Transcription of Introduction to Digital Electronics - Agner
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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 .. 27 Multiplexers .. 28 Adders .. 29 Subtracting binary numbers .. 30 Exercises .. 32 5. Flip-Flops .. 34 Basic feed back circuit .. 34 SR flip-flop .. 34 SR flip-flop with enable.
The hexadecimal system is often used as a short way to represent binary numbers with many digits. Each hexadecimal digit corresponds to four binary digits, because 16 = 24. For example, the binary number 0100101011010001 (base 2) is easily converted to the hexadecimal number 4AD1 (base 16) by dividing the bits into groups of four: 0100 1010 ...
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