Binary Digits by Aayush GalaPresentation Transcript
By Aayush Gala
Number Systems We are all familiar with the decimal number system (Base 10). Some other number systems that we will work with are: Binary Base 2 Octal Base 8 Hexadecimal Base 16
INTRODUCTION Binary is also called the “Base 2 system”. The binary number system is used to model the series of electrical signals computers use to represent information 0 represents the no voltage or an off state. 1 represents the presence of voltage or an on state. The word binary is derived from the Latin root bini (or two by two). In this system the base b = 2 and we use only two symbols.
Let’s Pull it Apart Bi: NaryBi-cycle Dictionary definition: “Not one”Bi-focals Binary=So Bi means “two” two not one
Binary System Binary numbers are created by powers of 2 because there are only 2 numbers in the binary system “Binary uses two digits, so each column is worth twice the one before.” 1,2,4,8,16,32…
Electronic circuits exits in only two State: ON or OFF “On” = 1 and “Off” = 0 : signals stored inside the computer are used to encode numbers using the binary number system. Binary data storage has digital nature Computers circuits can add, subtract, multiply, divide, and do many other things to numbers stored in binary.
Converting decimal into binary 16 8 4 2 1 1 1 1 0 1 16 + 8 + 4 + 0 + 1 = 29 29 in binary form is: 11101
Binary ASCII Code
ASCII : EBCDIC ASCII ASCII was the standard numbering system for many years and is still used widely today. EBCDIC Is a different numbering system used by Mainframe computers. It is very similar to ASCII but uses different numbers to represent the symbols. EBCDIC stands for “Extended Binary Coded Decimal Interchange Code”