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AP Computer Science 2.2 Review of the Basics 184 Views
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Description:
AP Computer Science 2.2 Review of the Basics. What is 23 (base 10) in base 2?
Transcript
- 00:00
Sorry Man here's your shmoop du jour Brought to you
- 00:05
by binary you'll find it a bit useful uncle All
- 00:12
right what is twenty three Base Ten in based who
- 00:16
And hear your potential answers So looks like we're being
- 00:24
asked to convert the base ten number twenty three into
Full Transcript
- 00:27
base to also known as binary while all major modern
- 00:31
civilizations used base ten numeral system and for good reason
- 00:35
Over tens of thousands of years we've come to realise
- 00:37
that ten fingers are really easy to countless when dealing
- 00:41
with a number higher than ten you just roll over
- 00:43
into a new set of ten it's about a simple
- 00:45
is it gets for us computers though think in terms
- 00:49
of off and on zero and one well that's all
- 00:52
well and good for counting up to zero in one
- 00:54
but we're two larger numbers come from and how are
- 00:57
they stored in a computer's memory Will the answer their
- 01:00
lives in using lots of zeros and ones zero or
- 01:04
one in memory is of idiot and with just eight
- 01:07
bits that are known as one bite you can count
- 01:11
all the way from zero to two hundred fifty five
- 01:14
each bit represents a different amount so starting from the
- 01:18
right side the first bit represents one If that first
- 01:22
bid is on or one we have a total value
- 01:25
in our bite of one The next bit over represents
- 01:29
two but here's where it begins to get oh so
- 01:31
clever bit after that represents four and the one after
- 01:35
that ate and after that sixteen and so on using
- 01:38
the power says too by flipping each differently valued bid
- 01:42
on or off we can count all the way up
- 01:44
to two hundred fifty five just add up which bits
- 01:47
are on and there's your number so this for example
- 01:50
is one hundred sixty seven right here and here's a
- 01:55
forty eight and here is two hundred anyway let's count
- 02:02
twenty three way already know that the fifth bit represent
- 02:05
sixteen so we'll turn that one on remember binary goes
- 02:09
from right to left How about the fourth bit representing
- 02:13
eight right here Eight plus sixteen would leave twenty for
- 02:16
which is over our target of twenty three so we'll
- 02:19
leave the fourth bidden as zero The third bit four
- 02:24
plus sixteen is twenty so yea progress second bit is
- 02:28
to turn our twenty two and the first bit is
- 02:32
one so turned that toe one and now when we
- 02:35
add it all up where twenty three or zero zero
- 02:38
zero one zero one one one in base too trailing
- 02:42
zeros can be left off and we're left with one
- 02:45
zero one one one that's Answer eh Well that was 00:02:51.25 --> [endTime] easy actually Quite difficult No
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