Digital Electronics: Principles, Devices and Applications

ContentsPrefacexxi1 Number Systems 11.1 Analogue Versus Digital 11.2 Introduction to Number Systems 21.3 Decimal Number System 21.4 Binary Number System 31.4.1 Advantages 31.5 Octal Number System 41.6 Hexadecimal Number System 41.7 Number Systems – Some Common Terms 41.7.1 Binary Number System 41.7.2 Decimal Number System 51.7.3 Octal Number System 51.7.4 Hexadecimal Number System 51.8 Number Representation in Binary 51.8.1 Sign-Bit Magnitude 51.8.2 1’s Complement 61.8.3 2’s Complement 61.9 Finding the Decimal Equivalent 61.9.1 Binary-to-Decimal Conversion 61.9.2 Octal-to-Decimal Conversion 61.9.3 Hexadecimal-to-Decimal Conversion 71.10 Decimal-to-Binary Conversion 71.11 Decimal-to-Octal Conversion 81.12 Decimal-to-Hexadecimal Conversion 91.13 Binary–Octal and Octal–Binary Conversions 91.14 Hex–Binary and Binary–Hex Conversions 101.15 Hex–Octal and Octal–Hex Conversions 101.16 The Four Axioms 111.17 Floating-Point Numbers 121.17.1 Range of Numbers and Precision 131.17.2 Floating-Point Number Formats 13