IEEE 754 Floating-Point

This section includes exercises on 32-bit IEEE 754 floating-point representation and its conversion with decimal.

How to use an exercise:

Exercise 1. Convert 32-bit IEEE 754 to Decimal

Reference: IEEE 754 32-bit -> decimal.

1. Generate a random 32-bit IEEE 754 number:

2. Please convert it to decimal:
(provide a final value or express it as 2^x + ... + 2^y)		 -
3. Now check your work:

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4. Show the solution:

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Exercise 2. Convert Decimal to 32-bit IEEE 754

Reference: decimal -> IEEE 754 32-bit and biased representation (for biased exponent).

1. Generate a random decimal number:

2. Please convert it to 32-bit IEEE 754:
(three sections: 1-bit sign, 8-bit exp, 23 bits)		 -
3. Now check your work:

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4. Show the solution:

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Last Update: December 8, 2022
Created: August 27, 2019