This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
000101110010.00102 = 0001 0111 0010. 0010 = 0001(=1) 0111(=7) 0010(=2). 0010(=2) = 172.216
answer: 000101110010.00102 = 172.216
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+1∙26+1∙25+1∙24+0∙23+0∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 0+0+0+256+0+64+32+16+0+0+2+0+0+0+0.125+0 = 370.12510
got It: 000101110010.00102 =370.12510
Translate the number 370.12510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
370 | 16 | | |
-368 | 23 | 16 | |
2 | -16 | 1 | |
| 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*16 |
2 | .0*16 |
the result of the conversion was:
370.12510 = 172.216
answer: 000101110010.00102 = 172.216