We need to practice with converting floating point numbers using the IEEE standa

Question

We need to practice with converting floating point numbers using the IEEE standard. A quick trip to a physics textbook, Wikipedia, and Google reveals these physical constants. Convert each to a 64-bit floating point number following the IEEE standard. Show your work, and give the final result expressed in hexadecimal notation. (Don't worry about the physical units.) Avogadro's Number NA = 6.022140857 times 10^23 mol^-1 Mass of an electron m = 9.10938356 times 10^-31 kg Coulomb's constant k_c = 8.9875517873681764 times 10^9 N middot m^2/C^2 Going the other way: here are two IEEE 64-bit floating point numbers. Convert them to decimal representation, and see if you can figure out what physics constant is represented. $3D A3 78 76 F1 48 11 2E $3F 55 15 37 0F 97 60 38

Explanation / Answer

Avogadro number in Hex: 0x44 DF E1 85 D2 F5 4B 67

Mass of an electron: 0x39 B2 79 DC C3 E6 14 61

coulomb's Constant: 0x42 00 BD 99 41 5A F2 06

Other Way:

8.85418781700000047157054854521E-12 - Permittivity

1.28679635087359904577208880028E-3 - Magnetic permiability

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