Chapter 1: Number systems and codes - Digital Logic Design, 4th ... [PDF]

1 Number systems and codes 1.1 Introduction A digital logic system may well have a numerical computation capability as w

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Digital Logic Design, 4th Edition by Clive Woods, Brian Holdsworth

1 Number systems and codes

1.1 Introduction A digital logic system may well have a numerical computation capability as well as its inherent logical capability and consequently it must be able to implement the four basic arithmetic processes of addition, subtraction, multiplication and division. Human beings normally perform arithmetic operations using the decimal number system, but, by comparison, a digital machine is inherently binary in nature and its numerical calculations are executed using a binary number system. Since the decimal system has ten digits, a ten-state device is required to represent the decimal digits, one state being allocated to each of the decimal digits. Ten-state devices are not readily available in the electrical world, ...

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