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Lecture 8: Binary Multiplication & Division

1 Lecture 8: Binary Multiplication & Division Today s topics: Addition/Subtraction Multiplication Division Reminder: get started early on assignment 322 s Complement Signed Numbers0000 0000 0000 0000 0000 0000 0000 0000two= 0ten0000 0000 0000 0000 0000 0000 0000 0001two= 1111 1111 1111 1111 1111 1111 1111two= 231-11000 0000 0000 0000 0000 0000 0000 0000two= -2311000 0000 0000 0000 0000 0000 0000 0001two= -(231 1) 1000 0000 0000 0000 0000 0000 0000 0010two= -(231 2)..1111 1111 1111 1111 1111 1111 1111 1110two= -21111 1111 1111 1111 1111 1111 1111 1111two= -1 Why is this representation favorable?Consider the sum of 1 and -2 .. we get -1 Consider the sum of 2 and -1 .. we get +1 This format can directly undergo addition without any conversions!

Lecture 8: Binary Multiplication & Division • Today’s topics: Addition/Subtraction Multiplication Division • Reminder: get started early on assignment 3. 2 2’s Complement – Signed Numbers ... (231 – 1) 1000 0000 0000 0000 0000 0000 0000 0010two = -(231 – 2) ...

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