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:
001011011110.1100101001102 = 0010 1101 1110. 1100 1010 0110 = 0010(=2) 1101(=D) 1110(=E). 1100(=C) 1010(=A) 0110(=6) = 2DE.CA616
answer: 001011011110.1100101001102 = 2DE.CA616
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+1∙27+1∙26+0∙25+1∙24+1∙23+1∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8+0∙2-9+1∙2-10+1∙2-11+0∙2-12 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+1∙64+0∙32+1∙16+1∙8+1∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625+0∙0.001953125+1∙0.0009765625+1∙0.00048828125+0∙0.000244140625 = 0+0+512+0+128+64+0+16+8+4+2+0+0.5+0.25+0+0+0.03125+0+0.0078125+0+0+0.0009765625+0.00048828125+0 = 734.7905273437510
got It: 001011011110.1100101001102 =734.7905273437510
Translate the number 734.7905273437510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
734 | 16 | | |
-720 | 45 | 16 | |
E | -32 | 2 | |
| D | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 79052734375*16 |
C | .64844*16 |
A | .375*16 |
6 | .0*16 |
the result of the conversion was:
734.7905273437510 = 2DE.CA616
answer: 001011011110.1100101001102 = 2DE.CA616