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 hexadecimal to binary like this:
facade16 = f a c a d e = f(=1111) a(=1010) c(=1100) a(=1010) d(=1101) e(=1110) = 1111101011001010110111102
answer: facade16 = 1111101011001010110111102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙165+10∙164+12∙163+10∙162+13∙161+14∙160 = 15∙1048576+10∙65536+12∙4096+10∙256+13∙16+14∙1 = 15728640+655360+49152+2560+208+14 = 1643593410
got It: facade16 =1643593410
Translate the number 1643593410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
16435934 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-16435934 | 8217967 | 2 | | | | | | | | | | | | | | | | | | | | | | |
0 | -8217966 | 4108983 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -4108982 | 2054491 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -2054490 | 1027245 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 1 | -1027244 | 513622 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 1 | -513622 | 256811 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 0 | -256810 | 128405 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 1 | -128404 | 64202 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 1 | -64202 | 32101 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 0 | -32100 | 16050 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 1 | -16050 | 8025 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 0 | -8024 | 4012 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 1 | -4012 | 2006 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 0 | -2006 | 1003 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 0 | -1002 | 501 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 1 | -500 | 250 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 1 | -250 | 125 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 0 | -124 | 62 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 1 | -62 | 31 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 0 | -30 | 15 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
1643593410 = 1111101011001010110111102
answer: facade16 = 1111101011001010110111102