help this is due tomorrow and i don't get it!!?

Question

412 base 5 - (minus) 33 base 5

i need to show details please help thank you so much

Answer 1

You can do it just like ordinary subtraction, but when you borrow 1 in the first column, to get 12-3, the answer is 4 (12 is 7 in base 10). Then you have 0-3 for the next column. Borrow 1 from the 4 to get 10-3, and the answer to that is 2. Then you have 3 in the final column.

412
_33
-----
324

If you convert everything to decimal you get:
(4 x 25 + 1 x 5 + 2) - (3 x 5 + 3) = 89

324 in base 5 is 3x25 + 2x5 + 4 = 89. Check.

Answer 2

412 [5]
- 33 [5]
----------

can't subtract 3 from 2 in the 1's place, so borrow 1 from the 5's place, making the 2 into 7:

407 [5]
- 33 [5]
----------
.... 4 [5]

can't take 3 in the 5's place from 0, so borrow 1 from the 25's place:

357 [5]
- 33 [5]
----------
...24 [5]

and then bring down the 3:

357 [5]
- 33 [5]
----------
324 [5]

now let's convert it all to base 10 to check:

412 [5] = 107
- 33 [5] = -18
--------- = -----
324 [5] =.. 89

yes.

Answer 3

324 base 5