Transfer 19.25 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:

19.2516 = 1 9. 2 5 = 1(=0001) 9(=1001). 2(=0010) 5(=0101) = 11001.001001012

the Final answer: 19.2516 = 11001.001001012

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

let\'s translate to decimal like this:

1∙161+9∙160+2∙16-1+5∙16-2 = 1∙16+9∙1+2∙0.0625+5∙0.00390625 = 16+9+0.125+0.01953125 = 25.1445312510

got It: 19.2516 =25.1445312510

Translate the number 25.1445312510 в binary like this:

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

252
-24122
1-1262
0-632
0-21
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
0.14453125*2
0.28906*2
0.57813*2
1.15625*2
0.3125*2
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

25.1445312510 = 11001.001001012
the Final answer: 19.2516 = 11001.001001012
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