Transfer 100000101111.00011000 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:

4∙83+0∙82+5∙81+7∙80+0∙8-1+6∙8-2 = 4∙512+0∙64+5∙8+7∙1+0∙0.125+6∙0.015625 = 2048+0+40+7+0+0.09375 = 2095.0937510

got It: 4057.068 =2095.0937510

Translate the number 2095.0937510 в hexadecimal like this:

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

209516
-208013016
F-1288
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
0.09375*16
1.5*16
8.0*16

the result of the conversion was:

2095.0937510 = 82F.1816
the Final answer: 4057.068 = 82F.1816

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

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

4057.068 = 4 0 5 7. 0 6 = 4(=100) 0(=000) 5(=101) 7(=111). 0(=000) 6(=110) = 100000101111.0001102

the Final answer: 4057.068 = 100000101111.000112

Fill in the number with missing zeros on the right

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

100000101111.000110002 = 1000 0010 1111. 0001 1000 = 1000(=8) 0010(=2) 1111(=F). 0001(=1) 1000(=8) = 82F.1816

the Final answer: 100000101111.000110008 = 82F.1816
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