1/3 sign 1, exponent 3, significand 6

A.  No integer portion of number.

B. Convert decimal fraction portion.

Remember, we can only store 6 significant digits and the most significant
digit is hidden, so count at most 7 past 1st significant (1 for rounding
purposes).

              -
    . .333333333
    0 .666666666  
    1 .333333332 Most significant digit 
    0 .666666664 1 (start counting digits)
    1 .333333328 2
    0 .666666656 3
    1 .333333312 4
    0  666666624 5
    1 .333333348 6 
    0 .666666696 7     0.0101010 b
        
C. Adjust the binary value to scientific style notation.
  
   1.0101010 x 2^-2

D. Calculate the bias for the exponent

  2^(3-1)-1 = 2^2-1 = 4-1 = 3

E. Add bias to exponent and covert to binary

   3 + -2 = 1

   001 biased exponent in binary

F.  
Sign positive, sign bit 0

Biased exponent       001  

Find significand

  Most significant bit 1. not stored

  And float can hold only 10 significant digits, so we store only the most 
  significant portion.

  1.0101010
  ^ ^^^^^^
  h  6 digits
  i
  d
  d
  e
  n

  0 0001 010101