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In a certain numeral system, the number '123' represents the decimal number 27. What is the value of '321' in the same system?

Practice Questions

1 question
Q1
In a certain numeral system, the number '123' represents the decimal number 27. What is the value of '321' in the same system?
  1. 72
  2. 81
  3. 90
  4. 99

Questions & Step-by-step Solutions

1 item
Q
Q: In a certain numeral system, the number '123' represents the decimal number 27. What is the value of '321' in the same system?
Solution: '123' in base 3 = 1*3^2 + 2*3^1 + 3*3^0 = 27. '321' in base 3 = 3*3^2 + 2*3^1 + 1*3^0 = 81.
Steps: 0

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