Chapter 1 review questions 1. Which of the following is true about 1 bit? a. Can represent decimal values 0 through 9 b. Can be used to represent one character in the lowercase English alphabet c. Represents one binary digit d. Represents four binary digits 2.
1,054,848 c. 1,405,888 d. 1,045,828 5. Evaluate: 12xy, when x = 8 and y = 11. a. 31 b. 228 c. 1056 d. 188 6. Write
Show the steps of conversion that you used. Adding leading zeroes creates the number 001101102 which can be split into 00112 and 01102 the hexadecimal value for these two bytes are 316 and 616 respectively so this number would be 3616 Exercise 1.3.6 Represent the hexadecimal value f616 in binary and decimal. Show the steps of conversion that you used. F16 = 11112 and 616 = 01102 when put together the binary value is 111101102 which is equal to 246. Lab 1.3 review 1.
3mn4 + 6mn4 9. −11c4d + 12c4d 8. 12g2 − 7g2 10. 42z3 − 15z3 Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.
Exercise 1.3.1 What is the decimal value of Byte 1 by itself? What is the decimal value of Byte 2 by itself? -6400 -233 Exercise 1.3.2 What is the decimal equivalent of the binary sequence in Figure 1- 12 (the combined sequence of Byte 1 and Byte 2 as a single decimal value)? How does this compare to the individual values of Byte 1 and Byte 2? -6633 -There is an increase of bits.
110 (network ID), 10.10.1 (host) What are the binary values of the host ID and the network ID? Hint: You should use decimal-to- binary conversion skills on each octet of the address separately and chain the bytes together for the answer. 1101110.00001010.00001010.00000001 Exercise 8.1.2 Use your textbook and the Internet to complete Table 8- 1. Class | Range of 1st byte (octet) in decimal | Network ID | Host ID | Possible Networks | Possible Hosts per Network | A | 0-127 | A | b,c,d | 2^7 | 2^24 | B | 128-191 | a,b | c,d | 2^14 | 2^16 | C | 192-223 | a,b,c | D | 2^21 | 2^8 | Why is the number of possible networks for each class not equal to 2 raised to the power of the number of bits used for the network ID? It would require more bits Exercise 8.1.3 Would the IP address in Figure 8- 1 be valid as a class C address?
[2] (b) Shade 25% of the following figure. [1] (c) Write down all the factors of 22. [2] .................................................................................................................................................................................................................................... (d) Write 7458 (i) (ii) correct to the nearest 10, correct to the nearest 1000. ...................................................... ...................................................... [2] 185-02 9 Examiner only 6. y 8 7 6 5 4 3 2 A –8 –7 –6 –5 –4 –3 –2 –1 1 0 –1 P –2 –3 –4 –5 –6 1 2 3 4 5 6 x B Write down the coordinates of (a) (b) the point P, the mid-point of the line AB. ( ....................... , ....................... ) [1] ( ....................... , ....................... ) [1] 185-02 Turn over.
Use the commutative and associative laws to write at least three expressions equivalent to (3x)y. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 94 3C • b Properties of Real Numbers Use the commutative and associative laws to find equivalent expressions. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 95 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Consider a multiplication problem from arithmetic: To carry out the multiplication, we actually added two products. That is, Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 96 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Compute in two ways: Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 97 3C Properties of Real Numbers The Distributive Law of Multiplication over Addition Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 98 3C Properties of Real Numbers The Distributive Law of Multiplication over
A user has opened a word processor, typed the numbers123456789, and stored the document as a file called report1. Which of the following determines, in part, what bits the computer stores in the file to represent the text typed into the report? d. The binary equivalent of decimal 123456789 7. A user has opened a calculator application, typed the numbers 123456789, and then done some math problem using this number Which of the following determines, in part, what bits the computer stores in RAM to represent the number123456789? d. the binary equivalent of decimal 123456789 8.
This can be displayed on a time line: | | | | | $P | $400,000 | | | | | | 0 | 90 | 180 | 270 | | | | | | | | | P | = | price | = | unknown | | S | = | Maturity value | = | $400,000 | | r | = | Simple interest rate (decimal) | = | 9.16 | 100 | | = | 0.0916 | | t | = | Time period (years) | = | 90 | 365 | | = | 0.24657534... years. | | The step-by-step calculation is: P | = | S(1 + rt)-1 | | = | 400,000(1 + 0.0916 x 0.24657534...)-1 | | = | 400,000 x 0.97791257...