Question

3.) will use b = 5 c = 25. Recall, a number expressed in base b is a sequence of digits e.g. d3 d2 d1 d0 where each of the digits is between 0 and b-1. The value of d3 d2 d1 d0 would be d3 × b3 + d2 × b2 +d1 × b1 +d0 × b0 . In the case where b is bigger than 10, some of the digits will be letters. For example, if b is 16 then 10 is represented by 'A', 11 by 'B' and so on through 15 which is represented by 'F'. We can do the same thing for bigger values of b, for example in base 32 the digit for 31 is 'V', in base 25 the digit for 24 is 'O' (that's an "Oh" not a zero) and in base 27 the digit for 26 is Q. In all the questions below you should mentally "copy replace" any occurrence of b or c by your actual values! a) Explain briefly how we can easily convert a number from base b to base c. b) Explain briefly how we can easily convert a number from base c to base b. c) Convert the base 10 number 987 to base b. Use the method of filling in digits from the left, as we did in lecture. Show work. d) Convert the base b number from the previous question to base c, using the "easy method" from Part a. Show work. e) Convert the base c number from the previous question back to base b, using the easy method from Part b. Show work. f) In what format did I deliver the lecture on RSA?

Answer 1

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6 from base c base b Egi- (oblas → () first convert ( 225 ورز) - (05 Cobles →io ( 24%a58419 x25°) nő (674), (617) 10 ( .05 51617 1232 (4432) 24-3 4 - 4 (987) 10 ? ( Is 5 987 197-2 39 7 (19442)5 AN 4 - 1 ( 125 Convert Cla4aa)s (12420)s » (lo 1X544 Qx 534485472x514 ax50 – 1987).0 (Ec) as 147 12-6 251987 189-12 T- 143