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:
0011111010012 = 0011 1110 1001 = 0011(=3) 1110(=E) 1001(=9) = 3E916
answer: 0011111010012 = 3E916
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+1∙28+1∙27+1∙26+1∙25+0∙24+1∙23+0∙22+0∙21+1∙20 = 0∙2048+0∙1024+1∙512+1∙256+1∙128+1∙64+1∙32+0∙16+1∙8+0∙4+0∙2+1∙1 = 0+0+512+256+128+64+32+0+8+0+0+1 = 100110
got It: 0011111010012 =100110
Translate the number 100110 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1001 | 16 | | |
-992 | 62 | 16 | |
9 | -48 | 3 | |
| E | | |
|
the result of the conversion was:
100110 = 3E916
answer: 0011111010012 = 3E916