Download Introduction to Digital Electronics by John Crowe PDF

By John Crowe

This article takes the scholar from the very fundamentals of electronic electronics to an creation of cutting-edge ideas utilized in the sector. it really is perfect for any engineering or technological know-how pupil who needs to review the topic from its simple rules in addition to serving as a advisor to extra complicated themes for readers already accustomed to the topic. The insurance is adequately in-depth to permit the reader to development easily onto greater point texts.

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5 Draw out the truth tables and circuit symbols for two- and three-input AND, OR and XOR gates. 6 What is meant by a 'sum of products' expression? 7 Why can NAND and NOR gates act as universal gates? 8 Name the different ways that the operation of the same Boolean function can be described. ; (d) OWing a Boolean expression with 1? 3 The XOR function is usually expressed as: A ~g B = A . B + A . B Use Boolean algebra to show that this expression is also equivalent to: m m (a) A . B + A . B (b) (A + B) .

All that we need is a way of generating the complement of a number. This can be achieved (in any base) by taking the number whose complement is required away from the next highest power of the base. 13 What is the complement (the ten's complement ) of 58~0? Solution This is a two-digit number in base-10 and so must be subtracted from 102 to give the complement of 42. 14 What is the complement (the two's complement) of 1102 _ Solution This three-digit number must be subtracted from 23= 8 giving 2zo= 102.

Note that the BCD code is 12 bits long since each of the decimal digits is coded by four bits. Gray code As with binary code, Gray code uses n digits to produce 2~ distinct codes all of which are used. The difference is that as successively higher numbers (in base-10) are represented in Gray code, only one bit is changed at a time. 1. The rule for generating Gray code is to start with all zeros, representing 0, and then change the lowest significant bit that will produce a code not used before.

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