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Positional Number System Number system use positional notation to represent value. The position of the character(numeral) in a character string (collection of possible numerals) indicate value as well as the character itself. Radix (base) is the number of numeral characters in the character set of positional number system. Position Weiaht is a constant that represents the value of a position. Different position has different weight. It is the integer power of radix
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Binary Arithmetic Binary arithmetic Addition - Augend+addend+carry-in Sum ....carry-out Subtraction - Minuend-subtrahend-borrow-in difference ...borrow-out
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A function is a term used in mathematics and logic to denote a relationship between input and output variables. Each variable is restricted to binary (0, 1) values The relationship is the complex of three primitive functions (And \\Not\\Or)
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Basie cCoucept Boolean algebra (Logic algebra) is closure mathematical system that defines a series of logic operation (and, or, not) performed on set k of variables (a, b,...) which can only have two values of 0 or 1
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Hazard o Boolean algebra does not account for propagation delays through signal paths of actually circuits. o The delay can cause glitches to occur. A glitch is an unwanted signal, usually short pulse caused by the transient behavior of signal path that have different delays A hazard exists any time the potential for glitches is present
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FLIP-FLOPS Flip-flops are digital devices that have the ability to store binary information after the excitation input has changed. They are considered to be the basic memory cell for the majority of electronic binary data storage applications. This section explores the flip-flop from a functional perspective
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绪论 信息时代的特征 用信息科学和计算机技术的理论 和手段来解决科学、工程和经济问题
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• 对称性和叠加性 • 奇偶虚实性 • 尺度变换特性 • 时移特性和频移特性 • 微分和积分特性 • 卷积定理 • Paseval定理
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• 时域抽样的傅立叶变换• 频域抽样等效为时域周期重复
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•直流分量和交流分量 •偶分量与奇分量 •脉冲分量 •实部分量与虚部分量 •正交分量 • 正交矢量 • 正交函数 • 正交函数集
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