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:
2c216 = 2 c 2 = 2(=0010) c(=1100) 2(=0010) = 10110000102
answer: 2c216 = 10110000102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+12∙161+2∙160 = 2∙256+12∙16+2∙1 = 512+192+2 = 70610
got It: 2c216 =70610
Translate the number 70610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
706 | 2 | | | | | | | | | |
-706 | 353 | 2 | | | | | | | | |
0 | -352 | 176 | 2 | | | | | | | |
| 1 | -176 | 88 | 2 | | | | | | |
| | 0 | -88 | 44 | 2 | | | | | |
| | | 0 | -44 | 22 | 2 | | | | |
| | | | 0 | -22 | 11 | 2 | | | |
| | | | | 0 | -10 | 5 | 2 | | |
| | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
70610 = 10110000102
answer: 2c216 = 10110000102