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 i) in base 2 floating point form ( 2 x 2 ) ii) as a base 10 decimal value 0 0001100

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Question: Consider a hypothetical limited accuracy rounding computer that stores floats with 6-bit mantissas. (0.1) 10 ? = ( ...) 2 ? = ( ...) 2

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

(0.1)₁₀? = ( Consider a hypothetical limited accuracy rounding computer that stores floats with 6-bit mantissas. (0.1)10? = ( ...)2? = ( ...)2 * ? ?would be ...)₂? = ( ...)₂ * base 10 decimal form. Find the smallest real number that may be ? ?would be stored as 1.100110 * legally stored as this same value. Write the answer in 2 ways: ?, 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:

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

ii) as a base 10 decimal value

0.0001100

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