2. Built-in Data Types

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• To represent a negative number, you can usethe first bit for a sign• This is almost what is done in most computers• Leftmost bit is for the sign (0 for +, 1 for -)• But two’s complement notation is used• (Details in homework)• For decimals, floating-point format is used: twonumbers are stored• Base• Mantissa• (Details later)14
• From another base to decimal is easy• What about the other way?• Here is an algorithm:• Set the dividend equal to the original numeral• Repeat as long as the dividend is not zero Divide the dividend by the new base Remember the remainder Set the dividend equal to the quotient• Form the numeral in the new base by writing theremainders in reverse order• …but we don't have to do this – or understandwhy it works• (except in homework!)15
Page 1 and 2: Department of Computer ScienceDr. J
Page 3 and 4: • Each bit is either 0 or 1, so i
Page 5 and 6: • Data such as sound (e.g., music
Page 7 and 8: • The symbol used to write a numb
Page 9 and 10: • Base 10 probably arose because
Page 11 and 12: • We are used to writing numbers
Page 13: • The algorithms you learned for
Page 17 and 18: • Different kinds of numbers• P
Page 19: • For efficiency, Python uses a s
Page 22 and 23: • Idea is to trade accuracy for r
Page 24 and 25: • Python uses a storage scheme wi
Page 26 and 27: • Differences• Addition, subtra
Page 28 and 29: • For these operations, arithmeti
Page 30: • In math, we use superscripts to
Page 33 and 34: • Basics• Naming variables• A
Page 35 and 36: • The name of a variable must be
Page 37 and 38: • The print statement distinguish
Page 39 and 40: • We often want to increase the v

2. Built-in Data Types

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