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Digital Logic & Design Lecture No. 3

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Number System Conversion Conversion between binary and octal can be carried out by inspection. Each octal digit corresponds to 3 bits = = = = Is the number a valid octal number? 2

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Number System Conversion Conversion between binary and hexadecimal can be carried out by inspection. Each hexadecimal digit corresponds to 4 bits = 9 A 6. B = C B 8. E 7 16 E 9 4. D 2 16 = C 7. 8 F 16 = Note that the hexadecimal number system requires additional characters to represent its 16 values. 3

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Number Systems 4

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5 Basic Binary Arithmetic

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6 Binary Addition

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Sum Carry Sum

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Binary Addition 8 Examples:

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Basic Binary Arithmetic 9 Binary Subtraction

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Difference Borrow

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Binary Subtraction 11 Examples:

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