binary digits
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Binary Digits
By Aayush Gala
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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
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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.
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Let’s Pull it Apart
Bi:Bi-cycle
Bi-focals
So Bi means “two”
NaryDictionary definition:“Not one”
Binary=two not one
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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…
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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.
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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
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Binary Addition4 Possible Binary Addition Combinations:
(1) 0 (2) 0+0 +100 01
(3) 1 (4) 1+0 +101 10
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Converting decimal into binary16 8 4 2 11 1 1 0 1
16 + 8 + 4 + 0 + 1 = 29
29 in binary form is: 11101
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Binary ASCII Code
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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”
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Thank You