hex to octal 6 Use octal digits as hexadecimal ones and then just add the numbers you got with weights of 8n 8 n working in hexadecimal For example consider a 3478 a 347 8 To get a hexadecimal representation without resorting to binary or decimal you can use the fact that 8
Octal base 8 and hexadecimal base 16 numbers are a reasonable compromise between the binary base 2 system computers use and decimal base 10 system most humans use Computers aren t good at multiple symbols thus base 2 where you only have 2 symbols is suitable for them while longer strings numbers with more digits are less of a problem On the other hand 16 1 2 4 8 1 2 3 and 16 3 8 4 so that conversion between any two of binary octal hexadecimal is fairly easy In fact as we are dealing with bytes I should rather say that 16 2 256 1 8 8 256 3 2 8 256 1 imply that conversion from bytes base 256 to hex octal binary and back is fairly easy
hex to octal
hex to octal
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Program To Convert Hexadecimal To Octal GeeksforGeeks
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Hexa To Octal Problem EduPointBD
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The reason this works is because 8 8 is a power of 2 2 In particular 8 23 8 2 3 which is why we split into blocks of 3 3 Each block of 3 3 in binary corresponds to a unique number in octal and vice versa Say I have a binary number x anan 1 a2a1a0 a 1a 2 a m x a n a n 1 a 2 a 1 a 0 a 1 a 2 a m The number 32768 has a binary representation 1000 0000 0000 0000 and a hex representation 8000 The point of one s complement is that because the string 1000 0000 0000 0000 has a 1 at its first coordinate it does not mean the positive integer but the negative integer whose binary representation is 111 1111 1111 1111
One strategy is to just convert to decimal and back but a much better strategy is to remember that in hexadecimal each digit corresponds to four binary digits 2 4 16 and in octal each digit is three bits 2 3 8 rm FD56 52A 16 1111 1101 0101 0110 0101 0010 1010 2 Then we regroup to three digits and pad with zeros Replace each octal digit with a string of three bits with leading zeroes if necessary representing its binary value Then regroup them in groups of four starting from the right and write the hex value of each such group
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Negative decimal to other base conversion I m trying to learn on how to convert a negative decimal number with fraction to binary octal and hexadecimal So base 10 89 3125 Here is what I did to convert this to binary 89 1011001 positive 0100110 invert 1 add one 0100111 I then represent the number in paper as 1 0100111 A very similar thing happens from binary to octal because eight is an exact power of two So we could write the binary numeral 1101000111010 1101000111010 as an octal numeral in the form 1 101 000 111 010 1 101 000 111 010 where each grouping of three bits takes up one octal place However because we only need eight symbols for octal
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Methods Of Converting A Number From Hexadecimal To Octal With Example
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