Decimal floating to binary

Hi, I need to convert 1x10^50 decimal floating point to 32 bit binary.

The mantissa is 24 bit and the exponent is 8 bit.

Exponent has a bias of 127 instead of a sign bit.

To try the program with several other numbers including 1x10^30 and 1x10^-50

Thank you.

[Jan]

What have you tried so far and what is your question?

[James Tursa]

Is the leading mantissa bit hidden or present? Do you want the result as a bit pattern contained in e.g. a uint32? Or do you just want the result in a char string of 1's and 0's for you to examine?

Answer 1

[Walter Roberson]

1E50 cannot be represented by that scheme. The maximum that can be represented with an 8 bit exponent with bias 128 is 2^127 which is about 1e38. The smallest would be about 1 over that, divided by 2 (you can get one division further because of the -128 vs +127)

You would need a bias of 167 to represent 1E50