2. [9 marks] Number representation Some of you may be familiar with the fact that in...
2. [9 marks] Number representation Some of you may be familiar with the fact that in basc 10, the sum of the digits of a multiple of nine is also a multiple of 9. The following questions have to do with number represntation in bas 11, so we would count from 0 to 12 as follows S SC 0,1, 2, 3, 4, 5, 6, 7,8,9, Л, 10, 11 In general (2A) mind that this means 2A is not could say (32)10. We will assume that if you do not indicate the base that you mean base 10. Keep in well formed number, since it docsn't make sensc in base 10 and we indicate a mumber is in base k> 1 by writing (did2...dn)k. For example we can we a S haven't indicated a base (a) Write the mimber (63)1 in base 10 (b) Write the mimbers 30, 60, 90, and 484 in base 11. Indicate which is which (c) Prove or disprove that the sum of the digits of a multiple of ten expressed n base eleven is also multiple of 10 Hint: Do some examples to convince yourslf one way or the other SOI (d) State a proof is required. true, generalized version of the above statement. Bricfly justify why it is truc; no formal