Floating point representation

Question

If the decimal number is 3.248 x 10⁴ ,then its equivalent floating number in IEEE 754 standard is ?

Answer 1

Number is 3.248 * 10⁴  = 32480

its binary equivalent is 111111011100000 = 1.11111011100000 * 2¹⁴

Hence in ieee single precision => excess 127 = 127 + 14 = 141 Hence exponent = 10001101

0

10001101

11111011100000000000000

Comments

I am unable to understand your explanation of answer can you explain in detail?? My binary value of 32480 is coming  111001100000

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Nehapa   perhaps u r converting  3248

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Binay equivalent of 32840 is$=1000000001001000$ and not the one given in the selected answer.

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it will be 2^15 at the exponent