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 binary to hexadecimal like this:
0110110110112 = 0110 1101 1011 = 0110(=6) 1101(=D) 1011(=B) = 6DB16
answer: 0110110110112 = 6DB16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+1∙210+1∙29+0∙28+1∙27+1∙26+0∙25+1∙24+1∙23+0∙22+1∙21+1∙20 = 0∙2048+1∙1024+1∙512+0∙256+1∙128+1∙64+0∙32+1∙16+1∙8+0∙4+1∙2+1∙1 = 0+1024+512+0+128+64+0+16+8+0+2+1 = 175510
got It: 0110110110112 =175510
Translate the number 175510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1755 | 16 | | |
-1744 | 109 | 16 | |
B | -96 | 6 | |
| D | | |
|
the result of the conversion was:
175510 = 6DB16
answer: 0110110110112 = 6DB16