Three floating point numbers π, π, and π are stored in three registers RX,β¦
2025
Three floating point numbers π, π, and π are stored in three registers RX, RY, and RZ, respectively in IEEE 754 single precision format as given below in hexadecimal:
RX = 0xC1100000, RY = 0x40C00000, and RZ = 0x41400000
Which of the following option(s) is/are CORRECT?
- A.
4(π + π) + π = 0
- B.
2π β π = 0
- C.
4π + 3π = 0
- D.
π + π + π = 0
Attempted by 130 students.
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Correct answer: A, B, C
Convert the hex values to decimal (IEEE 754 single precision):
RX = 0xC1100000 β -9.0
RY = 0x40C00000 β 6.0
RZ = 0x41400000 β 12.0
Evaluate each equation using X = -9.0, Y = 6.0, Z = 12.0:
4(X + Y) + Z = 4(-9 + 6) + 12 = 4(-3) + 12 = -12 + 12 = 0 β holds.
2Y β Z = 2 * 6 β 12 = 12 β 12 = 0 β holds.
4X + 3Z = 4 * (-9) + 3 * 12 = -36 + 36 = 0 β holds.
X + Y + Z = -9 + 6 + 12 = 9 β 0 β does not hold.
Final answer:
The equations that evaluate to zero are 4(X + Y) + Z = 0, 2Y β Z = 0, and 4X + 3Z = 0.
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