SassyRS

Back to Base
Find the Missing Number in this sequence?

10 11 12 13 14 15 16 17 20 22 24 31 100 ? 10,000


Goodluck

and when u have solved it, explain how u did it

Adrian

Answer is 121.

Its the number 16 written in different bases

10000 = 16 in binary
121 = 16 in base 2
100 = 16 in base 3 and so on.

Redeye Jedi

Moose 130

wooooooshhhh...........

SassyRS

Thankyou Adrian

Adrian

Knew my A Level in Math would come in handy at some point

andyt

iTrader: (1)

still not got a clue what this is all about

Nick D

BINARY BASE:

The Binary base system is the same as above, in Base ten, in that the first digit to the left of the Base point is UNITS.

In this case, it is either ZERO or ONE.

The next would be X(BASE) or the number in that position times two.

The next position to the left would be X(BASE SQUARED) or in this case, two squared, or four.

The next position to the left is X(BASE) to the third power, or in this is EIGHT. Note: It is important that you do not ADD 3 and get Six.

Continuing to the left, just increase each position to the NEXT POWER.

Starting at the BASE point and going right, works the same as BASE TEN, in that the first position would be ONE over TWO.
Remember, you can only have a ONE or a ZERO. So, it would be equal ZERO or equal 1/2.

The next position to the right would be 1/4. The next would be 1/8 and so on.

The number 1011.01 would be equal to the following:

Going from the BASE point to the left is Units or 1. The next would be X(BASE), or 1 times two equals two. The next position, in this case, ZERO, is only used as a placeholder. The next position is X(BASE) squared, or 0. And, the next position is X(BASE) to the third power or 2x2x2. Remember, its eight not six.

So, the binary 1011 is equal to (add each position), eight, place holder, plus 2, plus 1, or all together...ELEVEN. Each position to the right is figured the same as BASE TEN. Position number 1
is 1/2, the next is 1/4, and so on.

The above number.01 is equal to.0(placeholder), the next .01 equal to 1/4 or one fourth.
Therefore, the above binary number 1011.01 = 11.25 in base ten.

Note: I should have mentioned earlier that the only way to understand what the BASE number we are working with equals, is to convert it to BASE 10. Because, that is what we learned in school and have used most of our lives.

Each BASE system follows the same rules that we started with
in BASE 10.

But The largest number that you may have in any Base System is always ONE LESS THAN THE BASE

SassyRS