Transfer 10101011.0100 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∙82+5∙81+3∙80+2∙8-1 = 2∙64+5∙8+3∙1+2∙0.125 = 128+40+3+0.25 = 171.2510

got It: 253.28 =171.2510

Translate the number 171.2510 в hexadecimal like this:

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

17116
-160A
B
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
0.25*16
4.0*16

the result of the conversion was:

171.2510 = AB.416
the Final answer: 253.28 = AB.416

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

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

253.28 = 2 5 3. 2 = 2(=010) 5(=101) 3(=011). 2(=010) = 010101011.0102

the Final answer: 253.28 = 10101011.012

Fill in the number with missing zeros on the right

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

10101011.01002 = 1010 1011. 0100 = 1010(=A) 1011(=B). 0100(=4) = AB.416

the Final answer: 10101011.01008 = AB.416
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