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:
00110111101011102 = 0011 0111 1010 1110 = 0011(=3) 0111(=7) 1010(=A) 1110(=E) = 37AE16
answer: 00110111101011102 = 37AE16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+0∙214+1∙213+1∙212+0∙211+1∙210+1∙29+1∙28+1∙27+0∙26+1∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 0∙32768+0∙16384+1∙8192+1∙4096+0∙2048+1∙1024+1∙512+1∙256+1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 0+0+8192+4096+0+1024+512+256+128+0+32+0+8+4+2+0 = 1425410
got It: 00110111101011102 =1425410
Translate the number 1425410 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
14254 | 16 | | | |
-14240 | 890 | 16 | | |
E | -880 | 55 | 16 | |
| A | -48 | 3 | |
| | 7 | | |
|
the result of the conversion was:
1425410 = 37AE16
answer: 00110111101011102 = 37AE16