Often called a decimal system. The digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9. Decimal system is widely used in everyday life.
Often called a hexdecimal system. The digits in the hexdecimal system are 0,1,2,3,4,5,6,7,8,9 and letters a,b,c,d,e,f. Hexdecimal system is often used in software development to present binary data. All bases. Digit one at the higher position corresponds to the number 3 at the lower position. The pool of digits used in system base 3 ternary system is: Digit one at the higher position corresponds to the number 4 at the lower position.
The pool of digits used in system base 4 quaternary system is: Digit one at the higher position corresponds to the number 5 at the lower position. The pool of digits used in system base 5 quinary system is: Digit one at the higher position corresponds to the number 6 at the lower position. The pool of digits used in system base 6 senary system is: Digit one at the higher position corresponds to the number 7 at the lower position.
The pool of digits used in system base 7 septenary system is: Digit one at the higher position corresponds to the number 9 at the lower position. The pool of digits used in system base 9 nonary system is: Digit one at the higher position corresponds to the number 11 at the lower position. The pool of digits used in system base 11 undecimal system is: a. Digit one at the higher position corresponds to the number 12 at the lower position. The pool of digits used in system base 12 duodecimal system is: ab.
Digit one at the higher position corresponds to the number 13 at the lower position. The pool of digits used in system base 13 tridecimal system is: abc. Digit one at the higher position corresponds to the number 14 at the lower position. The pool of digits used in system base 14 tetradecimal system is: abcd.
Digit one at the higher position corresponds to the number 15 at the lower position. The pool of digits used in system base 15 pentadecimal system is: abcde. Digit one at the higher position corresponds to the number 17 at the lower position. The pool of digits used in system base 17 base system is: abcdefg. Digit one at the higher position corresponds to the number 18 at the lower position.
The pool of digits used in system base 18 octodecimal system is: abcdefgh. Digit one at the higher position corresponds to the number 19 at the lower position. The pool of digits used in system base 19 base system is: abcdefghi. Digit one at the higher position corresponds to the number 20 at the lower position. The pool of digits used in system base 20 vigesimal system is: abcdefghij. Digit one at the higher position corresponds to the number 21 at the lower position.
The pool of digits used in system base 21 base system is: abcdefghijk. Digit one at the higher position corresponds to the number 22 at the lower position. The pool of digits used in system base 22 base system is: abcdefghijkl. Digit one at the higher position corresponds to the number 23 at the lower position. The pool of digits used in system base 23 trivigesimal system is: abcdefghijklm. Active Oldest Votes.
Basically you would convert the 48 bit, 6 byte array in to a long. So, say you want bits 15, 16, 17, In binary, that's: But that's only 48 bits. Since we're working with the 15th bit, we shift it 15 times.
To add them back, you simply shift the, mask again, and add it to your final value. Improve this answer. Will Hartung Will Hartung k 19 19 gold badges silver badges bronze badges. Excellent answer Will Add a comment. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. The Overflow Blog.
Podcast Helping communities build their own LTE networks. Podcast Making Agile work for data science. Featured on Meta. New post summary designs on greatest hits now, everywhere else eventually. Related Hot Network Questions. Question feed. The first number less than or equal to 35 that is a power of 2 is 32 -- that's 2 5. We won't use 16, 8, or 4, but we will use use 2 and 1.
Even though binary is a good radix to use in a computer, as we will see more later, to say the least, it's not very convenient for us - writing all those 1's and 0's gets very tedious, very quickly. Fortunately, we can use another radix for our work, which is convenient for us though not as convenient as decimal!
Notice that in a binary number, a group of four bits this is called a nybble , by the way can represent a value from 0 to Also, notice that if we divide a number into nybbles, the nybbles start at the 16 0 , 16 1 , 16 2 , In other words, nybbles act just like digits in radix 16! That's great - it means we can divide a number up into nybbles, translate each nybble, and have a radix 16 number. More compact to write, easy to translate. The solution is that we need to come up with some more digits.
The convention is to use letters of the alphabet for the numbers from 10 to 15, giving us:. One little thing - remember that hexadecimal is a shorthand we use.
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