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

a) How would (0.1)₁₀? = ( ...)₂? be stored on this machine? Your answer should be in the form 1. ?????? x 2^??.

b) Rewrite the stored approximation as a base 10 decimal value.

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

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

ii) as a base 10 decimal value

0.0001100