Transcription of Introduction to Digital Electronics
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Introduction to Digital Electronics
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.
= 9*160 + 1*161 + 0*162 + 2*163 = 8217 (base 10). 1.1.1. Binary numbers Computers do not have ten fingers so the decimal number system is not the most efficient system to use in computers. Instead, the binary system with radix 2 is used. For example, 1101 (base 2) = 1*20 + 0*21 + 1*22 + 1*23 = 13 (base 10). The rightmost digit is the least ...
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