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2024/7/9Chapter2NumberSystems,Operations,andCodes1Lecture3OutlineLecture3:SignedNumber,Hexadecimal/Octal2-7 ArithmeticOperationswithSignedNumbers2-8 HexadecimalNumbers2-9 OctalNumbers
2024/7/9Chapter2NumberSystems,Operations,andCodes2KeyKnowledgeinLecture3Lecture3-1:SignedNumberArithmeticDeterminetheresultsignforsignednumberarithmeticoperation.Hex,octal,decimalandbinaryconversion.2’scomplementofhexadecimalnumbers.
2024/7/9Chapter2NumberSystems,Operations,andCodes3ArithmeticOperationswithSignedNumbersAdditionofSignedNumbersThepartsofanadditionfunctionare:Addend(加数)Augend(被加数)Sum(和)Howdoes2’scomplementrepresentationforsignednumbershandleresultsignforadditionoperation?Lecture3-1:SignedNumberArithmetic
2024/7/9Chapter2NumberSystems,Operations,andCodes4FourConditionsforAddingNumbers:Bothnumbersarepositive.Apositivenumberwithitsabsolutevaluelargerthantheabsolutevalueofanegativenumber.Anegativenumberwithitsabsolutevaluelargerthantheabsolutevalueofapositivenumber.Bothnumbersarenegative.Lecture3-1:SignedNumberArithmetic
2024/7/9Chapter2NumberSystems,Operations,andCodes5SignsforAddition1.BothnumbersarepositiveThesumispositive,thereforeintruebinary.Lecture3-1:SignedNumberArithmetic
2024/7/9Chapter2NumberSystems,Operations,andCodes6SignsforAdditionDiscardcarryThesumispositive,thereforeintruebinary.2.PositivenumberwithlargermagnitudeLecture3-1:SignedNumberArithmetic
2024/7/9Chapter2NumberSystems,Operations,andCodes7SignsforAddition3.NegativenumberwithlargermagnitudeThesumisnegative,thereforein2’scomplementformThatis:-128+64+32+16+8=-8Lecture3-1:SignedNumberArithmetic
2024/7/9Chapter2NumberSystems,Operations,andCodes8SignsforAddition4.BothnumbersarenegativeDiscardcarrythereforein2’scomplementformThesumisnegative,Rule:addthetwonumbers
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