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:
00101001101011112 = 0010 1001 1010 1111 = 0010(=2) 1001(=9) 1010(=A) 1111(=F) = 29AF16
answer: 00101001101011112 = 29AF16
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+0∙210+0∙29+1∙28+1∙27+0∙26+1∙25+0∙24+1∙23+1∙22+1∙21+1∙20 = 0∙32768+0∙16384+1∙8192+0∙4096+1∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+8192+0+2048+0+0+256+128+0+32+0+8+4+2+1 = 1067110
got It: 00101001101011112 =1067110
Translate the number 1067110 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
10671 | 16 | | | |
-10656 | 666 | 16 | | |
F | -656 | 41 | 16 | |
| A | -32 | 2 | |
| | 9 | | |
|
the result of the conversion was:
1067110 = 29AF16
answer: 00101001101011112 = 29AF16