By Barry Blundell; Nawaz Khan; Aboubaker Lasebae; Muthana Jabbar

ISBN-10: 1408031299

ISBN-13: 9781408031292

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1 we illustrate the functionality of the gate. This shows the two possible logic states that can be applied to the input, and the corresponding logic states produced at the output. A table that illustrates the logical function of a gate is referred to as a ‘truth table’. Such tables are very convenient and can be used not only to show the logical operation of individual gates, but also to summarise the logical operation of circuits that are constructed from any number of gates. 1: The symbol and truth table for an inverter A gate is constructed on a silicon chip and consists of simple electronic components such as diodes and transistors.

6 Hexadecimal As discussed in Chapter 1, computers operate on binary numbers – 1s and 0s. Unfortunately, binary numbers tend to be quite large in terms of the number of bits (binary digits) needed to represent the decimal (base 10) equivalent. For example, to represent the base 10 number, 255, we need to use eight binary digits (11111111), and to represent the decimal number 64535 we need to use 16 binary digits. Writing down numbers in binary is in fact extremely tedious and it is easy to miss out a number – errors easily occur!

Similarly, if the TV is turned off, then pressing the button will turn it on. Thus the output resulting from the input depends on where we are in the on/off sequence. Sequential logic circuits are constructed using the combinational logic gates of the sort described in the previous section. 2. Here, we will examine several circuits and draw up truth tables for them. All circuits discussed in this section fall within the ‘combinational’ category mentioned in the previous section. 14. For all possible combinations of input, let us determine the corresponding outputs.

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Computer systems and networks by Barry Blundell; Nawaz Khan; Aboubaker Lasebae; Muthana Jabbar

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