Class Notes (835,674)
ITM 207 (38)
Jim Tam (3)
Lecture

# ch2.doc

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School
Department
Information Technology Management
Course
ITM 207
Professor
Jim Tam
Semester
Winter

Description
1 Exercises 18- 45 are problems or short answer questions. Distinguish between a natural number and a negative number. A natural number is 0 and any number that can be obtained by repeatedly adding 1 to it. A negative number is less than 0, and opposite in sign to a natural number. Although we usually do not consider negative 0. Distinguish between a natural number and a rational number. A rational number is an integer or the quotient of integer numbers. (Division by 0 is excluded.) A natural number is 0 and the positive integers. (See also definition in answer to Exercise 1.) Label the following numbers natural, negative, or rational. a. 1.333333 rational b. – 1/3 negative, rational c. 1066 natural d. 2/5 rational e. 6.2 rational f. π (pi) not any listed If 891 is a number in each of the following bases, how many 1s are there? a. base 10 891 b. base 8 Can't be a number in base 8, c. base 12 1261 d. base 13 1470 e. base 16 2193 Express 891 as a polynomial in each of the bases in Exercise 1. 8 * 10 + 9 * 10 + 1 Can't b2 shown as a polynomial in base 8. 8 * 12 + 9 * 12 + 1 8 * 13 + 9 * 13 + 1 8 * 16 + 9 * 16 + 1 Convert the following numbers from the base shown to base 10. a. 111 (base 2) 7 b. 777 (base 8) 511 c. FEC (base 16) 4076 d. 777 (base 16) 1911 e. 111 (base 8) 73 Explain how base 2 and base 8 are related. Because 8 is a power of 2, base-8 digits can be read off in binary and 3 base-2 digits can be read off in octal. Explain how base 8 and base 16 are related. 8 and 16 are both powers of two. Expand Table 2.1 to include the numbers from 10 through 16. binary octal decimal 01 3 3 10 4 4 11 5 5 10 6 6 11 7 7 Expand the table in Exercise 26 to include hexadecimal numbers. binary octal decimal hexadecimal 01 3 3 3 10 4 4 4 11 5 5 5 10
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