
  • Step 2: To convert the decimal number 12 to base-5, we need to find how many times 5 fits into 12.
  • Step 3: Divide 12 by 5. The result is 2 with a remainder of 2 (12 ÷ 5 = 2 remainder 2).
  • Step 4: The quotient (2) tells us how many '5s' are in 12, and the remainder (2) is what is left over.
  • Step 5: Write the base-5 number using the quotient and remainder. The base-5 representation is 22 (which means 2*5^1 + 2*5^0).
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