Transfer 133.3 from octal in binary number system

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

first, let\'s make a direct transfer.

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

133.38 = 1 3 3. 3 = 1(=001) 3(=011) 3(=011). 3(=011) = 001011011.0112

the Final answer: 133.38 = 1011011.0112

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

1∙82+3∙81+3∙80+3∙8-1 = 1∙64+3∙8+3∙1+3∙0.125 = 64+24+3+0.375 = 91.37510

got It: 133.38 =91.37510

Translate the number 91.37510 в binary like this:

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

912
-90452
1-44222
1-22112
0-1052
1-422
1-21
0
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
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

91.37510 = 1011011.0112
the Final answer: 133.38 = 1011011.0112
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