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public static String factor(int n) { public static String factor(int n) { String primes=""; int p = next(); while (n > 1) { if (n%p==0) { primes += (primes.length()==0 "":"*") + p; n /= p; } else p = next(); if (p == -1) { primes += " OVERFLOW"; break; }

In the circuit of Fig. 3-10(a), the transistor is a Si device, RE 200 ; R2 10R1 10 k , RL RC 2 k ; 100, and VCC 15 V. Assume that CC and CE are very large, that VCEsat % 0, and that iC 0 at cuto . Find (a) ICQ , b VCEQ , c the slope of the ac load line, (d) the slope of the dc load line, and (e) the peak value of undistorted iL .

} setLast(); return primes; }

(a) Equations (3.5) and (3.7), give RB so ICQ 1 103 10 103 1 103 909 and VBB 15 1:364 V 3 11 103 11 10 VBB VBEQ 1:364 0:7 3:177 mA % RB = 1 RE 909=101 200

The sign bit is 0 (positive), the exponent field has the value 130 (10000010), and the mantissa field has the value 0001 (and lots of following zeros) As you can imagine, computing with real numbers requires the computer to do more work than computing with integers The mantissa and exponent fields must be considered appropriately in all mathematical operations In fact, some computers have special floating-point processor hardware to speed such calculations CHARACTER FORMATS We think of computing as work with numbers, but in fact most computing operates on character data rather than numeric data names, addresses, order numbers, gender, birthdates, etc are usually, or often, represented by strings of characters rather than numeric values Characters are mapped to integer numbers There have been many character to-integer mappings over the years.

public class TestGoldbach { public static void main(String[] args) { Primes.setSize(1000); System.out.println("4 = 2+2"); for (int n = 6; n < 100; n += 2) { System.out.print(n); for (int p = 3; p <= n/2; p += 2) { if (Primes.isPrime(p) && Primes.isPrime(n-p)) { System.out.print(" = "+p+"+"+(n-p)); } } System.out.println(); } } } public class TestFermat { public static void main(String[] args) { Primes.setSize(1000); for (int p = 0; p < 5; p++) { int n = (int)Math.pow(2,Math.pow(2,p)) + 1; if (Primes.isPrime(n)) { System.out.println("p = "+p+", n = 2^2^p = "+n); } } } } public class TestBabbage { public static void main(String[] args) { Primes.setSize(1000); for (int x = 0; x < 50; x++) { System.out.print(x); int n = x*x + x + 41; if (Primes.isPrime(n)) { System.out.println("\t"+n+" is prime"); } else { System.out.println(); } } } } public class TestTwinPrimes { public static void main(String[] args) { Primes.setSize(1000); int n = Primes.next(); while (n < 0.9*N) { if (Primes.isPrime(n+2)) { System.out.println(n + "\t" + (n+2)); } n = primes.next(); } } }

(b) KVL around the collector-emitter circuit, with ICQ % IEQ , gives VCEQ VCC ICQ RE RC 15 3:177 10 3 2:2 103 8:01 V c Slope 1 1 1 1 2 1 mS Rac RC RL 2 103

CHAP. 2]

d (e)

IBM invented a mapping called binary coded decimal (BCD), and later extended BCD interchange coded (EBCDIC), which became a de facto standard with IBM s early success in the computer market The American standard American Standard Code for Information Interchange (ASCII) was defined in the 1960s and became the choice of most computer vendors, aside from IBM Today Unicode is becoming popular because it is backwards compatible with ASCII and allows the encoding of more complex alphabets, such as those used for Russian, Chinese, and other languages We will use ASCII to illustrate the idea of character encoding, since it is still widely used, and it is simpler to describe than Unicode In ASCII each character is assigned a 7-bit integer value For instance, A = 65 (1000001), B = 66 (1000010), C = 67 (1000011), etc.