Bit Manipulation - Power of Four
You need to determine if a given positive integer n is a power of four. Which algorithmic pattern best fits this problem?
You need to determine if a given positive integer n is a power of four. Which algorithmic pattern best fits this problem?
easy🔍 Pattern Recognition Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand the problem requires checking if n = 4^k
This means n must have exactly one set bit and that bit must be at an even position (0-based).Step 2: Recognize bit manipulation pattern
Checking single set bit and using a mask like 0x55555555 to ensure the bit is at an even position is the key approach.Final Answer:
Option C -> Option CQuick Check:
Power of four check uses bitmask and single bit test [OK]
Quick Trick: Power of four requires single set bit at even position [OK]
Common Mistakes:
MISTAKES- Confusing power of two with power of four
- Using loops instead of bitmask
Trap Explanation:
PITFALL- Many candidates think checking single set bit is enough, missing the even position bitmask.
Interviewer Note:
CONTEXT- Tests candidate's ability to recognize bit manipulation pattern for power checks
Master "Power of Four" in Bit Manipulation
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