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10. Binary Additon

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Computer Organization & Architecture

Binary Addition


◼ Jaise ki humne padha hai ki addition kya hota hai .
    Agar 56 + 76 =132 hota hai
    Lekin ye Decimal number m addition kiya h lekin jub Binary number m addition karna ho to 5 rules hote h.
◼ NOTE:- Binary number m addition karte hua sirf 0 or 1 ko hi lenge.
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◼ Simple baat hai dosto hum yha kevel binary addition krnge or dekh rhe hai ki jaise hum decimal main addition krtey the waise hi binary main krnge bus yha hum 0 1 (zero one) ki format main likhenge.
◼ Let's take an example
    (1011)2 + (0100)2 = (?)2
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◼ Hum kya kr rhe h is Binary addition main ki jha se start from here likha hai wha se addition krna strat kr denge. lekin start from here exam main mat likhna ye kevel semjhane k liye likha hai.
◼ 1 + 0 = 1 hota hai     (According to rule number 3)
◼ 1 + 0 = 1 hota hai     (According to rule number 3)
◼ 0 + 1 = 1 hota hai     (According to rule number 2)
◼ 1 + 0 = 1 hota hai     (According to rule number 3)
◼ Ye ek simple Binary addition hai.
◼ Let's take an another example
    (11011)2 + (11001)2 = (?)2
◼ Aiye isko hum step wise solve krna sikhtey hai
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◼ Yha hum dekh rhe ki jha se start from here likha hai wha se strat krnge.
◼ Sabse phele 1 + 1 = 2 hota hai lekin 2 toh decimal number hai toh 2 ko hum binary main likhnge. (2)10 = (1 0)2 hota hai jaise image main dikhaya wiase likh denge. (1 0) ye 2 bits h to 0 jo ki pehli bit h use niche likh denge or 1 jo ki dusri bit h use uper carry m likh denge.
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◼ Isme hum kya kr rhe hai ki 1 + 0 = 1 hota hai lekin 1 carry bhi hai toh 1 + 1 = 2 hoga lekin 2 toh decimal number h hume isko binary main likhna hai toh 2 ka binary 1 0 hota hai. 0 niche likhnge or 1 carry jaise image main likha hai.
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◼ Isme hum kya kr rhe ki 0 + 0 = 0 hota hai lekin 1 carry bhi hai toh 0 + 1 = 1 hoga jaise image main liklh hai.
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◼ Isme hum dekh rhe hai ki 1 + 1 = 2 hota hai lekin 2 toh decimal number hai hum yha binary addition kr rhe hai to 2 ka binary 10 hota hai jaise image main likha hai.
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◼ Isme hum dekh rhe ki 1 + 1 = 2 hota bhai lekin 1 carry bhi hai toh 2 + 1 = 3 hota hai lekin 3 to decimal number hai hum yha binary addition kr rhe hai toh 3 ka binary 11 hota hai jaise image main likha hai waise likh denge.
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◼ Lekin ab aage kuch bhi nahi bacha add karne ke liye to carry sabse pehle likhe denge.
◼ Finally humara answer aa gya to jaisae image main likha hai waise hum likh denge.
    (11011)2 + (11001)2 = (110100)2

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