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:
001111112 = 0011 1111 = 0011(=3) 1111(=F) = 3F16
the Final answer: 001111112 = 3F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+1∙25+1∙24+1∙23+1∙22+1∙21+1∙20 = 0∙128+0∙64+1∙32+1∙16+1∙8+1∙4+1∙2+1∙1 = 0+0+32+16+8+4+2+1 = 6310
got It: 001111112 =6310
Translate the number 6310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
63 | 16 | |
-48 | 3 | |
F | | |
|
the result of the conversion was:
6310 = 3F16
the Final answer: 001111112 = 3F16