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11. Binary Subtraction

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Computer Organization & Architecture

Binary Subtraction

◼ Subse phele bat krte hai ki subtraction kya hota hai.
    Agar 56 – 17 = 39 hota hai
    Lekin ye Decimal number m subtraction kiya h lekin jub Binary number m addition karna ho to 4 rules hote h.
◼ NOTE:- Binary number m subtraction karte hua sirf 0 or 1 ko hi lenge.
◼ Main ye betane ja rha hu ki 0 – 1 = 1 kaise hota hai jaise image main kiya hai.
◼ Let's take an example
    (10101)2 - (01101)2 = (?)2
◼ Jha se start from here likha hai wha se start karnge.
◼ Sabse phele 1 main se 1 minus karnge toh 0 ayega jaise image main likha hai.
◼ Fir 0 main se 0 minus karnge toh 0 ayega.
◼ Or 1 main se 1 minus karnge toh bhi 0 ayega.
◼ Lekin ab 0 main se 1 ko minus karna h usko karne ke liye borrow (udhaar ) lena hoga.
◼ Ab kya kar rhe ki hum dakh rhe hai ki 0 joh hai who 1 se chota hai toh ab ye kya karega apne aage wale number se borrow (udhaar) lega.
◼ Jaise hi borrow le lega aage wala 1 kat kar 0 ho jayega or 0 jo borrow le raha h wo ab one zero (1 0) ho jayega. Isse hum TEN nahi bolenge kyoki (1 0)2 Binary number h or (1 0)2 = (2)10 hota h Decimal number main.
◼ Ab 2 main se 1 minus karnge to 1 aayega lekin ye Decimal main aaya h kyoki humne pehle (1 0)2 ko Decimal (2)10 main convert kiya to jo answer usko wapas se Binary main convert karenge.
◼ Or 1 ka Binary Conversion 1 hi hota h to hum answer main 1 likhege.
◼ Finally last 0 main se 0 minus karnge to 0 hi ayega.
◼ Finally humara result aagya toh jaise image main likha hai waise likh denge.
    (10101)2 - (01101)2 = (01000)2


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