Can anyone tell me the advantages and disadvantages of the real number system????
613651
Real numbers are what we use every day. They include all numbers other than immaginary numbers, which are the result of the sqare root of a negative number. The main disadvantage of the real number system is that almost all real number can only be approximated using the decimal system. Pi for example can only be approximated. 1/3 writen in decimal form can only be approximated as .333333333....
380829
Actually the Hindus started using the decimal numbering system, 0 to 9, 1500 years ago.  after 9 you add 1 infront to make 10, 12, 13, etc.
945798
Most people use a base 10 system. Whatever you use, the base is that "Unreachable" number. For example, in base 10, there is no digit for 10, you start a new column representing how many 10's you've amassed. You have a 1's column a 10's column a 100's column and so forth. To get the numerical value you multiply (most people are so used to it, they just do it in their head). If the number is 823 you can express it as 3X1 plus 2X10 plus 8X100\n3x1 = 1\n2x10 = 20\n8X100=800\n-----------------\n1+20+800= 821\n\nSo 3 plus 20 plus 800. Make sense?\n\nIn binary "2" is the unreachable number, so you go 1, 10, 11, 100, etc. You have a 1's, 2's, 4's, 8's column.\nThe number 11011 would be 1Xone, plus 1xtwo, plus 0Xfour, plus 1xeight, plus 1x16 or 27 in base 10.\n\n1x 1 = 1\n1x 2 = 2\n0x 4 = 0\n1x 8 = 8\n1x16 = 16\n---------------\n1+2+8+16=27\n\nLet's look at your specific numbers 1011, that's \n\n1  x  1  =  1\n1  x  2  =  2\n0  x  4  =  0\n1  x  8  =  8\n--------------------\n1+2+0+8= 11\n\nYour top number is 11 (in base 10)\nYour bottom number:\n\n1 x 1 = 1\n1 x 2 = 2\n----------------\n1+2=3\n\nSo the problem states 11/3, that's pretty easy. 3.666(repeating)\n\nWith practice, it becomes easier. You learn to recognize the column values and mulitply in your head. \n\nHope that helps,\nOdd
865218
It's all real numbers because there's no fraction, so you don't have to worry about a number being over zero or anything, so all real numbers, your range is also all real numbers.
1033912
It's actually pretty easy.  When you take a number, jumble around it's digits and then subract the new number from the old, you are always going to get a difference divisible by 9.  Since 9 divides the sum of the digits of all numbers divisible by 9, then nine divides the sum of the digits of the difference.  When you give all but one of the digits (and knowing that the last one is not 0), the computer just takes the sum of the digits you gave it, and subtracts it from a multiple of 9 (so that the remainder is between 1 and 9).  The number that you picked will always be the remainder.
888996
http://en.wikipedia.org/wiki/Indefinite_and_fictitious_large_numbers\n\nlook at that
458677
There's a very explicit algorithm which explains\nhow to handle number, operators (including left\nor right precedence), functions, etc. on the \nWikipedia site for RPN (see reference #1).\n\nMostly, it's very straight-forward.  If it's an operand\n(ie. a number), then push it on the stack.  If it's an\noperator, then pop off as many operands are needed and\nevaluate.\n\nBut do look at the full algorithm for the details.\n\nOh yeah, for a full-blown implementation, see the source\ncode to the Unix "dc" (desk calculator) program.  The\nSolaris source is at reference #2.
533811
The numbers on a computer number-pad are designed for easy entry of a whole series of numbers - number-crunching as it were (these are the true confessions of a former accountant!) - having the zero on the bottom is the quickest arrangement for rapid data-entry; the numbers on a phone / ATM (and remote controls) on the other hand are designed as a replacement for the rotary dial which had that same sequence, and also included the letters of the alphabet - which is the basis of the current SMS / text messaging system. You don't need to enter as many numbers on a phone key-pad, and having the numbers and letters both arranged in ascending order helps us to remember the association.
148676
Advantages, you only have to hit the 1 key.\ndisadvatages, no one knows what the heck your asking.\nDUH
1113487
I'm not sure anyone has "taught" you anything yet.\n\nThe "base" of a number system indicates how many different digits are used.  The base also tells us the first value that will need two digits to be expressed.  We normally use a base 10 numbering system--10 is the first two-digit number.\n\nOctal is a base 8 numbering system.  The numbers in octal (counting up) are 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, ...  As you can see, there are only 8 different digits used in this numbering system.  (By the way, the largest two-digit number in octal is 77.  The next number is 100.)\n\nHexadecimal is a base 16 numbering system.  That means that 16 must be the first value that requires two digits, so we borrow letters of the alphabet to give us enough digits.  Counting up in hexadecimal looks like this:\n0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 1C, 1D, 1E, 1F, 20, 21, 22, ...\nAs you keep going, you can have a value like EA--both of those are digits.  The biggest two-digit number in hexadecimal is FF--the next number after that is 100.\n\nHow do we think about numbers in these other systems?\n\nRemember that in our base 10 numbering system the first digit (on the right) is the "ones" digit, the next digit is the "tens" digit, the next is the "hundreds" digit, and so forth.  Notice that these are represented as powers of the base.  That is, the first digit is the 10^0 digit, so take the value here and multiply by 10^0.  The next column is the 10^1 column.  The next column is the 10^2 column.  The next would be the 10^3 column.\n\nThe same is true in the other systems.  In octal, the first digit (on the right) is the "ones" column (8^0).  The next column would be the "eights" column (8^1).  The next column would be the "sixty fours" column (8^2).  And so forth.  So the octal value 427 means that we have 4 sixty-fours, 2 eights, and 7 ones (the decimal value would be 279).\n\nIn hexadecimal, the first digit (on the right) is the "ones" column (16^0).  The second digit is the "sixteens" column (16^1).  The next column would be the "two hundred fifty-sixes" column (16^2).  So the hexadecimal value 2AB means that we have 2 of the sixteen squares, A sixteens, and B ones (the decimal equivalent would be 683).\n\nThis doesn't give you nice neat formulas for converting (but you didn't ask for that).  But does this help make sense of these numbering systems?\n\nThe reason these are used, by the way, is that they both relate nicely to the binary numbering system--which is what machines use.  In binary (base 2), there are only two digits--0 and 1--on and off--so switches operate in a binary world.  Instead of talking in binary, the digits are grouped.  Octal corresponds to groups of three binary digits, while hexadecimal corresponds to groups of four binary digits.
