Transfer 1D6.CAD from hexadecimal in octal number system

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This transfer is possible in two ways: direct transfer and using the decimal system.

First we will perform the translation through the decimal system

let\'s translate to decimal like this:

1∙162+13∙161+6∙160+12∙16-1+10∙16-2+13∙16-3 = 1∙256+13∙16+6∙1+12∙0.0625+10∙0.00390625+13∙0.000244140625 = 256+208+6+0.75+0.0390625+0.003173828125 = 470.79223632812510

got It: 1D6.CAD16 =470.79223632812510

Translate the number 470.79223632812510 в octal like this:

the Integer part of the number is divided by the base of the new number system:

 470 8 -464 58 8 6 -56 7 2

the Fractional part of the number is multiplied by the base of the new number system:

 0. 792236328125*8 6 .33789*8 2 .70313*8 5 .625*8 5 .0*8

the result of the conversion was:

470.79223632812510 = 726.62558

Now we will perform a direct translation.

let\'s do a direct translation from hexadecimal to binary like this:

1D6.CAD16 = 1 D 6. C A D = 1(=0001) D(=1101) 6(=0110). C(=1100) A(=1010) D(=1101) = 111010110.1100101011012

let\'s make a direct translation from binary to post-binary like this:

111010110.1100101011012 = 111 010 110. 110 010 101 101 = 111(=7) 010(=2) 110(=6). 110(=6) 010(=2) 101(=5) 101(=5) = 726.62558