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# Binary Digits

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### Binary Digits

1. 1. By Aayush Gala
2. 2. 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
3. 3. 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.
4. 4. Let’s Pull it Apart Bi: NaryBi-cycle  Dictionary definition:  “Not one”Bi-focals Binary=So Bi means “two” two not one
5. 5. 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…
6. 6.  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.
7. 7. Binary Numbering Scale Base 10 PositionalBase 2 Number Power Equivalent Value 000 0 20 1 001 1 21 2 010 2 22 4 011 3 23 8 100 4 24 16 101 5 25 32 110 6 26 64 111 7 27 128
8. 8. Binary Addition4 Possible Binary Addition Combinations: (1) 0 (2) 0 +0 +1 00 01 (3) 1 (4) 1 +0 +1 01 10
9. 9. 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
10. 10. Binary ASCII Code
11. 11. 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”
12. 12. Thank You