Download An Introduction to Digital Logic by A. Potton (auth.) PDF

By A. Potton (auth.)

ISBN-10: 1349018376

ISBN-13: 9781349018376

ISBN-10: 1349018392

ISBN-13: 9781349018390

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Extra resources for An Introduction to Digital Logic

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This output could then be used to close a relay thus connecting the motor to the power supply. Let the outputs from the transducers connected to the 'power on' switch, the safety guard and the supply current indicator be described by the boolean variables P, G and C respectively. 1. 1 simply describes the boolean AND operation. The required system could therefore consist of a single AND gate. Suppose, however, gates are to be used from a range in which only positive logic NOR type operations are available.

Pairs of cells which identify possible simplifications are normally shown looped together. 2 The Karnaugh map technique The formal technique for using Karnaugh maps can now be presented. 6. 6 I - I 0 INTRODUCTION TO DIGITAL LOGIC 38 If two cells are looped, the corresponding terms in the boolean expression can be combined into a single term omitting the variable which is not equal in the two terms. 8 show the map technique applied to simplify two other boolean expressions. 7 shows the simplification of a three variable expression.

Design logic systems to indicate when an alarm condition exists. (i) Using NAND gates only. (ii} Using NOR gates only. 1 0. Describe the operation in boolean terms. 10 be modified if the NOR gate developed a fault such that the output became permanently 1. 10 is to be redesigned using a range of gates in which only NAND operations are available. Show a suitably modified system. 6 A logic system has three inputs A, 8, C. The output F is required to be 1 if the total number of l's at the inputs is an even number (zero is regarded as an even number).

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