Circuits

Digital Electronics Demystified by Myke Predko

By Myke Predko

The sector of educating electronic electronics has no longer replaced considerably long ago two decades. the various comparable books that first turned to be had within the overdue Nineteen Seventies and early Nineteen Eighties are nonetheless getting used as simple texts. within the 20+ years when you consider that those have been written, the fundamental principles haven't replaced, yet they don't offer powerful hyperlinks to trendy electronics together with CMOS good judgment, Programmable good judgment units and microprocessor/microcontroller interfacing. classes instructing introductory electronic electronics will fill within the lacking components of data for college kids, yet neither the teachers nor scholars have assets to give an explanation for sleek expertise and interfaces.

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In this fictional house, I assumed that the upper window (‘‘W1’’) should never be opened – if it were opened, then the alarm would sound. Along with this, I decided that if the power failed and either of the windows were opened, then the alarm failed; this would be the case where the power to the house was cut and somebody forced open the window. Table 2-1 shows the cases where the alarm should sound and you will notice that the cases where the 31 32 PART ONE Intro to Digital Electronics alarm should sound are either a single event in the table, or a case where three are grouped together.

The waveform diagram is the first tool that will help you optimize your circuit. Before writing up this section, I was planning on the diagrams I wanted to include with it and one was a waveform representation of the first example combinatorial logic circuit’s operation from Table 1-9. The thin vertical lines indicate the edges of each state. After drawing out Fig. 1-18, it was obvious that signals ‘‘1’’ and ‘‘4’’ (from the marked circuit diagram Fig. 1-8) were redundant. Looking back at the diagram for the circuit, I realized that the AND gate with output 4 and inverter with output 3 could be completely eliminated from the circuit – the output of AND gate 1 could be passed directly to the XOR gate (with output 6).

The commutative laws state that the inputs to AND and OR gates can be reversed, which may seem obvious, but when you have a long logic equation that is written in an arbitrary format (not necessarily in sum of product format), you can get confused very easily as to what is happening. It’s useful to have a law like this in your back pocket to change the logic equation into something that you can more easily manipulate. To demonstrate the operation of these laws, we can go back to some of the logic circuits described in the Karnaugh map examples of the previous section.

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