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:
000011111001100111112 = 0000 1111 1001 1001 1111 = 0000(=0) 1111(=F) 1001(=9) 1001(=9) 1111(=F) = 0F99F16
answer: 000011111001100111112 = 0F99F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙219+0∙218+0∙217+0∙216+1∙215+1∙214+1∙213+1∙212+1∙211+0∙210+0∙29+1∙28+1∙27+0∙26+0∙25+1∙24+1∙23+1∙22+1∙21+1∙20 = 0∙524288+0∙262144+0∙131072+0∙65536+1∙32768+1∙16384+1∙8192+1∙4096+1∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+0∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+0+0+32768+16384+8192+4096+2048+0+0+256+128+0+0+16+8+4+2+1 = 6390310
got It: 000011111001100111112 =6390310
Translate the number 6390310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
63903 | 16 | | | |
-63888 | 3993 | 16 | | |
F | -3984 | 249 | 16 | |
| 9 | -240 | F | |
| | 9 | | |
|
the result of the conversion was:
6390310 = F99F16
answer: 000011111001100111112 = F99F16