Binary Representation and Computer Arithmetic

Aug 04, 2012

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Binary Representation and Computer Arithmetic

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1. Binary Representation and Computer Arithmetic

2. DECIMAL and BINARY system The Decimal System This uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent numbers The Binary System uses just two digits, 0 and 1 easier for a computer to distinguish between two different voltage levels (than ten)

3. POSITIONAL NOTATION (in decimal)

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Binary Arithmetic

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Registers and Binary Arithmetic

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Computer Arithmetic

Computer Arithmetic. See Stallings Chapter 9. Arithmetic & Logic Unit (ALU). ALU does the calculations “Everything else in the computer is there to service this unit” (!) Handles integers May handle floating point (real) numbers

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Binary representation and logic

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Number Representation and Binary Arithmetic

Number Representation and Binary Arithmetic. Unsigned Addition. Binary Addition. 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0 and carry 1 to the next column. Examples:. Carries. 1 1 1 0101 (5 10 ) + 0011 (3 10 ) 1000 (8 10 ). 0101 (5 10 ) + 0010 (2 10 )

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Binary numbers and arithmetic

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Binary Arithmetic. Math For Computers. Huh?. Binary numbers are NUMBERS That means you can add, subtract, multiply, and divide 2 + 2 = 4 In Binary: 10 + 10 = 100 So you COULD just convert all numbers to decimal, do the math, and then convert the answer back… But I don’t care about the math

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Computer Arithmetic and the Arithmetic Unit

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Binary Representation and Computer Arithmetic

Binary Representation and Computer Arithmetic. DECIMAL and BINARY system. The Decimal System This uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent numbers The Binary System uses just two digits, 0 and 1

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Binary Representation

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Binary Arithmetic

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