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TongLecture2 - CS281 Lecture 2 Tuanjie Tong Review Convert...

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CS281 Lecture 2 Tuanjie Tong
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Review: Convert decimal fractions to binary • (10.625) 10 ->(?) 2 We convert the integer part and fraction part separately. But how shall we convert the fraction part to binary (fraction)?
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Convert fraction to binary Look at the general representation again: • D=(d m-1 d m-2 …d 1 d 0 d -1 d -2 …d -n ) r =d m-1 r m-1 +d m-2 r m-2 …+d 1 r 1 +d 0 +d -1 r -1 +…d -n r -n So, instead of dividing the fraction part by r (2 in the case of binary), we will multiply it by r at each step.
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Review: Hexadecimal Contains 16 digits (as opposed to 2 in binary, 10 in decimal). 0, 1, ..., 9, A, B, C, D, E, F A is equal to decimal 10 F is equal to decimal 15 A5 in hexadecimal = A * 16 + 5 * 1 = 10 * 16 + 5 = 165 decimal. So why represent binaries using hexadecimal ? Why not say decimal or some other format ?
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Review:Exercise Convert these binary numbers to hexadecimal: 10100110 1110101001 101100111
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Review:Base-2 Addition and Subtraction 1001010+1110101=?
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