Question

In this question, you are provided with a decimal floating-point number.

You are asked to encode this value into its IEEE-754 floating-point representation in the form of 8 hexadecimal digits.

If rounding is needed, use rounding to the nearest floating-point number.

Do NOT add any spaces or commas to your answer.

Represent, i.e., encode, 262160.515625 into a 32-bit single-precision IEEE-754 FP value.

If rounding is needed, use rounding to the nearest FP number.

Your answer MUST BE JUST 8 hexadecimal digits.

Write each hexadecimal digit in a field by itself.

0x    

------------------------------------------

Represent, i.e., encode, 262208.078125 into a 32-bit single-precision IEEE-754 FP value.

If rounding is needed, use rounding to the nearest FP number.

Your answer MUST BE JUST 8 hexadecimal digits.

Write each hexadecimal digit in a field by itself.

0x    

Answer 1

Solution:

1. Decimal floating - point number: 262160.515625

Rounding off: 262160.5

  32-bit single-precision IEEE-754 FP value: 01001000100000000000001000010000

Hexadecimal Representation: 0x48800210

----------------------------------------------------------------------------------------------------------------------------

2. Decimal floating - point number: 262208.078125

Rounding off: 262208.0625

  32-bit single-precision IEEE-754 FP value: 01001000100000000000100000000010

Hexadecimal Representation: 0x48800802