Question

FUN!





I already know how to solve, just for fun hahhaa :)

Have a try:



How many questions you need to ask to guess a whole number, which is located between 1 and 1000?
You can only ask question on which I can answer `yes` or `no`.

Answer 1

yes this is me,

Answer 2

meo is me

Answer 3

@ganeshie8 fun haha :)

Answer 4

@ChantySquirrel1129**

Answer 5

well i have to go.
i'll post my solving tomorrow

Answer 6

first question :
is it less than 500 ?

Answer 7

First=is it a single digit
2=is it double digit

Answer 8

after 1st Q, 1000 is reduced to 500
2nd Q, 500 to 250
3rd Q, 250 to 125
4th Q, 125 to 63
5th Q, 63 to 32
6th Q, 32 to 16
7th Q, 16 to 8
8th Q, 8 to 4
9th Q, 4 to 2
10th Q, 2 to 1.

well i could have just get it by 2^10 = 1024 > 1000 but writing it out makes it easier to follow :)

Answer 9

._.

Answer 10

It is easy to use 2 digit system. Any natural number in 2 digit form can be expressed as

\[b_m*2^m+b_{m-1}*2*^{m-1}+...+b_1*2^1+b_0*2^0\]
where b_0, b_1 .... b_m can be 0 or 1.


Any number from 1 to 1023 is easy to express in 2 digit system as a 10 digit number.
For guessing first number you can ask if the nuber if less than 512.
This way using 10 questions we can find all digits in 2 digit form, and then convert to main form.
HAHAHAHAHA.

Answer 11

this is how i solved,