------------------------- Week 03 Notes for DAT2343 ------------------------- -Ian! D. Allen - idallen@idallen.ca - www.idallen.com Calculators are not permitted during the first midterm test. You will benefit from knowing the powers of two from 2**(-4) to 2**16 and the decimal and binary values of the hexadecimal digits from zero to fifteen. Of course you can work them out; however, having at least some of them memorized will make things go faster for you on the test. (Remember that hexadecimal "A" = decimal 10 = binary 1010.) Lecture Notes for This Week - From Blackboard Course Documents (publisher-restricted distribution): 02.ppt - you do not need to know how to do math with sign-magnitude numbers - you do need to know how to convert them to/from decimal - you do not need to know how to do math with one's complement numbers - you do need to know how to convert them to/from decimal - you need to know how to do addition with two's complement numbers - you also need to know how to convert them to/from decimal - you do not have to multiply or divide or subtract any binary numbers - omit "Booth's algorithm" - omit most of the math in 2.8 "Error Detection and Correction" - 030_binary_math.txt - 040_overflow.txt - 050_hexadecimal_conversions.txt - http://en.wikipedia.org/wiki/Category:Computer_arithmetic - http://en.wikipedia.org/wiki/Signedness - http://en.wikipedia.org/wiki/Signed_number_representations - http://en.wikipedia.org/wiki/Sign_bit - http://en.wikipedia.org/wiki/Two's_complement - http://en.wikipedia.org/wiki/Carry_flag - http://en.wikipedia.org/wiki/Overflow_flag - http://en.wikipedia.org/wiki/Hexadecimal "odometer math", showing the number ring: http://www.cs.nmsu.edu/~pfeiffer/classes/273/notes/neg.html Notes on Binary Numbers, Arithmetic, and Radix Conversions: http://www.cs.nmsu.edu/~pfeiffer/classes/273/notes/binary.html Converting hex to decimal using bit flipping and adding one: http://www.madsci.org/posts/archives/2000-02/950277263.Cs.r.html Base Converter: Convert numbers in any base up to 32: http://www.cut-the-knot.org/binary.shtml Hex (only) to decimal and binary converter, and vice-versa: http://www.easycalculation.com/hex-converter.php http://www.easycalculation.com/decimal-converter.php A 1965 song about doing math in Base 8 (I was 11 at the time): http://www.youtube.com/watch?v=rwUdDFcsInI -- | Ian! D. Allen - idallen@idallen.ca - Ottawa, Ontario, Canada | Home Page: http://idallen.com/ Contact Improv: http://contactimprov.ca/ | College professor (Free/Libre GNU+Linux) at: http://teaching.idallen.com/ | Defend digital freedom: http://eff.org/ and have fun: http://fools.ca/