Question

Determine the representation of each of the numbers into the indicated base or notation:

27 to base two

Answer 1

27 = 16 + 8 + 2 + 1

Answer 2

one in the 16s place
one in the 8s place
zero in the 4s
one in the 2s place
one in the 1s place

Answer 3

so
\[11011\]

Answer 4

I don't understand how you're getting these numbers

Answer 5

you divide by powers of 2

Answer 6

i started by dividing 27 by the largest power of two that goes in to it

Answer 7

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

Answer 8

largest is 16, and 27 - 16 = 11
then 11 - 8 = 3
now 4 is larger than 3, so move on to 2
3 - 2= 1
so 27 = 16 + 8 + 2 + 1

Answer 9

I'm sorry, but I'm still confused :(

Answer 10

in base ten the number \(7324\) means \(7\times 10^3+3\times 10^2+2\times 10^1+4\times 10^0\)

Answer 11

so you have to figure out what the largest power of 2 that goes in to 27

Answer 12

ok so thats 16

Answer 13

27-16=11
11-8=3
3-2=1
27=16+8+2+1

but how do you get the final answer out of that?

Answer 14

another way to do it

divide 27 by 2 to get

27/2 = 13 remainder 1

take the answer 13 and divide it by 2 to get

13/2 = 6 remainder 1

repeat and do it til you get a quotient of 0

6/2 = 3 remainder 0

repeat again

3/2 = 1 remainder 1

repeat again

1/2 = 0 remainder 1

We stop now since the quotient is 0


So now read the remainders in reverse to get 11011

so 27 base 10 = 11011 base 2