00:01
So here we've got a question about floating point notation.
00:05
I wrote the chart for xs4 notation in the top left.
00:09
So if you see these three bits, if you see there 111, that means we're moving the radix point three spaces to the right.
00:18
If you see 0 -0 -0, that means we're moving the radix point four spaces to the left.
00:24
Okay, but for this first one, let's go ahead and get started with our very first bit.
00:29
0.
00:31
Zero in floating point notation indicates a positive.
00:36
And now for the next three, this is going to be where we move the radix point.
00:41
I'm actually going to skip this for now and go straight on to 1001, our actual value that we're getting out of this.
00:49
1 .001 can go right here, just copied down.
00:53
I'm going to put our radix point right here for now.
00:58
And what does 101 mean? well, if i'm looking at excess notation, 1 -0 -0 is just 0, so 101 is a step above that.
01:07
It's just one space.
01:10
Look what i'm doing to that radix point.
01:12
I'm moving it up one space, positive one space.
01:16
That's going to become positive 1 .001, also known as 1 and 1 8th.
01:32
Let's do one more.
01:34
So this next one, again we're going to split these into chunks.
01:38
First we're going to see that one and say, oh, that's negative.
01:42
Then we're going to skip the middle, go straight to our last four bits.
01:46
One zero, zero, zero...