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:
0010011101012 = 0010 0111 0101 = 0010(=2) 0111(=7) 0101(=5) = 27516
answer: 0010011101012 = 27516
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+0∙27+1∙26+1∙25+1∙24+0∙23+1∙22+0∙21+1∙20 = 0∙2048+0∙1024+1∙512+0∙256+0∙128+1∙64+1∙32+1∙16+0∙8+1∙4+0∙2+1∙1 = 0+0+512+0+0+64+32+16+0+4+0+1 = 62910
got It: 0010011101012 =62910
Translate the number 62910 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
629 | 16 | | |
-624 | 39 | 16 | |
5 | -32 | 2 | |
| 7 | | |
|
the result of the conversion was:
62910 = 27516
answer: 0010011101012 = 27516