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:
11111010110111102 = 1111 1010 1101 1110 = 1111(=F) 1010(=A) 1101(=D) 1110(=E) = FADE16
answer: 11111010110111102 = FADE16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙215+1∙214+1∙213+1∙212+1∙211+0∙210+1∙29+0∙28+1∙27+1∙26+0∙25+1∙24+1∙23+1∙22+1∙21+0∙20 = 1∙32768+1∙16384+1∙8192+1∙4096+1∙2048+0∙1024+1∙512+0∙256+1∙128+1∙64+0∙32+1∙16+1∙8+1∙4+1∙2+0∙1 = 32768+16384+8192+4096+2048+0+512+0+128+64+0+16+8+4+2+0 = 6422210
got It: 11111010110111102 =6422210
Translate the number 6422210 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
64222 | 16 | | | |
-64208 | 4013 | 16 | | |
E | -4000 | 250 | 16 | |
| D | -240 | F | |
| | A | | |
|
the result of the conversion was:
6422210 = FADE16
answer: 11111010110111102 = FADE16