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:
01110000.000110002 = 0111 0000. 0001 1000 = 0111(=7) 0000(=0). 0001(=1) 1000(=8) = 70.1816
answer: 01110000.000110002 = 70.1816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+1∙25+1∙24+0∙23+0∙22+0∙21+0∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+64+32+16+0+0+0+0+0+0+0+0.0625+0.03125+0+0+0 = 112.0937510
got It: 01110000.000110002 =112.0937510
Translate the number 112.0937510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
112 | 16 | |
-112 | 7 | |
0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 09375*16 |
1 | .5*16 |
8 | .0*16 |
the result of the conversion was:
112.0937510 = 70.1816
answer: 01110000.000110002 = 70.1816