Binary Number Scrabble - The Game

Step 3 Scoring

• Unlike Scrabble, when adding to an existing equation only the newly added tiles score points.
• double-letter, triple-letter, double-word, triple-word squares work as usual
• All equations earn a bonus depending on the actual numeric value of the equation.  This rewards equations of high value like '1000x11=11000' compared to ones of low value like '1+1+1+1=10'.
  • The bonus is equal to the log-base-2 of the equation value, rounded down.  In binary this is very easy, its just the largest bit.
  • The bonus is added to the equation score before applying any double and triple word scores.

• example:  '1+1=10'.  log-base-2 is '10'.  bonus points = 2.
• example:  '11x11=1001'.  log-base-2 is '1000'.  bonus points = 8.
• When a player goes out, add to their score the sum of the unplayed number tiles.