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Introduction to Digital Electronics - Agner

1 Introduction to Digital Electronics by Agner Fog, 2019-10-30. Contents 1. Number systems .. 3 Decimal, binary , and hexadecimal numbers .. 3 Conversion from another number system to decimal .. 4 Conversion from decimal to another number system .. 5 Addition of binary numbers .. 6 Signed binary numbers .. 7 binary coded decimal numbers .. 9 Exercises .. 10 2. Boolean algebra .. 12 Laws and rules .. 13 Truth tables .. 14 Reducing a Boolean expression .. 15 Exercises .. 16 3. Digital circuits .. 18 How Boolean gates are made .. 18 Gate symbols .. 21 Exercises .. 23 4. Commonly used Boolean circuits .. 25 Decoders .. 25 Encoders .. 26 Seven segment decoders.

The conversion: binary → hexadecimal → decimal is easier than binary → decimal. Likewise, the conversion: decimal → hexadecimal → binary is faster than decimal → binary because you need fewer divisions. 1.4. Addition of binary numbers Addition of binary numbers goes the same way as for decimal numbers, as we learned at school. This

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