Consider a hypothetical limited accuracy rounding computer that stores floats with 6-bit mantissas.

(0.1)₁₀? = ( ...)₂? = ( ...)₂ * ? ?would be stored as 1.100110 * ?, which is in the form 1. ?????? x 2^??.? It would be rewrittten as (51/512)₁₀ = (0.099609375)₁₀ in the base 10 decimal form.

Find the smallest real number that may be legally stored as this same value. Write the answer in 2 ways:

a) in base 2 floating point form (?.?? ......₂ x 2^?)

b) as a base 10 decimal value

0.0001100