Convert the octal number 743 to hexadecimal, showing all steps.
Why is Unicode for numerical software, and how does it differ from BCD?
Perform the binary subtraction 110110 – 011011 using two’s complement.
Compute the bitwise operation (110011 AND 1100) OR (1011 XOR 0011).
Explain the role of number systems in memory addressing and how two’s complement affects arithmetic.
Answers and Descriptions
Answer: 743 (octal) → 111100011 (binary) → F1 (hex).
Description: Binary as intermediary for conversion.Answer: Unicode for multilingual (8–32); BCD for digits (4 bits/digit).
Description: Unicode for text, BCD for displays.Answer: 110110 – 011011 = 011011 (two’s complement).
Description: Subtraction via addition.Answer: (1011 AND 1100) = 1000; (1011 XOR 0011) = 1000; 1000 OR 1000 = 1000.
Description: Combines multiple operations.Answer: Binary/hex for addresses; two’s complement for efficient arithmetic.
Description: Links number systems to system design.