Binary -> Arabic
Computers understand numbers as we do, but see them differently.
Computers work on a base of 2 (they understand numbers by powers of 2 eg. 2^2, 2^5…) through 1s and 0s. The number 58 is seen by a computer as 111010
|
2^5 (32) |
2^4 (16) |
2^3 (8 ) |
2^2 (4) |
2^1 (2) |
2^0 (1) |
|
1 |
1 |
1 |
0 |
1 |
0 |
The 1 acts as ON telling the computer to include the number and the 0 acts as OFF.
The computer adds up the numbers that are indicated as ON to determine the number.
As shown above 2^5+2^4+2^3+2^1 which is the same as 32+16+8+2 which equals 58.
Therefore; 58 is 111010 in Binary.
Arabic -> Binary
This is not as easy, it is a matter of trial and error.
We are given the number 73.
The first step is to subtract the biggest power of 2 equal to or less than 73 in this case being 2^6, 64.
73 – 64 = 9
We know that the first of 7 numbers is now a 1 so we have 1******
The next number we can subtract by is 2^3 which is 8
9 – 8 = 1 therefore we have 1001***
The last number is 1 so we subtract one from one and get 1001001.
1s act as ON and 0s as OFF for each increasing power of 2 from left to right, starting at 2^0.
