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o-na [289]
3 years ago
15

Consider the following 32 bit binary representation of the value using IEEE 754 single precision floating point representation.

Show the corresponding signed number in decimal.
01000001001010100000000000000000
Computers and Technology
1 answer:
Llana [10]3 years ago
3 0

Answer:

10.625

Explanation:

The given binary single precision floating point number in IEEE 754 format is:

01000001001010100000000000000000

Dividing it into respective components:

Here sign bit (1 bit): 0

Exponent ( 8 bit) : 10000010

Mantissa (23 bit) : 01010100000000000000000

The exponent corresponds to 1 (if we add 127 to the given binary value)

The mantissa corresponds to 1.0625 ( on appending 1)

So the overall number is 1.0625 * 10 ^1 = 10.625

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