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:
301.1216 = 3 0 1. 1 2 = 3(=0011) 0(=0000) 1(=0001). 1(=0001) 2(=0010) = 1100000001.00010012
the Final answer: 301.1216 = 1100000001.00010012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙162+0∙161+1∙160+1∙16-1+2∙16-2 = 3∙256+0∙16+1∙1+1∙0.0625+2∙0.00390625 = 768+0+1+0.0625+0.0078125 = 769.070312510
got It: 301.1216 =769.070312510
Translate the number 769.070312510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
769 | 2 | | | | | | | | | |
-768 | 384 | 2 | | | | | | | | |
1 | -384 | 192 | 2 | | | | | | | |
| 0 | -192 | 96 | 2 | | | | | | |
| | 0 | -96 | 48 | 2 | | | | | |
| | | 0 | -48 | 24 | 2 | | | | |
| | | | 0 | -24 | 12 | 2 | | | |
| | | | | 0 | -12 | 6 | 2 | | |
| | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | 0 | -2 | 1 | |
| | | | | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 0703125*2 |
0 | .14063*2 |
0 | .28125*2 |
0 | .5625*2 |
1 | .125*2 |
0 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
769.070312510 = 1100000001.00010012
the Final answer: 301.1216 = 1100000001.00010012