SUMMARY
The correct conversion of the signed hexadecimal value -8230 to decimal is -32208. The process involves calculating the two's complement of the hexadecimal value. The correct steps are to first find the one's complement of 8230, which is 7DCF, and then add 1, resulting in 7DD0. This value converts to 32208 in decimal, confirming that the final answer should be -32208, not -32214 as initially calculated.
PREREQUISITES
- Understanding of hexadecimal and decimal number systems
- Knowledge of two's complement representation
- Familiarity with binary arithmetic operations
- Basic programming skills for implementing conversions (optional)
NEXT STEPS
- Study the process of converting hexadecimal to decimal using two's complement
- Learn about binary arithmetic operations, specifically one's and two's complement
- Explore programming libraries or tools for hexadecimal conversions, such as Python's built-in functions
- Review common pitfalls in number base conversions to avoid similar mistakes
USEFUL FOR
Students in computer science, software developers working with low-level programming, and anyone needing to perform hexadecimal to decimal conversions accurately.