What is the process to convert a number from any base to decimal?
Candidates must explain base conversion algorithms. This tests positional notation understanding and loop accumulation.
Why Interviewers Ask This
Base conversion is a common algorithmic problem that tests mathematical understanding of number systems. Interviewers want to see if candidates can implement the positional value summation logic correctly. It also checks handling of different bases and digit validity.
How to Answer This Question
Explain iterating through the digits from right to left. Multiply each digit by the base raised to the power of its position index. Sum these products to get the decimal value. Discuss validation of digits against the base.
Key Points to Cover
- Positional value
- Base exponentiation
- Accumulation loop
- Digit validation
Sample Answer
To convert a number from any base to decimal, I iterate through the digits from right to left. For each digit, I multiply it by the base raised to the power of its position index (starting from 0). I accumulate these pro…
Common Mistakes to Avoid
- Wrong power index calculation
- Ignoring digit validity
- Incorrect direction of iteration
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