By M. Morris Mano, Michael D. Ciletti
Electronic layout 5th version is a contemporary replace of the vintage authoritative textual content on electronic design. This booklet teaches the elemental options of electronic layout in a transparent, obtainable demeanour. The publication offers the elemental instruments for the layout of electronic circuits and gives methods appropriate for a number of electronic applications.
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Additional info for Digital Design: With an Introduction to the Verilog HDL (5th Edition)
Example text
8 Truth Tables of Logical Operations AND OR x y x#y 0 0 1 1 0 1 0 1 0 0 0 1 NOT x y x+y x xЈ 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 AND and OR are the same as those used for multiplication and addition. However, binary logic should not be confused with binary arithmetic. One should realize that an arithmetic variable designates a number that may consist of many digits. A logic variable is always either 1 or 0. For example, in binary arithmetic, we have 1 + 1 = 10 (read “one plus one is equal to 2”), whereas in binary logic, we have 1 + 1 = 1 (read “one OR one is equal to one”).
2 Basic Definitions 39 The postulates of a mathematical system form the basic assumptions from which it is possible to deduce the rules, theorems, and properties of the system. The most common postulates used to formulate various algebraic structures are as follows: 1. Closure. A set S is closed with respect to a binary operator if, for every pair of elements of S, the binary operator specifies a rule for obtaining a unique element of S. For example, the set of natural numbers N = {1, 2, 3, 4, c} is closed with respect to the binary operator + by the rules of arithmetic addition, since, for any a, b H N, there is a unique c H N such that a + b = c.
The 9’s complement of 604 is represented as 1001 0011 0111, which is obtained simply by complementing each bit of the code (as with the 1’s complement of binary numbers). The excess‐3 code has been used in some older computers because of its self‐ complementing property. Excess‐3 is an unweighted code in which each coded combination is obtained from the corresponding binary value plus 3. Note that the BCD code is not self‐complementing. The 8, 4, -2, -1 code is an example of assigning both positive and negative weights to a decimal code.