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
let\'s do a direct translation from binary to hexadecimal like this:
0101010101112 = 0101 0101 0111 = 0101(=5) 0101(=5) 0111(=7) = 55716
answer: 0101010101112 = 55716
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+1∙210+0∙29+1∙28+0∙27+1∙26+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20 = 0∙2048+1∙1024+0∙512+1∙256+0∙128+1∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1 = 0+1024+0+256+0+64+0+16+0+4+2+1 = 136710
got It: 0101010101112 =136710
Translate the number 136710 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1367 | 16 | | |
-1360 | 85 | 16 | |
7 | -80 | 5 | |
| 5 | | |
|
the result of the conversion was:
136710 = 55716
answer: 0101010101112 = 55716