By Arthur R. von Hippel
Reissued to commemorate the fortieth anniversary of the unique ebook of "Dielectrics and Waves". A finished assurance of an issue that crosses the fields of chemistry, physics and engineering and may be worthwhile to somebody with an curiosity in dielectric engineering.
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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.
dielectrics and waves by Arthur R. von Hippel