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
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
000101010111.100110002 = 0001 0101 0111. 1001 1000 = 0001(=1) 0101(=5) 0111(=7). 1001(=9) 1000(=8) = 157.9816
answer: 000101010111.100110002 = 157.9816
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+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20+1∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+1∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+256+0+64+0+16+0+4+2+1+0.5+0+0+0.0625+0.03125+0+0+0 = 343.5937510
got It: 000101010111.100110002 =343.5937510
Translate the number 343.5937510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
343 | 16 | | |
-336 | 21 | 16 | |
7 | -16 | 1 | |
| 5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 59375*16 |
9 | .5*16 |
8 | .0*16 |
the result of the conversion was:
343.5937510 = 157.9816
answer: 000101010111.100110002 = 157.9816