Question

Is 11101.111 (base2) EF in base 16?

Answer 1

hmmmmm
11101 = 2^0 + 0 + 4 + 8 + 16 = 29 in base 10 = 1D in base 16
- if my memory serves me right

Answer 2

i think he means 11101111

Answer 3

oh right

Answer 4

The problem is written as follows : 11101.111 and I am asked to write the following base 2 numbers in base 16.

Answer 5

to quickly change from base 2 to base 16, group 4 digits together
1 1101 . 1110
1 13 . 14 or using letters
1D.E

Answer 6

well, then its not EF for sure.

to convert from base2 to base16 you can group binary digits by 4

Answer 7

I was confused to the decimal point. I didn't know why it was there.

Answer 8

1110 = E
1111 = F

Answer 9

So 100.1100101 would be 365?

Answer 10

it is a fractional number base 2
See http://www.wolframalpha.com/input/?i=11101.1110+base+2+to+base+16

Answer 11

it wud be 4.CA i think, you need to group by 4

Answer 12

I did group by 4.

Answer 13

110.1100101 is the correct base 2 number. I apologize I may have typed it in incorrectly.

Answer 14

100.1100101 would be 365?

0100 . 1100 1010
4 . C A

Answer 15

then 6.ca

Answer 16

HOW!

Answer 17

110.1100101

is same as

00000000000110.110010100000000000

Answer 18

it helps if you know your powers of 2 (memorized to 2^10 !)
8 4 2 1
0 1 1 0

Answer 19

the first digit of the fraction, from
1 1 0 0 is 8+4=12 or C
8 4 2 1

Answer 20

So 6CA?

Answer 21

you mean 6.ca with the "decimal" point

Answer 22

>_< I guess? I'm sorry guys I am terrible at math.

Answer 23

i must remember the groups of four thing

Answer 24

Why add leading zeros prior to the right most 1 in the problem?

Answer 25

not required, but it reminds you of what the 4th digit is.

Answer 26

It's the difference of if it's an A or not.

Answer 27

you dont have to if you dont wanto use the short cut.

for using the short cut, you need four digits, so you need to add it

Answer 28

it is more important for the fractional end:
0.1 must be written as 0.1000 so you write 0.8 rather than 0.1 (base 16)

Answer 29

How can I get better at this stuff?

Answer 30

understand positional number system. once you grasp it you can do arithmetic in any numbersystem octal/binary/hexa... anything