1. Introduction to A+ Computer numbering Systems Prepared by: Hani Al-Mohair

2. Fill the table ExampleBased onNumbering SystemNo 1 2 3 4

3. Introduction to Binary Numbers How Computers Store Numbers Computer systems are constructed of digital electronics. That means that their electronic circuits can exist in only one of two states: on or off. Most computer electronics use voltage levels to indicate their present state. For example, a transistor with five volts would be considered "on", while a transistor with no voltage would be considered "off." Not all computer hardware uses voltage, however. CD-ROM's, for example, use microscopic dark spots on the surface of the disk to indicate "off," while the ordinary shiny surface is considered "on." Hard disks use magnetism, while computer memory uses electric charges stored in tiny capacitors to indicate "on" or "off."

4. Cont. These patterns of "on" and "off" stored inside the computer are used to encode numbers using the binary number system. The binary number system is a method of storing ordinary numbers such as 42 or 365 as patterns of 1's and 0's. Because of their digital nature, a computer's electronics can easily manipulate numbers stored in binary by treating 1 as "on" and 0 as "off." Computers have circuits that can add, subtract, multiply, divide, and do many other things to numbers stored in binary.

5. Converting from Decimal to Binary Computer numbering Systems: Decimal Binary Octal Hexadecimal.

6. Binary Truth Table 0 = Off 1 = On De8421 00000 10001 20010 30011 40100 50101 60110 70111 81000 91001 Convert from decimal to binary: (30) =? (56)= ? (267)= ?

7. From Binary to Decimal Fill the blanks: Computers use binary numbers and human use decimal numbers. Convert from Binary to decimal: (0111) 2 = ? (0001) 2 =? (1001) 2 =? (1100) 2 =? (1110) 2 =?

8. From Binary to Hexadecimal A10161C B11171D C12181E D13191F E141A20 F151B