# For Fun

1+1=10

on Apr 16, 2013

Surprising! isn't it?
In the decimal counting system, we count 1, 2, 3, 4, 5, 6, 7, 8, etc...
In binary, you simply count using numbers that have only 1s and 0s.
That gives 1, 10, 11, 100, 101, 110, 111, 1000, etc... This system is widely used in Informatics/Programming.Binary is a counting system using 2 as a base .This means that place values are define by 2^n, as opposed to 10^n in decimal.This also means that in decimal (classic) numbers, 1+1=2 because:10^0 * (1)...

1 weighing balance and 8 balls

on Apr 18, 2013

Problem:
You have 1 weighing balance and 8 balls which all look the same. But you have been told 1 ball is heavier.
How to find which one is heavier in just 2 steps?
1st step:
Choose 6 balls at random, and put 3 on each side of the balance.
- 1st possible outcome of 1st step: The balls balance. Go to Step 2a.
- 2nd possible outcome of 1st step: The balls do not balance. Go to Step 2b.
2nd Step - a:
Remove the 6 balls from the balance.
Take the remaining 2 balls, and put one ...

Logical Sequence

on May 10, 2013

This is called the Conway Sequence
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To find the answer, we must say the previous numbers.
For example, for one, we will have one 1. This becomes 11.
For 1211, there is a 1, a 2 and two 1. This gives 111221.
That gives the result as follows:
1 - 11 - 21 - 1211 - 111221 - 312211 - 13112221 - ...
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