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

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:

 1963 2 -1962 981 2 1 -980 490 2 1 -490 245 2 0 -244 122 2 1 -122 61 2 0 -60 30 2 1 -30 15 2 0 -14 7 2 1 -6 3 2 1 -2 1 1

the Fractional part of the number is multiplied by the base of the new number system:

 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