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1. Find the binary floating-point representation and the machine representation in IEEE double precision format for...

1. Find the binary floating-point representation and the machine representation in IEEE double precision format for the number 12.70 by hand. Show the complete working of this problem

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Answer #1 
12.7 in simple binary => 1100.1011001100110011001100110011001100110011001100110
so, 12.7 in normal binary is 1100.1011001100110011001100110011001100110011001100110 => 1.1001011001100110011001100110011001100110011001100110 * 2^3

double precision:
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sign bit is 0(+ve)
exp bits are (1023+3=130) => 10000000010
frac bits are 1001011001100110011001100110011001100110011001100110

so, 12.7 in double-precision format is 0 10000000010 1001011001100110011001100110011001100110011001100110
in hexadecimal it is 0x4029666666666666
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