Transfer 111111101011.001000000100 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:

7∙83+7∙82+5∙81+3∙80+1∙8-1+0∙8-2+0∙8-3+4∙8-4 = 7∙512+7∙64+5∙8+3∙1+1∙0.125+0∙0.015625+0∙0.001953125+4∙0.000244140625 = 3584+448+40+3+0.125+0+0+0.0009765625 = 4075.125976562510

got It: 7753.10048 =4075.125976562510

Translate the number 4075.125976562510 в hexadecimal like this:

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

407516
-406425416
B-240F
E
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
0.1259765625*16
2.01563*16
0.25*16
4.0*16

the result of the conversion was:

4075.125976562510 = FEB.20416
the Final answer: 7753.10048 = FEB.20416

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

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

7753.10048 = 7 7 5 3. 1 0 0 4 = 7(=111) 7(=111) 5(=101) 3(=011). 1(=001) 0(=000) 0(=000) 4(=100) = 111111101011.0010000001002

the Final answer: 7753.10048 = 111111101011.00100000012

Fill in the number with missing zeros on the right

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

111111101011.0010000001002 = 1111 1110 1011. 0010 0000 0100 = 1111(=F) 1110(=E) 1011(=B). 0010(=2) 0000(=0) 0100(=4) = FEB.20416

the Final answer: 111111101011.0010000001008 = FEB.20416

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