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Published byTariq Stamps Modified about 1 year ago

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Number System C.I.T. Ch2.5

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Denary, Binary, Hexadecimal Number System Denary Number System Ten is it’s base. Ten distinct values :0,1,2,3,4,5,6,7,8,9 Binary Number System Two is it’s base. Two distinct values :0,1 Hexadecimal Number System Sixteen is it’s base. Sixteen distinct values : 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

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Number System Conversion Binary to Denary →1 x x x x 2 0 =11 10 Hexadecimal to Denary 2CA9 16 → 2 x x x x 16 0 =

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Number System Conversion Denary to Binary |38….. 2|19…0 2|9…..1 2|4…..1 2|2… …0 ∴ = Denary to Hexadecimal |38….... 2…6 ∴ = 26 16

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Number System Conversion Binary to Hexadecimal = = A 16 ∴ =9A = = B 16 ∴ =2B 16

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Number System Conversion Hexadecimal to Binary 30D = = D 16 = ∴ 30D 16 = =

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Addition of Different Number Systems Binary ∴ = Hexadecimal DE 16 +AB 16 D E + A 1 B ∴ DE 16 +AB 16 = E 16 + B 16 =19 16 D 16 + A =18 16

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Subtraction of Different Number Systems 10 2 – 1 2 = – 0 2 = – 1 2 = 1 2 Binary ∴ =

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Subtraction of Different Number Systems – 9 16 = E 16 A 16 – 6 16 – 1 16 = 3 16 Hexadecimal A A E ∴ A = 3E 16

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