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

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

Options:

Correct Answer: 21

Solution:

\'B2\' = 11*5^1 + 2*5^0 = 55 + 2 = 57 in decimal.

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

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.

Base Conversion – Understanding how to convert numbers from one base to another, specifically from a base-5 system to decimal.
Representation of Digits – Recognizing that 'B' represents the value 11 in the context of the number system being used.