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:
E3.B216 = E 3. B 2 = E(=1110) 3(=0011). B(=1011) 2(=0010) = 11100011.10110012
answer: E3.B216 = 11100011.10110012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
14∙161+3∙160+11∙16-1+2∙16-2 = 14∙16+3∙1+11∙0.0625+2∙0.00390625 = 224+3+0.6875+0.0078125 = 227.695312510
got It: E3.B216 =227.695312510
Translate the number 227.695312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
227 | 2 | | | | | | | |
-226 | 113 | 2 | | | | | | |
1 | -112 | 56 | 2 | | | | | |
| 1 | -56 | 28 | 2 | | | | |
| | 0 | -28 | 14 | 2 | | | |
| | | 0 | -14 | 7 | 2 | | |
| | | | 0 | -6 | 3 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6953125*2 |
1 | .39063*2 |
0 | .78125*2 |
1 | .5625*2 |
1 | .125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
227.695312510 = 11100011.10110012
answer: E3.B216 = 11100011.10110012