00:01
In this problem, we have been asked to convert the given base 2 numbers to base 10.
00:06
So first of all, we have 1, 0, 1, 1, 0, 0, 1.
00:10
So we're going to convert this to base 10.
00:13
So how do we do that? we're going to start from the right.
00:16
So we have 1.
00:17
We multiply this with 2 to the power of 0.
00:20
Next we have 0.
00:22
So we have 0 times 2 to the power of 1.
00:25
Next we have 0.
00:26
So we add with this 0 times 2 to the power of 2.
00:30
Next we have 1, so we have 1 times 2 to the power of 3.
00:35
Similarly, next we have 1 times 2 to the power of 4, 0 times 2 to the power of 5, 1 times 2 to the power of 6.
00:43
So we end up with 1 times 2 to the power of 0, so that's 1 times 1, which is 1.
00:48
Then we have 0, 0, 8, 16, 0, and then 1 times 2 to the power of 6, that's 2 to the power of 6, which is 64.
00:58
So we have 1 plus 0 plus 0 plus 8 plus 16 plus 0 plus 64, and this is equal to 89.
01:06
So our first number is 89...