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:
000101110001.01012 = 0001 0111 0001. 0101 = 0001(=1) 0111(=7) 0001(=1). 0101(=5) = 171.516
the Final answer: 000101110001.01012 = 171.516
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+1∙26+1∙25+1∙24+0∙23+0∙22+0∙21+1∙20+0∙2-1+1∙2-2+0∙2-3+1∙2-4 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+0∙2+1∙1+0∙0.5+1∙0.25+0∙0.125+1∙0.0625 = 0+0+0+256+0+64+32+16+0+0+0+1+0+0.25+0+0.0625 = 369.312510
got It: 000101110001.01012 =369.312510
Translate the number 369.312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
369 | 16 | | |
-368 | 23 | 16 | |
1 | -16 | 1 | |
| 7 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 3125*16 |
5 | .0*16 |
the result of the conversion was:
369.312510 = 171.516
the Final answer: 000101110001.01012 = 171.516