# Assignment Data Representation

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## Assignment Data Representation

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Running head: DATA REPRESENTATIONData RepresentationName of Student-Name of University-Author’s Note-
DATA REPRESENTATION1Answer toQuestion 1. (a). I.The computer that has word size of 8 bits has one’s compliment range of -127 to 127.II.The computer that has word size of 8 bits has two’s compliment range of -128 to 127.III.The computer that has word size of 8 bits has signed magnitude of range of -127 to 127.IV.The computer that has word size of 8 bits has unsigned magnitude of range of 0 to 255.(b). I.(5AB)16 = (2356)8II.(101101.101)2 = (45.625)10III.(12348)10 = (1100000111100)2IV.(679810)10 = (133223220)5V.(976.6310)10 = (1111010000.10100)2VI.(1001001011)2 = (24B)16VII.(10011110) = -(98)10Answer to Question 2: (a)X’(X+Y)+(XX+Y)(Y’+X)=Y+XL.H.S. – X’(X+Y) + XXY’+ XXX+ YY’+ XY [Because of Distributive law]= X’X + X’Y + XXY’+ XXX + YY’+ XY [Because of Distributive law]= 0 + X’Y + XY’ + X + 0 + XY [Since, X’X = 0 AND XX = X]= X’Y + XY’ + X + XY= X’Y + XY’ + X (1 + Y)= X’Y + XY’ + X [Since, 1 + Y = 1]

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