SUMMARY
The 2's complement of the hexadecimal number 0x3D9E is calculated by first determining its 1's complement and then adding one. The correct process involves subtracting 0x3D9E from 0xFFFF, resulting in 0xC261, followed by adding one, yielding 0xC262. Therefore, the correct answer is option c) C262. This method is essential for converting positive binary numbers to their negative counterparts in binary arithmetic.
PREREQUISITES
- Understanding of hexadecimal number representation
- Knowledge of binary arithmetic operations
- Familiarity with 2's complement and 1's complement concepts
- Experience with basic subtraction in hexadecimal
NEXT STEPS
- Learn about binary arithmetic operations in detail
- Study the process of converting between binary and hexadecimal
- Explore the applications of 2's complement in computer systems
- Investigate error detection methods using 2's complement
USEFUL FOR
Students studying computer science, software engineers working with low-level programming, and anyone interested in understanding binary arithmetic and number representation in computing.