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:
0.4616 = 0. 4 6 = 0(=0000). 4(=0100) 6(=0110) = .01000112
answer: 0.4616 = .01000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙160+4∙16-1+6∙16-2 = 0∙1+4∙0.0625+6∙0.00390625 = 0+0.25+0.0234375 = 0.273437510
got It: 0.4616 =0.273437510
Translate the number 0.273437510 в binary like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 2734375*2 |
0 | .54688*2 |
1 | .09375*2 |
0 | .1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
0.273437510 = 0.01000112
answer: 0.4616 = 0.01000112