Decode the_boy_on_my_right_is_the_right_boy and summarize the steps in a table. What is the precise size, in bits, of the binary integer i ? Here is another approach to quantifying information. We are...

Decode the_boy_on_my_right_is_the_right_boy and summarize the steps in a table.

What is the precise size, in bits, of the binary integer
i
? Here is another approach to quantifying information. We are familiar with the ten decimal digits. We know that the value of a digit in a number depends on its position. Thus, the value of the digit 4 in the number 14708 is 4×103, or 4000, since it is in position 3 (positions are numbered from right to left, starting from 0). We are also familiar with the two binary digits (bits) 0 and 1. The value of a bit in a binary number similarly depends on its position, except that powers of 2 are used. Mathematically, there is nothing special about 2 or 10. We can use the number 3 as the basis of our arithmetic. This would require the three digits, 0, 1, and 2 (we might call them
trits
). A trit
t
at position
i
would have a value of
t

×
3i.