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:
000111001001.011101002 = 0001 1100 1001. 0111 0100 = 0001(=1) 1100(=C) 1001(=9). 0111(=7) 0100(=4) = 1C9.7416
answer: 000111001001.011101002 = 1C9.7416
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+1∙27+1∙26+0∙25+0∙24+1∙23+0∙22+0∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+0∙512+1∙256+1∙128+1∙64+0∙32+0∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+256+128+64+0+0+8+0+0+1+0+0.25+0.125+0.0625+0+0.015625+0+0 = 457.45312510
got It: 000111001001.011101002 =457.45312510
Translate the number 457.45312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
| 457 | 16 | | |
| -448 | 28 | 16 | |
| 9 | -16 | 1 | |
| C | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 453125*16 |
| 7 | .25*16 |
| 4 | .0*16 |
the result of the conversion was:
457.45312510 = 1C9.7416
answer: 000111001001.011101002 = 1C9.7416