CONVERTING BASE 8 TO DECIMAL CALCULATOR
simplifying exponents and square root calculator,solving quadratic equations completing the square,solving second order linear difference equation,greatest common factor for three number with variables,practice worksheets on adding, subtracting,multiplying,and dividing decimals. for 6th grade,solving second order homogeneous differential equations,combining like terms in algebraic expressions worksheets,test for adding and subtracting negitive and positive numbers,worksheets on add subtract multiply divide fractions,algebra substitution method calculator,how do you divide and times add subtract integers worksheet,prealgebra solving equations by multiplying and dividing worksheet,linear equation in two variables subject to linear constraint inequalities,multiplying,dividing,adding,subtracting integers,finding the least common denominator for two rational expressions,pre algebra distributive property prentice hall,least common multiple using the ladder method,Uniqueness of forcing terms in linear partial differential equations,how to solve multivariable algebra equation with fractions,slow steps balancing chemical equations with least common multiples,free advanced algebra add subtract rational expressions,ti-83 plus solving systems of linear equations in three variables,error 13 dimension on a ti 86 graphing calculator solving linear equations,What are sqaure root method of Quadratic Equations?,multiply and divide rational expressions calculator,math poems with the words, prime numbers, common multiples,common factors,adding and subtracting positive and negative integers free worksheets,pre algebra 6th grade chart line problems,Like Terms Simplifying Algebraic Expressions Activities Lessons,slow steps for balancing chemical equations with least common multiples,7th grade level variables and equations explanations Equations Substitution variables,Adding, subtracting, multiplying and dividing Integer worksheets,solving nonlinear differential equations matlab,convert decimal to square root fraction,solving basic algebra equations homework word problem,value for variable expression radicals roots,solving multiple variable polynomial equation,adding and subtracting fractions with like denominators worksheet,worksheet on adding,subtracting,multiplying,dividing integers,solving absolute value and radical equations using restrictions,adding subtracting dividing multiplying integers games,convert mixed fraction to decimal,dividing fractions and mix numbers cheat problem solver,how to solve second order linear nonhomogeneous differential equations,great common divisor formula javascript,simplify square root of difference of two squares,Pre-Algebra chapter 2 evaluate expressions, worksheet triangle expressions answers,quadratic equations square root property calculator,factoring polynomials with a cubed term, tutorial,Java method Convert Decimal Numbers to time,rules for adding variables in a square root,integers adding, subtracting, multiplying, dividing worksheet,multiple choice exponents algebra powerpoint rules,Simplifying a sum of radical expressions calculator,solving NONLINEAR simultaneous equATIONS USING MATLAB,Matlab solve second order differential equations,quadratic equation extracting square root,quadratic equation graph hyperbola,TI- 83 ,84 graphing calculator step by step of how to use to find slope of lines graphing calculator,online factoring of complex quadratic equations with variables only,adding, subtracting, multiplying, dividing integers,adding subtracting multiplying dividing integers,Quadratic Equation Calculator factor,pre algebra definitions open algebraic expression,how do you do the square root on the TI-83 plus graphic calculator?,Like Terms Simplifying Algebraic Expressions Junior High,converting base 2 fraction to decimal fraction Thank you for visiting our site! You landed on this page because you entered a search term similar to this: converting base 8 to decimal calculator, here's the result:
Chapter 4 -- Number Systems
