This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from binary to hexadecimal like this:
111111002 = 1111 1100 = 1111(=F) 1100(=C) = FC16
answer: 111111002 = FC16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+1∙26+1∙25+1∙24+1∙23+1∙22+0∙21+0∙20 = 1∙128+1∙64+1∙32+1∙16+1∙8+1∙4+0∙2+0∙1 = 128+64+32+16+8+4+0+0 = 25210
got It: 111111002 =25210
Translate the number 25210 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
252 | 16 | |
-240 | F | |
C | | |
|
the result of the conversion was:
25210 = FC16
answer: 111111002 = FC16