HOW THE COMPUTER COMPUTES

Let us recollect the binary system of numbers.

binary
0 - 0
1 - 1
2 - 10
3 - 11
4 - 100 and so on.
Hence all numbers can be represented in 1 s and 0 s.

Let us now come to four fundamental operations.
4 * 2= 8, that is adding 2, 4 times gives 8. Hence multiplication is the repeated addition.
8/2 = 4, you can subtract 2, four times in 8. Hence division is the repeated subtraction.
Now, we are left with only two operations '+' and '-" .
Even subtraction can be done through addition. Let us see now. To subtract 6 from 8, take the 10's compliment of 6. Subtract 6 from 10 and get 4 which is 10's compliment . Now add 8 and 4 to get 12. Drop the carry 1 in 12 and get 2. That is answer of 8-6 =2.
Taking compliment in binary system is easy. 0 is 1's compliment and 1 is 0's compliment.
Finally, we are left with only one mathematical operation "Addition". Hence computing means just adding 1's and 0's.

How the computer adds? Now we have to understand the simple function of electronic circuit called Exclusive OR gate or EX-OR gate. Ex-OR gate takes in two binary inputs and gives out one binary output. If two inputs are similar (00 and 1,1) , it gives out '0'. If the inputs are dissimilar (0,1) it output '1'.
We know, binary addition is,
0+1 = 1
1+0 =1
0+0 =0
1+1 =1'0'
Hence, what the EX-OR circuit does is the addition of binary digits (partly). Along with Ex-OR gate, the computer uses other circuits and performs the addition of big binary numbers perfectly.
(We also know, high and low voltage represents 1 and 0 in digital electronics)
Today, computer diagnoses a diseases; recognizes a face; recommends a personal loan for a customer; advises what movie to watch and even drives a car.
Can you believe that the Addition of binary digits' is the main fundamental operation behind all the miracles performed by the computer?
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