Computer Organization and Architecture · Number Representation and Arithmetic
Official IIT answer key · IIT Delhi · Audited Aug 2026
GATE CSE 2020 Q29 · MCQ · 2 marks
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Topic notes
GATE tests Number Representation and Arithmetic by evaluating candidates' ability to decode hexadecimal representations of IEEE-754 floating-point numbers into their true decimal values, perform arithmetic operations (such as division or multiplication), and re-encode the computed result back into the standard binary/hexadecimal format. Precision in field alignment (sign, biased exponent, and fractional mantissa) is central to solving these problems accurately.
Full Number Representation and Arithmetic guide →Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively. If R3 = R1R2, what is the value stored in R3?
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