about number systems.---------------------here's the decimal number system as an example: digits (or symbols) allowed: 0-9 base (or radix): 10 the order of the digits is significant 345 is really 3 x 100 + 4 x 10 + 5 x 1 3 x 10**2 + 4 x 10**1 + 5 x 10**0 3 is the most significant symbol (it carries the most weight) 5 is the least significant symbol (it carries the least weight)here's a binary number system: digits (symbols) allowed: 0, 1 base (radix): 2 each binary digit is called a BIT the order of the digits is significant numbering of the digits msb lsb n-1 0 where n is the number of digits in the number 1001 (base 2) is really 1 x 2**3 + 0 x 2**2 + 0 x 2**1 + 1 x 2**0 9 (base 10) 11000 (base 2) is really 1 x 2**4 + 1 x 2**3 + 0 x 2**2 + 0 x 2**1 + 0 x 2**0 24 (base 10) here's an octal number system: digits (symbols) allowed: 0-7 base (radix): 8 the order of the digits is significant 345 (base 8) is really 3 x 8**2 + 4 x 8**1 + 5 x 8**0 192 + 32 + 5 229 (base 10) 1001 (base 8) is really 1 x 8**3 + 0 x 8**2 + 0 x 8**1 + 1 x 8**0 512 + 0 + 0 + 1 513 (base 10)here's a hexadecimal number system: digits (symbols) allowed: 0-9, a-f base (radix): 16 the order of the digits is significant hex decimal 0 0 1 1 . . . 9 9 a 10 b 11 c 12 d 13 e 14 f 15 a3 (base 16) is really a x 16**1 + 3 x 16**0 160 + 3 163 (base 10) given all these examples, here's a set of formulas for the general case. here's an n-bit number (in weighted positional notation): S S . . . S S S n-1 n-2 2 1 0 given a base b, this is the decimal value the summation (from i=0 to i=n-1) of S x b**i iTRANSFORMATIONS BETWEEN BASES-----------------------------any base --> decimal just use the definition give above.decimal --> binary divide decimal value by 2 (the base) until the value is 0 example: 36/2 = 18 r=0 octal 1. group into 3's starting at least significant symbol (if the number of bits is not evenly divisible by 3, then add 0's at the most significant end) 2. write 1 octal digit for each group example: 100 010 111 (binary) 4 2 7 (octal) 10 101 110 (binary) 2 5 6 (octal)binary --> hex (just like binary to octal!) 1. group into 4's starting at least significant symbol (if the number of bits is not evenly divisible by 4, then add 0's at the most significant end) 2. write 1 hex digit for each group example: 1001 1110 0111 0000 9 e 7 0 1 1111 1010 0011 1 f a 3hex --> binary (trivial!) just write down the 4 bit binary code for each hexadecimal digit example: 3 9 c 8 0011 1001 1100 1000octal --> binary (just like hex to binary!) (trivial!) just write down the 8 bit binary code for each octal digithex --> octal do it in 2 steps, hex --> binary --> octaldecimal --> hex do it in 2 steps, decimal --> binary --> hex on representing nonintegers---------------------------what range of values is needed for calculations very large: Avogadro's number 6.022 x 10 ** 23 atoms/mole mass of the earth 5.98 x 10 ** 24 kilograms speed of light 3.0 x 10 ** 8 meters/sec very small: charge on an electron -1.60 x 10 ** (-19)scientific notation a way of representing rational numbers using integers (used commonly to represent nonintegers in computers) exponent number = mantissa x base mantissa == fraction == significand base == radix point is really called a radix point, for a number with a decimal base, its called a decimal point. all the constants given above are in scientific notationnormalization to keep a unique form for every representable noninteger, they are kept in NORMALIZED form. A normalized number will follow the following rule: 1 2.64 --> 2.6 or 2.6 +- .05 a calculator will most likely give an answer of 2.640000000, which implies an accuracy much higher than possible. The result given is just the highest precision that the calculator has. It has no knowledge of accuracy -- only precision. BINARY FRACTIONS---------------- f f . . . f f f . f f f . . . n-1 n-2 2 1 0 -1 -2 -3 | | binary point The decimal value is calculated in the same way as for non-fractional numbers, the exponents are now negative. example: 1011 (binary) 1 x 2**2 + 1 x 2**0 + 1 x 2**-3 4 + 1 + 1/8 5 1/8 = 5.125 (decimal) 2**-1 = .5 2**-2 = .25 2**-3 = .125 2**-4 = .0625 etc.converting decimal to binary fractions Consider left and right of the decimal point separately. The stuff to the left can be converted to binary as before. Use the following algorithm to convert the fraction: fraction fraction x 2 digit right of point .8 1.6 1