Transfer 010101110111.101010011000 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:

2∙83+5∙82+6∙81+7∙80+5∙8-1+2∙8-2+3∙8-3 = 2∙512+5∙64+6∙8+7∙1+5∙0.125+2∙0.015625+3∙0.001953125 = 1024+320+48+7+0.625+0.03125+0.005859375 = 1399.66210937510

got It: 2567.5238 =1399.66210937510

Translate the number 1399.66210937510 в hexadecimal like this:

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

139916
-13928716
7-805
7
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
0.662109375*16
A.59375*16
9.5*16
8.0*16

the result of the conversion was:

1399.66210937510 = 577.A9816
the Final answer: 2567.5238 = 577.A9816

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

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

2567.5238 = 2 5 6 7. 5 2 3 = 2(=010) 5(=101) 6(=110) 7(=111). 5(=101) 2(=010) 3(=011) = 010101110111.1010100112

the Final answer: 2567.5238 = 10101110111.1010100112

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:

010101110111.1010100110002 = 0101 0111 0111. 1010 1001 1000 = 0101(=5) 0111(=7) 0111(=7). 1010(=A) 1001(=9) 1000(=8) = 577.A9816

the Final answer: 010101110111.1010100110008 = 577.A9816
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