00:01
Hello students, let's solve this problem.
00:02
The problem says convert the following number by the binary number system to decimal number system.
00:11
So first one is given here that is of one zero one one zero one zero one one zero one one zero one one zero one zero one one zero one one zero one one zero one 0 -0 -1 -0 -0 -0 -1 -0 -1 -0 -1 -0 -1 -0 -1.
00:46
So this is the binary system we convert into the decimal.
00:52
So we have to concentrate only with 1, not with 0.
00:58
So this one can be written as 1 multiplied with 2 to the power 5.
01:15
So this 1 next one that can be written as 1 into 2 to the power of this 1 can be written as 1 into 2 to the power of this 1.
01:32
This one can be written as of 2 to the power of 6.
01:38
So that is of 64.
01:41
So next one is of similar way we can write down that is of 32.
01:49
Next, this one is written as 1 multiplied with 2 square.
01:57
So it is 4.
01:59
Next one, that is of 1, 2 to the power 1, that is equal to 2.
02:06
And of next one can be written as 1 multiplied with 2 to the power 0, that is equal to 1.
02:16
So if you start after point, this one can be written as 1 into 2 to the power minus 1.
02:28
So 0 point of 5.
02:32
So next, this one can be written as 1 into 2 to the power minus 4.
02:41
0 .0625.
02:46
Next one, 1 into 2 to the power of minus 5, that is equal to 0 .03125.
02:59
Next, this position is written as 1 into 2 to the power of minus 8.
03:08
So that 0 .0303 .9.
03:20
0625.
03:23
Similarly, this one 1 into 2 to the power minus 9.
03:30
So that's why 0 .001953 -125.
03:41
Next, for this one, 1 into 2 to the power of minus 12.
03:50
So this can be written as 0 .5.
03:54
0 .00244146.
04:00
Next, this one, 1 into 2 to the power minus 13.
04:05
So that it is written as 0 .000122703.
04:17
Next, this one, this one is written as 1 into 2 to the power of minus.
04:28
So that it is of 0 .0015.
04:40
Next, this one is written as 1 into 2 to the power of minus 17.
04:49
So that 0 .000000 -076294 and this one is written as 1 into 2 to the power of minus 17.
05:03
2 to the power minus 18.
05:06
Sorry, this one is minus 19.
05:09
So this can be written as 0 .0000 -190.
05:22
So this...