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:
00101101001011102 = 0010 1101 0010 1110 = 0010(=2) 1101(=D) 0010(=2) 1110(=E) = 2D2E16
the Final answer: 00101101001011102 = 2D2E16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+0∙214+1∙213+0∙212+1∙211+1∙210+0∙29+1∙28+0∙27+0∙26+1∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 0∙32768+0∙16384+1∙8192+0∙4096+1∙2048+1∙1024+0∙512+1∙256+0∙128+0∙64+1∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 0+0+8192+0+2048+1024+0+256+0+0+32+0+8+4+2+0 = 1156610
got It: 00101101001011102 =1156610
Translate the number 1156610 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
11566 | 16 | | | |
-11552 | 722 | 16 | | |
E | -720 | 45 | 16 | |
| 2 | -32 | 2 | |
| | D | | |
|
the result of the conversion was:
1156610 = 2D2E16
the Final answer: 00101101001011102 = 2D2E16