Base conversion — Convert the hexadecimal number 44 (base 16) to its decimal (base 10) value.

Difficulty: Easy

Correct Answer: 68

Explanation:


Introduction / Context:
Converting between numeral systems is routine in digital design. Hexadecimal is frequently used because two hex digits map neatly to one byte. Here, you must convert 0x44 to decimal using place-value weights of base 16.

Given Data / Assumptions:

  • Hex digits: 0–9, A–F, where A=10, B=11, …, F=15.
  • Number: 44_hex = 416^1 + 416^0.
  • 16^1 = 16 and 16^0 = 1.


Concept / Approach:
Apply positional weights. Each position in a base-16 number is a power of 16. Multiply each digit by its weight and sum the results to obtain the base-10 value.

Step-by-Step Solution:

Compute the high nibble: 4 * 16 = 64.Compute the low nibble: 4 * 1 = 4.Add them: 64 + 4 = 68.


Verification / Alternative check:

Cross-check with binary: 0x44 = 0100 0100₂. Convert to decimal via 64 + 4 = 68.


Why Other Options Are Wrong:

74: Would correspond to 0x4A (416 + 10).77: Would correspond to 0x4D (416 + 13).98: Would correspond to 0x62 (6*16 + 2).


Common Pitfalls:

Mixing decimal 44 with hex 0x44; they are different values.Forgetting that each hex place increases by powers of 16, not 10.


Final Answer:

68

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