https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=44436

Transfer 7AB.432 from hexadecimal in binary 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 do a direct translation from hexadecimal to binary like this:

7AB.43216 = 7 A B. 4 3 2 = 7(=0111) A(=1010) B(=1011). 4(=0100) 3(=0011) 2(=0010) = 11110101011.010000110012

answer: 7AB.43216 = 11110101011.010000110012

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

let\'s translate to decimal like this:

7∙162+10∙161+11∙160+4∙16-1+3∙16-2+2∙16-3 = 7∙256+10∙16+11∙1+4∙0.0625+3∙0.00390625+2∙0.000244140625 = 1792+160+11+0.25+0.01171875+0.00048828125 = 1963.2622070312510

got It: 7AB.43216 =1963.2622070312510

Translate the number 1963.2622070312510 в binary like this:

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

19632
-19629812
1-9804902
1-4902452
0-2441222
1-122612
0-60302
1-30152
0-1472
1-632
1-21
1
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
0.26220703125*2
0.52441*2
1.04883*2
0.09766*2
0.19531*2
0.39063*2
0.78125*2
1.5625*2
1.125*2
0.25*2
0.5*2

the result of the conversion was:

1963.2622070312510 = 11110101011.01000011002
answer: 7AB.43216 = 11110101011.01000011002