Normalize the number 277. using the the real IEEE float vlaues 
    1 bit sign, 7 bit exponent, 16 bit significand
 
First convert to binary. 
  277
  138 1
   69 0
   34 1
   17 0
    8 1
    4 0
    2 0
    1 0
    0 1

   100010101b

Represent in the equivalent of scientific notation,.

   1.00010101 b * 2^8

   
Generating a bias.

  Use formula 2^(n-1) - 1 where n is the size of the exponent.
    2^(7-1)-1 = 63 bias

Biasing this exponent give :

  63 + 8 = 71 = 100 0111


Sign bit 0 (positive)
Biased Exponent 100 0111
Signficand 0001 0101 0000 0000 
  Remember, when normalizing, we don't record the most signicant bit. 

Floating point 0 1000111 0001010100000000