Transfer 2A.3D 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:

2∙161+10∙160+3∙16-1+13∙16-2 = 2∙16+10∙1+3∙0.0625+13∙0.00390625 = 32+10+0.1875+0.05078125 = 42.2382812510

got It: 2A.3D16 =42.2382812510

Translate the number 42.2382812510 в octal like this:

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

428
-405
2
Перевод чисел из одной системы счисления в другую

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

 Transferring numbers from one number system to another
0.23828125*8
1.90625*8
7.25*8
2.0*8

the result of the conversion was:

42.2382812510 = 52.1728
the Final answer: 2A.3D16 = 52.1728

Now we will perform a direct translation.

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

2A.3D16 = 2 A. 3 D = 2(=0010) A(=1010). 3(=0011) D(=1101) = 101010.001111012

the Final answer: 2A.3D16 = 101010.001111012

Fill in the number with missing zeros on the right

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

101010.0011110102 = 101 010. 001 111 010 = 101(=5) 010(=2). 001(=1) 111(=7) 010(=2) = 52.1728

the Final answer: 2A.3D16 = 52.1728
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