《数字逻辑设计原理与实践.ppt

Chapter 2 Number Systems and Codes Please skillful in… Positional-Number-System Binary ? Decimal ? Octal ? Hexadecimal ? and P-N-S conversions Addition and Subtraction of Nondecimal Numbers Representation of Negative Numbers Two’s-Complement Addition and Subtraction； overflow BCD Codes Gray Code？ Cha2. Positional Number System cha2.二进制（binary numer system） cha2.二进制（binary numer system） cha2.八进制（octal number system） cha.十六进制（Hexadecimal number system） cha2.Nondecimal numbers convert into Decimal I cha2.Nondecimal numbers convert into Decimal II cha2.Decimal number convert into Nondecimals I cha2.Decimal numbers convert into Nondecimals II cha2.Decimal numbers convert into Nondecimal III cha2.Decimal numbers convert into Nondecimal IV cha2. BIN to OCTHEX I cha2. BIN to OCTHEX II cha2. BIN to OCTHEX III cha2. OCTHEX to BIN I cha2. OCTHEX to BIN II * 电子科技大学光电信息学院 陈德军 * 电子科技大学光电信息学院 陈德军 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. P-N-S： Weight (权重) Digit in position “i” The number EX： 注意：公式中r决定了该进制的权，亦决定该进制是多少进制 r=10 十进制； r=2 二进制； r=8 八进制； r=16 十六进制； Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Binary numbers： Thereinto EX： 100112 100.11012 1111.10012 … Weights： MSB LSB Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. The weights of Binary Position1 Weights Decimals Position2 Weights Decimal 12 212 4096 -1 2-1 0.5 11 211 2048 10 210 1024 -2 2-2 0.25 9 29 512 8 28 256 -3 2-3 0.125 7 27 128 76 26 64 -4 2-4 0.0625 5 25 32 54 24 16 -5 2-5 0.03125 3 23 8 2 22 4 1 21 2 -6 2-6 0.015625 0 20 1 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Octal numbers： EX： 178 56.78 170.7148 … weights： 常用作微机机器语言的书写 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.