Decimal to Floating Point Conversion

To convert a decimal number to binary floating point representation:

1. Convert the absolute value of the decimal number to a binary integer plus a binary fraction.
2. Normalize the number in binary scientific notation to obtain m and e.
3. Set s=0 for a positive number and s=1 for a negative number.

To convert 22.625 to binary floating point:

1. Convert decimal 22 to binary 10110. Convert decimal 0.625 to binary 0.101. Combine integer and fraction to obtain binary 10110.101.
2. Normalize binary 10110.101 to obtain Thus, m = and e = 4 = .
3. The number is positive, so s=0.