+ All Categories
Home > Technology > Binary Digits

Binary Digits

Date post: 23-Jun-2015
Category:
Upload: aayush-gala
View: 393 times
Download: 4 times
Share this document with a friend
Popular Tags:
12
Binary Digits By Aayush Gala
Transcript
Page 1: Binary Digits

Binary Digits

By Aayush Gala

Page 2: Binary Digits

Number SystemsWe are all familiar with the decimal number system

(Base 10). Some other number systems that we will work with are:

Binary Base 2Octal Base 8Hexadecimal Base 16

Page 3: Binary Digits

INTRODUCTIONBinary 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.

Page 4: Binary Digits

Let’s Pull it Apart

Bi:Bi-cycle

Bi-focals

So Bi means “two”

NaryDictionary definition:“Not one”

Binary=two not one

Page 5: Binary Digits

Binary SystemBinary 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…

Page 6: Binary Digits

How it works?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 natureComputers circuits can add, subtract,

multiply, divide, and do many other things to numbers stored in binary.

Page 7: Binary Digits

Binary Numbering ScaleBase 2 Number

Base 10 Equivalent

PowerPositional

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

Page 8: Binary Digits

Binary Addition4 Possible Binary Addition Combinations:

(1) 0 (2) 0+0 +100 01

(3) 1 (4) 1+0 +101 10

Page 9: Binary Digits

Converting decimal into binary16 8 4 2 11 1 1 0 1

16 + 8 + 4 + 0 + 1 = 29

29 in binary form is: 11101

Page 10: Binary Digits

Binary ASCII Code

Page 11: Binary Digits

ASCII : EBCDICASCII

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”

Page 12: Binary Digits

Thank You


Recommended