00:01
Hello, so here we are converting on the number 4 ,740 in our base 10 in decimal to base 5.
00:10
So here we're going to be using, well, the digits or the symbols, 0, 1, 2, 3, and 4 are only allowed in base 5.
00:18
So here the conversion is going to give us, well, 1, 2, 2, 4 through 0.
00:23
So a number in base 10, like 4 ,740.
00:26
Well, this is basically each digit represents powers of 10.
00:29
Is we have 10 to 0, which is our 1s, and then 10 to the 1st, 10 squared, and 10 cubed.
00:34
So 10 cubed is 1 ,000.
00:35
So again, 4 ,000s plus 7 times 10 squared or 700s, plus 410s plus 0 is indeed 4 ,740.
00:43
But in base 5, each symbol or each digit represents powers of 5.
00:48
So we have 5 to 0, 5 to the 1st, 5 to the 1st, 5 to the 3rd, 5 to the 4th, and 5 to the 5th.
00:53
And indeed, if we take, we have one, five to the fifth.
00:59
So five to the fifth power is 3 ,0125.
01:05
That's five to the fifth...