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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 .. 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 .. 35 2 D latch .. 36 Edge-triggered D flip-flop .. 36 Edge-triggered D Flip-Flop with set and reset.

You get the result from the fractions: 4 : 10 : 13 : 1 gives 4AD1 (base 16). You can choose the method you think is most logical or easiest to remember. 1.3.1. Conversion from hexadecimal to binary It is easy to convert a number from hexadecimal to binary. Just convert each hexadecimal digit to four bits.

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