Write down the binary representation of the decimal number 126.5 assuming the IEEE 754 single precision...

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Write down the binary representation of the decimal number 126.5 assuming the IEEE 754 single precision...

Write down the binary representation of the decimal number 126.5 assuming the IEEE 754 single precision format. (Show your steps)

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Answer 1

Answer #1

126.5
126.5 in simple binary => 1111110.1
so, 126.5 in normal binary is 1111110.1 => 1.1111101 * 2^6

single precision:
--------------------
sign bit is 0(+ve)
exp bits are (127+6=133) => 10000101
frac bits are 11111010000000000000000

so, 126.5 in single-precision format is 0 10000101 11111010000000000000000
in hexadecimal it is 0x42FD0000

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Answer 2

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