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:
1010.0100000101002 = 1010. 0100 0001 0100 = 1010(=A). 0100(=4) 0001(=1) 0100(=4) = A.41416
the Final answer: 1010.0100000101002 = A.41416
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+1∙2-2+0∙2-3+0∙2-4+0∙2-5+0∙2-6+0∙2-7+1∙2-8+0∙2-9+1∙2-10+0∙2-11+0∙2-12 = 1∙8+0∙4+1∙2+0∙1+0∙0.5+1∙0.25+0∙0.125+0∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+1∙0.00390625+0∙0.001953125+1∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 8+0+2+0+0+0.25+0+0+0+0+0+0.00390625+0+0.0009765625+0+0 = 10.254882812510
got It: 1010.0100000101002 =10.254882812510
Translate the number 10.254882812510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 2548828125*16 |
4 | .07813*16 |
1 | .25*16 |
4 | .0*16 |
the result of the conversion was:
10.254882812510 = A.41416
the Final answer: 1010.0100000101002 = A.41416