In a number system where 'B' represents 11, what is the value of 'B2' in decimal

Practice Questions

Q1
In a number system where 'B' represents 11, what is the value of 'B2' in decimal?
  1. 12
  2. 22
  3. 21
  4. 20

Questions & Step-by-Step Solutions

In a number system where 'B' represents 11, what is the value of 'B2' in decimal?
  • Step 1: Understand that 'B' represents the number 11 in this number system.
  • Step 2: Identify the base of the number system. Here, it is base 5.
  • Step 3: Break down 'B2' into its components: 'B' is in the 5^1 place and '2' is in the 5^0 place.
  • Step 4: Calculate the value of 'B' in decimal: B = 11, so 11 * 5^1 = 11 * 5 = 55.
  • Step 5: Calculate the value of '2' in decimal: 2 * 5^0 = 2 * 1 = 2.
  • Step 6: Add the two values together: 55 + 2 = 57.
  • Step 7: Conclude that the value of 'B2' in decimal is 57.
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