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:
11010111.10112 = 1101 0111. 1011 = 1101(=D) 0111(=7). 1011(=B) = D7.B16
answer: 11010111.10112 = D7.B16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+1∙26+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4 = 1∙128+1∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625 = 128+64+0+16+0+4+2+1+0.5+0+0.125+0.0625 = 215.687510
got It: 11010111.10112 =215.687510
Translate the number 215.687510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
215 | 16 | |
-208 | D | |
7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6875*16 |
B | .0*16 |
the result of the conversion was:
215.687510 = D7.B16
answer: 11010111.10112 = D7.B16