Question

Hi! Can Any1 help me with:
Explain how to do/solve binary numbers.
Eg. 1001, 1111, 18, 37 into 1base to base 2 and back.

Answer 1

first number is in base 2 yes?

Answer 2

Yes

Answer 3

you have a 1 in the ones place. 0 in two's place. 0 in fours place and a 1 in the eights place. i am reading from right to left. so the total is 1+8=9 in base ten

Answer 4

But, how would you get to such a judgement?

Answer 5

second one you have
1 in the ones
1 in the twos
1 in the fours
1 in the eigths giving
1+2+4+8=15 in base ten

Answer 6

how do i interpret the number 2375? this is 5 ones, 7 tens, 3 hundreds and 2 thousands in base ten yes

Answer 7

Satellite73- I could use a lot of help with my practice sheet tomorrow, think u'll be able 2 help?

Answer 8

in other words it is
\[5\times 10^2+7\times 10^1+3\times 10^2+2\times 10^3\]

Answer 9

now you are in base two so you have only zeros and ones and the places are
\[2^0\]
\[2^1\]
\[2^2\]
\[2^3\] and so on reading from right to left

Answer 10

so the base two number 10010 means
no ones
1 two
no 4s
no 8s
1 sixteen in other words 2 + 16 = 20 base ten

Answer 11

now lets convert to base 2 from base 10

Answer 12

Okay, so if I have the number 101, then i would say that the first 1 is in the third base, zero is in second place and the last 1 is in first base. So, then the number would be 802. Right?

Answer 13

In base 2, right?

Answer 14

18 we start with. the biggest power of 2 that goes in to 18 is 16 so we have a one in the 16 place. 18-16= 2 so there are no eights and no fours and one 2. and 2-2=0 so no ones. we get
10 0 1 0 meaning reading from left to right:
1 16
0 8
0 4
1 2
0 1

Answer 15

is this 101 in base 2?

Answer 16

Yes, I suppose

Answer 17

ok so read from right to left, not left to right.

Answer 18

Just an example to help clarify

Answer 19

Just an example to help clarify

Answer 20

you have 1 in the ones place yes?

Answer 21

0 in the twos place

Answer 22

and 1 in the fours place

Answer 23

fours place?

Answer 24

one 4, no 2s, and 1 one. gives 4+1=5 in base ten

Answer 25

yes 4s place. powers of two go
1,2,4,8,16,32,64,...

Answer 26

just like powers of ten go
1,10,100,1000,10000, etc

Answer 27

So, you add the numbers?
Oh yes, now I remeber the 2's powers.

Answer 28

so the decimal number 325 means 3*100+2*10+5*1

Answer 29

the base two number 1011 means 1*8+0*4+1*2+1*1

Answer 30

so in base ten that number would be 8+2+1=11

Answer 31

So say you wanted a number in base ten, such as 176, then would you say 1 + 10 +100, ?

Answer 32

Satellite? U there?

Answer 33

in base ten 176 means 1*100+ 7*10 + 1*1

Answer 34

Um...left to right or right to left?

Answer 35

if you want to convert this to base 2 you have to find the highest power of 2 that is in 176

Answer 36

oop should be 176 = 1*100+7*10+6*1 you already know this. this is how you learn numbers to begin with. the only new thing is using a different base

Answer 37

do you want to convert 176 to base 2?

Answer 38

But, was my answer for 176 correct?

Answer 39

you lost me. 176 is not 1 + 10 + 100. 1 + 10 + 100=111

Answer 40

base ten

Answer 41

So my answer was correct? And yes, please do

Answer 42

So my answer was correct? And yes, please do

Answer 43

no

Answer 44

if you want to convert 176 (base 10) to base 2, you have to write the powers of 2 out, and see what is the biggest one that is less than 176

Answer 45

lets try an easier number. lets convert 52 to base 2

Answer 46

Okay, let me taek a different number. 15. The one is in the 10 place and the five is in 1 place, so 10 +1 = 11 for base ten, right?

Answer 47

i have confused you. no we write numbers in base ten as it is so 15 in base ten is just 15

Answer 48

meaning 1*10 + 5*1

Answer 49

you already write numbers in base ten.

Answer 50

Wait- so 176 is already in base 10?

Answer 51

yes of course

Answer 52

all our numbers are in base ten

Answer 53

lets write 52 in base 2.

Answer 54

powers of 2 are
1, 2, 4, 8, 16, 32, 64, ...

Answer 55

Ok- all numbers are already in base ten.....then if you get 1101, then...you convert that to base ten which is actually the normal numbers?
And in terms of 52, then five is in the two place and 2 in the one place so, 2+1=3. is this correct?

Answer 56

64 is too big, there is no 64 in the base ten number 52. so we start with 32 and there will be a 1 in the 32's place. (base 2)
52-32=20
now the next power of 2 below 32 is 16, and there is a 16 in twenty. so there will be a 1 in the 16s place.
20-16=4
there is no 8 in 4 so there will be a zero in the 8s place.
next power is 4 and there is a 4 in 4. so there will be a 1 in the 4s place.
4-4=0, so nothing in the twos or the ones place. we get
52 base ten is
1 1 0 1 1 base 2 meaning

32 + 16 + 0 + 4 + 0 + 0 =52

Answer 57

expressing numbers in base two only uses the digits 0 and1. there is no such base 2 numbers as 52. you cannot have a 5 in the two s place. you can only have a 0 or a 1 in the two s place. all base two numbers consist only of the digits 0 and 1

Answer 58

Ok, I'm starting to see how to do it. Thank you!