GATE CS 2020 Set 1 — Question 39
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Digital Logic → Number Systems & Arithmetic → Floating Point Arithmetic
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Question
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 , what is the value stored in R3?
Correct answer
(B) 0xC0800000
Solution
1.Decode R1 (0x42200000):
- Binary:
0 10000100 01000000000000000000000 - Sign: + (0)
- Exponent:
- Mantissa:
- Value:
- Binary:
1 10000010 01000000000000000000000 - Sign: - (1)
- Exponent:
- Mantissa:
- Value:
- Sign: 1
- Magnitude:
- Biased Exponent:
- Mantissa:
- Binary:
1 10000001 00000000000000000000000 - Hex: 0xC0800000
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