Can someone help me understand changing between bases?
For example, if we have
(34)_5 + (23)_5, I think of it this way:
We have 5 5's and then 7 1's so we have 6 5's and 2 1's which means we have:
1 (5^2) .. 1 (5^1) .. 2 (5^0)
So our answer then would be (112)_5?
Alternatively, can we just say (34)_5 + (23)_5 = (57)_5? I'm assuming not, since we're using base 10 rules in adding.
Instead, I think it would be (34)_5 + (23)_5 = (62)_5
Some advice?
Hello,
Yes !
You can't say so because since you're in base 5, the numbers' digits can only be represented by 0,1,2,3 or 4.Alternatively, can we just say (34)_5 + (23)_5 = (57)_5? I'm assuming not, since we're using base 10 rules in adding.
So basically, yes, it's not the same rules as base 10.
No ! Because it's the same problem for 6.Instead, I think it would be (34)_5 + (23)_5 = (62)_5
.
Now, if you want to check :
Thus
Does this look clear to you ?