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:
00101101.101010002 = 0010 1101. 1010 1000 = 0010(=2) 1101(=D). 1010(=A) 1000(=8) = 2D.A816
answer: 00101101.101010002 = 2D.A816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+1∙25+0∙24+1∙23+1∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+1∙32+0∙16+1∙8+1∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+32+0+8+4+0+1+0.5+0+0.125+0+0.03125+0+0+0 = 45.6562510
got It: 00101101.101010002 =45.6562510
Translate the number 45.6562510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
45 | 16 | |
-32 | 2 | |
D | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 65625*16 |
A | .5*16 |
8 | .0*16 |
the result of the conversion was:
45.6562510 = 2D.A816
answer: 00101101.101010002 = 2D.A816