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Showing posts from October, 2009

Scrabble

Been playing a lot of scrabble recently. The best possible scrabble word I can think of is 'Quizzing' Of course there is only 1 'z' in scrabble so you'd need a blank tile. 'Quiz_ing' And you only get 7 letters so you'd need to put it at the end of a word such as 'sin'       s       i quiz_ing And to get the most out of it you'd have to land it on a triple word score for instance the one in the bottom left corner, which would also land your 'z' on a double letter score and your 'g' on the bottom middle triple word score. Therefore your total score would be: Q = 10, U = 1, I = 1, z = 10, N = 1, G = 2. (((10 + 1 + 1 + (10*2) + 0 + 1 + 1 + 2) * 3) * 3) = 324 plus 50 for using all 7 letters = 374

Binary Combination Lock

if you have one of those combination padlocks with three tumblers, each with the digits 0-9 on them that means that there are a possible 1o*10*10 combinations of numbers that can be displayed. 10*10*10 = 1000 (obviously) In order to have at least 1000 different combinations using tumblers that only have the digits 0-1 on them (the binary digits) you would have to have sufficient tumblers to display the number 999 (this is the same for the 3 tumblers using base 10, i.e. You can display 1000 numbers, all those up to 999 plus zero) You display 999 in binary like this: 1111100111 So you would need 10 tumblers. BUT the advantage is, with 10 tumblers using binary you can display a possible 1018 combinations. (1111111111 which is 1017, plus 0000000000 which is zero) Ergo 10 tumblers displaying 0-1 is much more secure and therefore sensible. QED