ShmoopTube

00:00

Thank you We sneak And here's your smoke Do as

00:05

you are And what a dracula say After trying tow

00:09

fight into a dried up mummy bangs for nothing Okay

00:15

If the new data type was created that stored Numbers

00:17

in 5 bits with 1 bit reserved for sign What

00:21

is the largest number that the new type can contain

00:26

And here your potential answers All right Good question Okay

00:31

here we go Well looks like our expertise What binary

00:34

will be necessary to solve this one Binary is after

00:37

all the blood and guts of how computers think But

00:39

it's also the things and the kate Wait That's not

00:42

finery That's directed different Okay let's Try this again Are

00:46

human brains can think in shades of gray and well

00:49

way more than just fifty of them Things can very

00:52

easily get partially correct or even ambiguous for us Should

00:56

you wear those shoes in public Maybe All right but

00:59

for computers things were more black and white Data is

01:01

stored in its simplest form as a one or a

01:03

zero combined several zeros and ones to represent more complex

01:07

data And you have one of the pillars of modern

01:10

computer science In a nutshell the most basic unit of

01:13

information is the bitch a single zero or one with

01:16

it We can represent values of well not much Zero

01:20

or want true or false date of these bad boys

01:23

love together though gives us of fight and we can

01:26

do way more with a bite So in fact since

01:29

each bit within a bite has a different value just

01:32

eight tiny bits can represent any number from zero to

01:35

one hundred fifty five All right but that's what eight

01:38

bits are capable of what about the hypothetical data type

01:42

in the question Five bits with one set aside for

01:46

signs Well that'll give us forbids to store a number

01:49

and if all four of those get lit up with

01:51

one of the greatest number we could possibly represent would

01:54

be yeah fifteen Well that sign would be used to

01:58

indicate whether or not the number is negative so are

02:01

complete range would be negative fifteen to positive fifteen on

02:05

our potential answers were given with exponents One of them

02:08

happens to equal fifteen so it's two to the force

02:12

which is sixteen minus one So ease our answer and

02:15

wow we didn't mind that problem one day let alone 00:02:18.273 --> [endTime] five

Full Transcript