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:
5.0.0.6416 = 5. 0 . 0 . 6 4 = 5(=0101). 0(=0000) .(=0000) 0(=0000) .(=0000) 6(=0110) 4(=0100) = 101.00000000000000000110012
answer: 5.0.0.6416 = 101.00000000000000000110012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙160+0∙16-1+.∙16-2+0∙16-3+.∙16-4+6∙16-5+4∙16-6 = 5∙1+0∙0.0625+.∙0.00390625+0∙0.000244140625+.∙1.52587890625E-5+6∙9.5367431640625E-7+4∙5.9604644775391E-8 = 5+0+0+0+0+5.7220458984375E-6+2.3841857910156E-7 = 5.5.9604644775391E-610
got It: 5.0.0.6416 =5.5.9604644775391E-610
Translate the number 5.5.9604644775391E-610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
5 | 2 | | |
-4 | 2 | 2 | |
1 | -2 | 1 | |
| 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5.9604644775391E-6*2 |
1 | .0*2 |
the result of the conversion was:
5.5.9604644775391E-610 = 101.12
answer: 5.0.0.6416 = 101.12