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17. 9's and 10's complement

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Computer Organization & Architecture

9’s and 10’s Complement

◼ Note : 9’s and 10’s Complement kevel decimal number main use hota hai.

1.   9's complement

◼ Hum jab 9’s complement nikaltey hai toh har ek digit ko 9 se subtract karety hai.
◼ Let's take an example
    (678)10 convert it into 9’s complement
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◼ Hum har ek digit ko 9 main se minus kar rahe hai jaisa image main diya hua hai.
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◼ Jaise hi 9’s complement nikal lete hai toh hum isko aise likh dete hai jaisa image main diya hua hai.
◼ Let's take an another example
    (78.542)10 convert it into 9’s complement
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◼ Hum yaha bhi har ek digit ko 9 main se minus kar rahe hai jaisa image main diya hua hai.
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◼ Jaise hi hum 9’s complement main convert kar lenge toh isko aise likh denge jaisa image main diya hua hai.

2.   10's complement

◼ 10’s complement ko nikalne ke liye sabse phele hum 9’s complement main convert karnge phir jaise hi 9’s complement main convert ho jayega phir hum usme 1 add karke 10’s complement main convert kar denge.
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◼ Let's take an example
    (567)10 convert it into 10’s complement
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◼ 10’s complement main convert karne ke liye sabse phele hum 9’s complement nikalenge jaisa image main diya hua hai.
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◼ 10’s complement nikalne ke liye sabse phele hum 9’s complement nikaltey hai jo ki humne nikal liya hai phir usme 1 add kartey hai jaisa image main diya hua hai.
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◼ Jaise hi 10’s complement main convert ho jayega usko hum aise likh denge jaisa image main likha hua hai.
◼ Let's take one more example
    (75.423)10 convert it into 10’s complement
◼ Jaise hi Decimal number main point aayega to kuch time ke liye point ko hata denge or last main jab 10’s complement main convert ho jayega tab wapis se point laga denge.
◼ Lekin agar sirf 9’s complement main convert karna ho to point hatane ki koi jarurat nahi hai.
◼ Point tabhi hatayenge jab 10’s complement main convert karna ho.
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◼ Ab hum (75423) ko 10’s complement main convert karnge.
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◼ Sabse pehle humne isko 9’s complement main change kiya hai jaisa image main diya hua hai.
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◼ Ab humne (75423)10 ko 10’s complement main convert kar liya lekin ye final result nahi hai kyoki humne abhi tak point nahi lagaya jo original question main hai.
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◼ 10’s complement main convert karne ke baad jo answer aaya usme utni hi digits ke pehle point lagaynge jitni digits ke pehle Question main point hai or humara final answer aajyega jaisa image main likha hua hai.
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