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So here's the point, when we use base 8 (for example), we change our mindset, if the figure is only composed of numbers 0 to number 7, no figures 8 and 9, as we find in the base 10. So it is not possible for us to create the number 8, 9, 18, ??19, etc.. And the order in which we have now in base 8 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, etc.. Haha. . This might look a little silly, because we are accustomed to using base 10.
( + )
Now we try to sum in base 8 ( octa ).
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 10 [4 + 1 = 5 | | | 5 + 1 = 6 | | | 6 + 1 = 7 | | | 7 + 1 = 10] / / in base 8 no figures 8 and 9
5 + 5 = 12
12 - 5 = 5
10 - 4 = 4
4 - 2 = 2
What about the base 2, hha. . there were only the numbers 0 and 1, so we have a sequence of 0, 1, 10, 11, 100, 101, 111, 1000, etc.. And summing ways no different from other bases, just change the mindset that figure was only 0 and 1.
1 + 1 = 10
10 + 1 = 11
11 + 1 = 100
1 - 1 = 0
11 - 1 = 10
100 - 1 = 11
( - )
Reduction would look a bit complicated, but it is actually very easy.
In base 10, 100-9 we will take a number at the front to fill in behind him.
100
7
----- -
9 (10)
7
--------- -
93
So basically we change the number 1 to number 10 in front of behind.
Well to bases other than 10, we simply change the value of the change number 1, for example, in base 8, change the 1 at the front to the back is 8 (not 10), like this :
100
7
----- -
7 (8)
7
--------- -
71
Haha. . Hope you can understand it.
And remember, do not hesitate to discuss with. ^ _ ^
this post related with previous post. Binary, Octal, Decimal, Hex. Who are they ??