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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.

A digital system typically has a fixed number of bits to represent a binary number. For example, if we have four bits, we can have the numbers from 0 to 15: binary decimal 0000 0 0001 1 0010 2 0011 3 0100 4 0101 5 0110 6 0111 7 1000 8 1001 9 1010 10 …

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