This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from binary to hexadecimal like this:
00000000000101102 = 0000 0000 0001 0110 = 0000(=0) 0000(=0) 0001(=1) 0110(=6) = 001616
answer: 00000000000101102 = 001616
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙215+0∙214+0∙213+0∙212+0∙211+0∙210+0∙29+0∙28+0∙27+0∙26+0∙25+1∙24+0∙23+1∙22+1∙21+0∙20 = 0∙32768+0∙16384+0∙8192+0∙4096+0∙2048+0∙1024+0∙512+0∙256+0∙128+0∙64+0∙32+1∙16+0∙8+1∙4+1∙2+0∙1 = 0+0+0+0+0+0+0+0+0+0+0+16+0+4+2+0 = 2210
got It: 00000000000101102 =2210
Translate the number 2210 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
22 | 16 | |
-16 | 1 | |
6 | | |
|
the result of the conversion was:
2210 = 1616
answer: 00000000000101102 = 1616