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:
10111101.0001101110002 = 1011 1101. 0001 1011 1000 = 1011(=B) 1101(=D). 0001(=1) 1011(=B) 1000(=8) = BD.1B816
the Final answer: 10111101.0001101110002 = BD.1B816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+0∙26+1∙25+1∙24+1∙23+1∙22+0∙21+1∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+1∙2-7+1∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 1∙128+0∙64+1∙32+1∙16+1∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+1∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 128+0+32+16+8+4+0+1+0+0+0+0.0625+0.03125+0+0.0078125+0.00390625+0.001953125+0+0+0 = 189.10742187510
got It: 10111101.0001101110002 =189.10742187510
Translate the number 189.10742187510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
189 | 16 | |
-176 | B | |
D | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 107421875*16 |
1 | .71875*16 |
B | .5*16 |
8 | .0*16 |
the result of the conversion was:
189.10742187510 = BD.1B816
the Final answer: 10111101.0001101110002 = BD.1B816