Digital Computer Design. Logic, Circuitry, and Synthesis by Edward L. Braun
By Edward L. Braun
Electronic laptop layout, common sense, Circuitry, and Synthesis
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Extra resources for Digital Computer Design. Logic, Circuitry, and Synthesis
Sample text
After the program has been run, there remains the task of evaluating the results. This is an extensive subject in itself, and will not be treated here. 5. Program Flow Diagrams It was stated in the preceding section that flow diagrams are useful in preparing a complete program for machine solution. For the sake of brevity, a flow diagram will be described for an operation that normally would be only a small part of an over-all program, namely a program for generating the square root of a given number N, where 0 < Ν < 1.
This places F2 and Fg in the category of universal switching functions. A simple proof of these statements is to show that all three primitive opera tions, namely AND, OR, and NOT can be obtained by the use of only the NOR or the AND. Derivation of the primitive operations from NOR operators only is shown in Fig. 1. If only one of the input lines, say that for A , NOR 48 Bo- NOR NOR FIG. 1. Derivation of primitive logical operations by NOR operators only 50 3. BOOLEAN ALGEBRA is used, then Fi = ÄB reduces to F2 = Ä, and is equivalent to the "com plement" operator.
5) In Boolean algebra, there are no subtraction or division operators as in ordinary algebra, nor operators such as roots or transcendental operators. (Nevertheless, all the arithmetic operations of number algebra can be performed using only Boolean algebraic operators. Various means for accomplishing this are described in Chapter 6 ) . 2. Logical Functions of Boolean A l g e b r a In this section three of the most common operations of Boolean alge bra will be described. Later in the chapter other operations will be con sidered, also.