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 right
let\'s do a direct translation from binary to hexadecimal like this:
1010.0001100110002 = 1010. 0001 1001 1000 = 1010(=A). 0001(=1) 1001(=9) 1000(=8) = A.19816
the Final answer: 1010.0001100110002 = A.19816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙23+0∙22+1∙21+0∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+1∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 1∙8+0∙4+1∙2+0∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+1∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 8+0+2+0+0+0+0+0.0625+0.03125+0+0+0.00390625+0.001953125+0+0+0 = 10.09960937510
got It: 1010.0001100110002 =10.09960937510
Translate the number 10.09960937510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 099609375*16 |
1 | .59375*16 |
9 | .5*16 |
8 | .0*16 |
the result of the conversion was:
10.09960937510 = A.19816
the Final answer: 1010.0001100110002 = A.19816