In a numeral system where the digits are 0, 1, 2, 3, and 4, what is the value of

Practice Questions

Q1
In a numeral system where the digits are 0, 1, 2, 3, and 4, what is the value of '34' in decimal?
  1. 12
  2. 14
  3. 16
  4. 18

Questions & Step-by-Step Solutions

In a numeral system where the digits are 0, 1, 2, 3, and 4, what is the value of '34' in decimal?
  • Step 1: Identify the base of the numeral system. Here, the base is 5 because the digits are 0, 1, 2, 3, and 4.
  • Step 2: Write down the number '34'. The first digit (3) is in the '5^1' place, and the second digit (4) is in the '5^0' place.
  • Step 3: Calculate the value of the first digit: 3 * 5^1 = 3 * 5 = 15.
  • Step 4: Calculate the value of the second digit: 4 * 5^0 = 4 * 1 = 4.
  • Step 5: Add the values from Step 3 and Step 4 together: 15 + 4 = 19.
  • Step 6: The final result is that '34' in base 5 equals 19 in decimal.
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