Below is a list of floating-point numbers. In single precision, write down each number in binary, in decimal, and give its representation in IEEE arithmetic.

1. The largest number less than 1.

     1 - 2-24 = 0.99999994 = 0 01111110 11111111111111111111111
   

2. The largest number.

     (a)*2128 = 3.4028235e+38 = 0 11111110 11111111111111111111111
   

3. The smallest positive normalized number.

     2-126 = 1.1754944e-38 = 0 00000001 00000000000000000000000
   

4. The largest denormal number.

     (1 - 2-23)*2-126 = 1.1754942e-38 = 0 00000000 11111111111111111111111
   

5. The smallest positive number.

     2-149 = 1.4012985e-45 = 0 00000000 00000000000000000000001