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Published byLora Mason Modified over 9 years ago
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Numbering Systems
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Computers do not use English. They do not use words Computers run on NUMBERS only Those numbers are in BINARY only
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Computers have used a variety of numbering systems (over the years) More primitive to more complex Binary Machine Code (Assembly) Programming Languages Use compilers to make machine code Great many of them!! Ex: Visual Basic.NET
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010101010100010101010101010101010101010010101010101 1010101010100100101010101010101010010101010101010 1000001010111110010101010100101001010101011010010 1010101010100101010101001010101010001010101010101 0101010101010010101010101101010101010010010101010 1010101010010101010101010100000101011111001010101 0100101001010101011010010101010101010010101010100 1010101010001010101010101010101010101001010101010 1101010101010010010101010101010101001010101010101 0100000101011111001010101010010100101010101101001 0101010101010010101010101010101011010101010101010 1010101010101010101010111111010101010101010101010 1010000101010101010101010101001010101010100101010 1010101010101010101010010101010100100000111010000
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assume cs:cseg,ds:cseg,ss:nothing,es:nothing jmp p150; start-up code jumpval dd 0; address of prior interrupt signature dw whozat; program signature statedb 0; '-' = off, all else = on waitdw 18; wait time - 1 second or 18 ticks hourdw 0; hour of the day atimedw 0ffffh; minutes past midnite for alarm acountdw 0; alarm beep counter - number of seconds (5) atonedb 5; alarm tone - may be from 1 to 255 - the ; higher the number, the lower the frequency alengdw 8080h; alarm length (loop count) may be from 1-FFFF dhoursdw 0; display hours db ':' dminsdw 0; display minutes db ':' dsecsdw 0; display seconds db '-' ampmdb 0; 'A' or 'P' for am or pm
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Look at the evolution of one simple program here here
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APL: 1957. A mathematical language. (~R ∊ R ∘.×R)/R←1↓ ⍳ R ‘ Find primes 1-R ALGOL: 1960. First second generation language. BEGIN FILE F (KIND=REMOTE); EBCDIC ARRAY E [0:11]; REPLACE E BY "HELLO WORLD!"; WHILE TRUE DO BEGIN WRITE (F, *, E); END; END.
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C: 1972. General purpose programming. #include int main(void) { printf("hello, world\n"); return 0; } Basic: 1964. Many versions since then. INPUT "What is your name: ", UserName$ PRINT "Hello "; UserName$ DO INPUT "How many stars do you want: ", NumStars Stars$ = STRING$(NumStars, "*") PRINT Stars$ DO INPUT "Do you want more stars? ", Answer$ LOOP UNTIL Answer$ <> "" Answer$ = LEFT$(Answer$, 1) LOOP WHILE UCASE$(Answer$) = "Y" PRINT "Goodbye "; UserName$
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VB.NET: 2003. Visual Programming with.NET libraries. Module Module1 Sub Main() Console.WriteLine("Hello, world!") End Sub End Module This is NOT the visual version of the program (stay tuned for that!) This is NOT the pinnacle of programming It is, however, a very useful, very easy to learn language
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Before we can start to program, we need to understand the basic numbering systems From time to time they will be used in our code Once upon a time, they were essential to programming. Now they are merely useful Several basic numbering systems: Decimal Binary Octal Hexadecimal
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Base 10 numbers Numbering system we all grew up with For example: 1,050,423 We all know how to manipulate these numbers Addition, subtraction, multiplication, etc Many ways to use these numbers. Ex: AbacusAbacus Other numbering systems are no different really Just a different base than 10
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What computers really use Base 2 Only symbols used are: 0, 1 Each digit represents a power of 2 Tutorial: http://www.math.grin.edu/~rebelsky/Courses/152/97F/Readings/student-binary.html
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Base 8 “Octa” Not used much anymore Used a LOT in early computing Group three binary digits together Each group forms numbers from 0-7 Used for one common task today: ASCIIASCII
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Base 16 Digits are: 0123456789ABCDEF Each digit is a power of 16 16^0 16^1 16^2 Etc Click here for more information
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New Math (1964)
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