ITM 207 Chapter Notes - Chapter 2: Binary Number, Octal, Natural Number

• School: Ryerson University
• Department: Information Technology Management
• Course: ITM 207
• Professor: Arthur Wrigglesworth

Document Summary

Number: a unit of an abstract mathematical system subject to the laws of arithmetic. Natural number: the number 0 and > 0. Rational number: an integer or quotient of two integers. Base: the foundational value of a number system, which dictates the number of digits and the value of digit positions. Hashing: takes numbers and scrambles them by interpreting them in a different base. Base 2 (binary) has two digits: 0 and 1. Base 8 (octal) has eight digits: 0 to 7. Base 16 (hexadecimal) has 16 digits: 0 to f. Base 16 has 16 digits: 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e and f. Write out the binary number then re-group in three from the right. Keep doing it until you reach 0 as the quotient. Divide the decimal number by the new base (2) Replace the original decimal number with the quotient. Divide the decimal number by the new base (16) Make the remainder the next digit to the left in the answer.