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:
0110101010102 = 0110 1010 1010 = 0110(=6) 1010(=A) 1010(=A) = 6AA16
answer: 0110101010102 = 6AA16
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+0∙26+1∙25+0∙24+1∙23+0∙22+1∙21+0∙20 = 0∙2048+1∙1024+1∙512+0∙256+1∙128+0∙64+1∙32+0∙16+1∙8+0∙4+1∙2+0∙1 = 0+1024+512+0+128+0+32+0+8+0+2+0 = 170610
got It: 0110101010102 =170610
Translate the number 170610 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1706 | 16 | | |
-1696 | 106 | 16 | |
A | -96 | 6 | |
| A | | |
|
the result of the conversion was:
170610 = 6AA16
answer: 0110101010102 = 6AA16