Transfer 01101111.11011100 from octal in hexadecimal 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 translate to decimal like this:

1∙82+5∙81+7∙80+6∙8-1+7∙8-2 = 1∙64+5∙8+7∙1+6∙0.125+7∙0.015625 = 64+40+7+0.75+0.109375 = 111.85937510

got It: 157.678 =111.85937510

Translate the number 111.85937510 в hexadecimal like this:

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

11116
-966
F
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
0.859375*16
D.75*16
C.0*16

the result of the conversion was:

111.85937510 = 6F.DC16
the Final answer: 157.678 = 6F.DC16

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

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

157.678 = 1 5 7. 6 7 = 1(=001) 5(=101) 7(=111). 6(=110) 7(=111) = 001101111.1101112

the Final answer: 157.678 = 1101111.1101112

Fill in the number with missing zeros on the left

Fill in the number with missing zeros on the right

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

01101111.110111002 = 0110 1111. 1101 1100 = 0110(=6) 1111(=F). 1101(=D) 1100(=C) = 6F.DC16

the Final answer: 01101111.110111008 = 6F.DC16
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