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:
00011010.111101002 = 0001 1010. 1111 0100 = 0001(=1) 1010(=A). 1111(=F) 0100(=4) = 1A.F416
answer: 00011010.111101002 = 1A.F416
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+0∙25+1∙24+1∙23+0∙22+1∙21+0∙20+1∙2-1+1∙2-2+1∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+0∙32+1∙16+1∙8+0∙4+1∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+16+8+0+2+0+0.5+0.25+0.125+0.0625+0+0.015625+0+0 = 26.95312510
got It: 00011010.111101002 =26.95312510
Translate the number 26.95312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
26 | 16 | |
-16 | 1 | |
A | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 953125*16 |
F | .25*16 |
4 | .0*16 |
the result of the conversion was:
26.95312510 = 1A.F416
answer: 00011010.111101002 = 1A.F416