Read e-book online Digital Computer Design. Logic, Circuitry, and Synthesis PDF

By Edward L. Braun

ISBN-10: 1483228142

ISBN-13: 9781483228143

Electronic machine layout, common sense, Circuitry, and Synthesis

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Extra info for Digital Computer Design. Logic, Circuitry, and Synthesis

Sample text

COMBINATIONAL SWITCHING NETWORKS 51 Other telephone. Switching networks are widely used in a multitude of communication and control systems. The importance of switching networks in digital computers derives from two reasons. First of all, a digital computer requires switching cir­ cuits to control the transfer of information from one section of the com­ puter to another. Secondly, switching circuits may be used as arithmetic or logical operators that transform operands according to prescribed rules.

3-21) (3-22) •Thus indicating that any Boolean equation can be written using the three operators, AND, OR, and NOT. t A tautology is an equation that is true whatever be the truth values of the elemen­ tary propositions of which it is composed. 44 3. BOOLEAN ALGEBRA A(A + Β) = A + AB = A A+ÄB (3-23) = A+B (3-24) AB + ÄC + BC = AB + AC, (3-25) Equations (3-23), (3-24), and (3-25) merit special comment. Equa­ tion (3-23) may be factored as follows: A+ AB = Α(1 +B) = A, (3-26) The validity of this expression is obvious upon recalUng that (1 + B) = 1 and lA = A.

4 follows. 3. , the number 01 401 to be subtracted from the number 01 424 obtained from location a. (As a result a number ^ 0 will be in the accumulator at the time the instruction Τ 012 is executed, for the first 24 cycles of the iteration loop. On the twenty-fifth cycle, after all the required transfers have been performed, the number in the accumulator will be < 0 at the time Τ 012 is executed. 004 Causes control to be transferred to storage location 012 if the number in the accumulator is negative.

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Digital Computer Design. Logic, Circuitry, and Synthesis by Edward L. Braun

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