Binary code of the value 1111?

Answer 1

10001010111

you get this by:

each digit in a binary number is a power of 2 kind of like in the number '100' you have your 1's column, your 10's and your 100's

2^10 2^9 2^8 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0

1024 512 256 128 64 32 16 8 4 2 1

the highest power of 2 that can go into 1111 is 2^10 which is 1024 so you go from the highest column and write a 1

1

now 1111-1024 gives you 87 left over

the next highest that can go into 87 is 64 or 2^6

so you write a '0' under any number that doesn't match and a 1 under the 64 and you get

1024 512 256 128 64 32 16 8 4 2 1

1--------0----0----0---1

87-64 gives you 23

so do the same thing and you get:

1024 512 256 128 64 32 16 8 4 2 1

1--------0----0----0---1--0 --1

23-16 = 7 so

1024 512 256 128 64 32 16 8 4 2 1

1--------0 ---0---- 0 -1 - 0 --1 0 1

7-4=3

1024 512 256 128 64 32 16 8 4 2 1

1---------0---0-----0--1--0---1-0 1 1

3-2=1

1024 512 256 128 64 32 16 8 4 2 1

1 -------0 ----0 ---0 --1- 0 --1- 0 1 1 1

end result: 10001010111