80708
The advantage is it's free.\n\nThe disadvantage is that is very unsophisticated and gives you very little control as what to allow in or out.\n\nZone Alarm is a much better choice.
806909
I POSTED THE FIRST CORRECT ANSWER HERE AND WAS WRONGLY DELETED FOR A BOGUS VIOLATION REPORT\n\nI posted last night around 12pm, here was my (correct) answer:\n\nOk so let the tens digit be x, then the ones digit is (12-x). The value of the number is 10*x+(12-x) = 9x+12 which you are told = 11x 9x+12=11x 12=2x x=6 12-x=6 also So the number is 66. (Check x = 6*11 as claimed.)\n\n(There is some severely dishonest point-gaming going on around here)
72628
I suppose my best answer would be any system that uses a single 'symbol' to represent a numerical value.\n\nThe 'digit' system most people are accustomed to is "base 10" where the digits range from '0' to '9'.\n\nIn the case of 'hexadecimal', the digit system includes not only the digits from '0' to '9', but also the letters 'A' through 'F', which represent the numerical values 10 through 15 (in base 10), but they are represented by a single digit.\n\nA digit system, in my humble opinion, is one that maps a numerical value (which may require one or more symbols to represent it) to a single symbol that represents that value.
807428
Many different kinds of number systems developed over the course of history.  In addition to our modern base-10 number system, different cultures have used base-5, base-12, base-16, base-20, base-60, mixed-base, and other number systems.\n\nIn the modern world, base-2, base-4, base-8, and base-16 number systems are often used to accommodate the binary logic of most computer systems.
765117
The biggest possible disadvantage would be any "fees" that your bank would incur.  Be sure to read that fine print.  The convenience of a debit card comes with more responsibility too, you've got to write down all of those transactions in your ledger or it can really cause a headache later when you try to balance your books.
790243
I'm not really sure I understand your question correctly, but computers work using only two digits, 0 and 1 (sometimes referred to as 'off' and 'on', like a light bulb).  As a result of that, pretty much everything that happens inside a computer is based on 2 (= even) numbers.
835878
There's a better way of looking at it.\n\nFor every real number x in [0,1) you define D(x, n) as the nth decimal of x.  This is defined for every natural number n.\n\nFor x=1/3, we have D(1/3, n) = 3 for every n.  The number 0.3333... (the dots are important, they indicate that the nth decimal is a 3 for every n) is not "very close" to 1/3, it does not "tend toward" 1/3.  It is EXACTLY the number 1/3.  Show me a number other than 1/3 and I will show you that its decimal representation is not 0.33333...\n\nFor 0, we have D(0,n) = 0 for every n.  There is never a '1' decimal.  If you give me an arbitrarily small number 0.00000...1, the digit 1 is at a finite position p.  I can then reply with a number such that D(x,n)=0 for all n<=p, and D(x,p+1) = 1.  That number is greater than zero and smaller than the number that you gave me.  \n\nThe 0.5 = 0.49999... thing is just a quirk of decimal notation.  We can formally prove the equality as follows:\n\nLet a = 0.5, i.e. D(a, 1) = 5 and D(a,n) = 0 for all n>2.\nLet b = 0.4999..., i.e. D(b, 1) = 4 and D(b,n) = 9 for all n>2.\n\nProof by contradiction that a=b: Let's suppose on the contrary that a > b.  This means there must be a number x between a and b.\n\nLet's figure out the digits of x.  Since x is less that a=0.5, its first decimal must be a 4.  D(x,1) = 4.\n\nThe second decimal of x must be 9 since x > b `> 0.49.\nThe third decimal of x must be 9 since x > b >0.499.\nAnd so on, the nth decimal of x must be a 9 because x > b > the number y such that D(y,1)=4, D(y,i)=9 for i=2 to n and D(y,i) = 0 for i>n.\n\nTherefore x has exactly the same digits as b=0.499999... (I just showed that for every n, the nth digit of x is the same as the nth digit of b), and so x=b.  Contradiction, ergo a = b.\n\nThat's the difference between 0.499999... vs. 0.5 and 0.0000...1 vs. 0.  In the latter case, it is possible to find a number that is between the two.