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:
0001.101110102 = 0001. 1011 1010 = 0001(=1). 1011(=B) 1010(=A) = 1.BA16
answer: 0001.101110102 = 1.BA16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+0∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8 = 0∙8+0∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 0+0+0+1+0.5+0+0.125+0.0625+0.03125+0+0.0078125+0 = 1.726562510
got It: 0001.101110102 =1.726562510
Translate the number 1.726562510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 7265625*16 |
B | .625*16 |
A | .0*16 |
the result of the conversion was:
1.726562510 = 1.BA16
answer: 0001.101110102 = 1.BA16