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:
3416 = 3 4 = 3(=0011) 4(=0100) = 1101002
answer: 3416 = 1101002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙161+4∙160 = 3∙16+4∙1 = 48+4 = 5210
got It: 3416 =5210
Translate the number 5210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
52 | 2 | | | | | |
-52 | 26 | 2 | | | | |
0 | -26 | 13 | 2 | | | |
| 0 | -12 | 6 | 2 | | |
| | 1 | -6 | 3 | 2 | |
| | | 0 | -2 | 1 | |
| | | | 1 | | |
|
the result of the conversion was:
5210 = 1101002
answer: 3416 = 1101002