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The unity follower of Fig. 9-13 is the noninverting ampli er of Fig. 9-3 if R1 ! 1 and R2 ! 0. (a) Find the output impedance Rout of the noninverting ampli er of Fig. 9-3 subject to the approximation ii 0.

Recall from our discussion of algorithms that a sequential search operates in O(n) time Therefore, the larger the file, the more time a search for any particular item requires That may not be a problem when you re keeping track of the birthdays of your friends, but if you re keeping a record of every MasterCard purchase transaction for millions of customers, the slow retrieval of information by serial search becomes prohibitive Other problems appeared as well For instance, if you store the billing address of the customer in each record of each sale, you waste a lot of space storing data redundantly Suppose that a customer changes their address; you have to rewrite all the transactions on record, using the new address You might decide to solve this problem by putting the billing addresses in a separate file.

Ordinary function syntax uses the prefix representation. The expression in Example 11.17 could be evaluated as

Model the op amp with the practical equivalent circuit of Fig. 9-1(a). (b) Let R1 ! 1 and R2 ! 0 in your answer to part a, to nd the output impedance of the unity follower. Ans: a Rout Ro R1 R2 = Ro R2 R1 1 AOL ; b Rout % Ro = 1 AOL 9.45 The circuit of Fig. 9-28 is to be used as a high-pass lter having a gain of 0.1 at low frequencies, unity gain at high frequencies, and a gain of 0.707 at 1 krad/s. Arbitrarily select C1 C2 0:1 F, and size R1 and R2 . Ans: R1 100 k ; R2 10 k Find the transfer function for the circuit of Fig. 9-38, and explain the use of the circuit. Ans: T s 1= sRC 1 , a low-pass lter with zero output impedance

sum(product(difference(5, x), y), quotient(6, sum(x, z)))

Fig. 9-38

That would save space in the transaction file, but now in order to compute a customer s bill, you must search serially through two files DATABASE TYPES Starting in the late 1960s, database systems were developed to deal with these and other problems Two early types of databases were the hierarchical and networking types IBM offered DL/1, a hierarchical database, and various other hardware and software companies offered networking databases on the CODASYL (Conference On DAta SYstems Language, Database Task Group) model IDMS was a particularly successful CODASYL database The hierarchical and networking database structures organized files together to provide more rapid access to the information, better security, and easier updates However, the structures were complex, tied to the implementation details of the file system, and fairly rigid In 1970, E F.

Fig. 9-39

Some scientific calculators use RPN, requiring both operands to be entered before the operator. The next algorithm can be applied to a postfix expression to obtain its value. Algorithm 11.7 Evaluating an Expression from Its Postfix Representation To evaluate an expression represented in postfix, scan the representation from left to right: 1. Create a stack for operands. 2. Repeat steps 3 9 until the end of representation is reached. 3. Read the next token t from the representation. 4. If it is an operand, push its value onto the stack. 5. Otherwise, do steps 6 9: 6. Pop a from the stack. 7. Pop b from the stack. 8. Evaluate c = a t b. 9. Push c onto the stack. 10. Return the top element on the stack.

For the circuit of Fig. 9-39, show that Io 1 R1 =R2 Ii , so that the circuit is a true current ampli er. (Note that Io is independent of RL .)

CHAP. 11]

Codd (Edgar, Ted, an Englishman who moved to the US after serving in WWII) of IBM proposed the relational database model The relational model relied heavily on mathematical theory At the time, it may have sounded dreamy, as data were simply to be stored in tables (called relations ) Each relation/ table would maintain information about one entity type (type of thing), and entities would be related to one another by virtue of information stored in the tables, rather than by external pointers or other devices..

If the noninverting terminal of the op amp in Fig. 9-29 is grounded, nd the transfer function vo =vi . (Compare with Problem 9.22.) Ans: vo =vi 1