What is the optimal time complexity of solving Decimal to Hexadecimal Conversion?

The optimized solution achieves a time complexity of O(n) by using sorting, mathematical shortcuts, or hash table lookups.

What is the auxiliary space complexity for Decimal to Hexadecimal Conversion?

The space complexity is O(1) since we only use a minimal/constant amount of extra memory for tracking variables (or auxiliary space if dynamic structures are allocated).

What are the typical edge cases we must handle in Decimal to Hexadecimal Conversion?

Key edge cases include empty collections, negative or large bounds causing integer overflow, arrays with only one element, or inputs where target criteria are not met.

How can we optimize the brute force approach for Decimal to Hexadecimal Conversion?

Brute force methods often inspect all possible combinations. We optimize this by sorting the input list to enable binary search, or tracking processed items in a set to avoid redundant nested loop lookups.

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Python BasicsEasy

Decimal to Hexadecimal Conversion

Learn how to solve the 'Decimal to Hexadecimal Conversion' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

Write a function decimal_to_hex(n) that takes a non-negative integer n and returns a string representing its hexadecimal (base-16) equivalent using uppercase letters (A-F). Do not include leading zeros (except for input 0, which should return '0').

To convert, repeatedly divide by 16 and collect remainders (using A=10, B=11, ..., F=15) in reverse order.

Constraints

•0 <= n <= 10^6

Examples

Example 1

Input

decimal_to_hex(255)

Output

'FF'

Explanation

255 ÷ 16 = 15 remainder 15. 15 = F. So result is FF.

Example 2

Input

decimal_to_hex(26)

Output

'1A'

Explanation

26 ÷ 16 = 1 remainder 10. 10 = A. Result: 1A.

Example 3

Input

decimal_to_hex(100)

Output

'64'

Explanation

100 ÷ 16 = 6 remainder 4. Result: 64.

Need a Hint?

Use simple arithmetic operators (like modulo `%`, division `//`), conditional checks, or loops to inspect number properties.

Edge Cases to Watch

Empty list or null input variables
Single item lists/arrays
Extremely large input bounds causing integer or stack overflow

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