Base Conversion (7)
Example
(18.6)9 = ( ? )11
(a) Convert to base 10 using series substitution method:
N10 = 1 ´ 91 + 8 ´ 90 + 6 ´ 9-1
= 9 + 8 + 0.666…
= (17.666…)10
(b) Convert from base 10 to base 11 using radix divide and multiply
method:
7.326 ¬ 0.666 ´ 11
3.586 ¬ 0.326 ´ 11
6.446 ¬ 0.586 ´ 11
N11 = (16.736 …)11