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:
0101010111112 = 0101 0101 1111 = 0101(=5) 0101(=5) 1111(=F) = 55F16
answer: 0101010111112 = 55F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+1∙210+0∙29+1∙28+0∙27+1∙26+0∙25+1∙24+1∙23+1∙22+1∙21+1∙20 = 0∙2048+1∙1024+0∙512+1∙256+0∙128+1∙64+0∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+1024+0+256+0+64+0+16+8+4+2+1 = 137510
got It: 0101010111112 =137510
Translate the number 137510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1375 | 16 | | |
-1360 | 85 | 16 | |
F | -80 | 5 | |
| 5 | | |
|
the result of the conversion was:
137510 = 55F16
answer: 0101010111112 = 55F16