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:
345616 = 3 4 5 6 = 3(=0011) 4(=0100) 5(=0101) 6(=0110) = 110100010101102
answer: 345616 = 110100010101102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
3∙163+4∙162+5∙161+6∙160 = 3∙4096+4∙256+5∙16+6∙1 = 12288+1024+80+6 = 1339810
got It: 345616 =1339810
Translate the number 1339810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
13398 | 2 | | | | | | | | | | | | | |
-13398 | 6699 | 2 | | | | | | | | | | | | |
0 | -6698 | 3349 | 2 | | | | | | | | | | | |
| 1 | -3348 | 1674 | 2 | | | | | | | | | | |
| | 1 | -1674 | 837 | 2 | | | | | | | | | |
| | | 0 | -836 | 418 | 2 | | | | | | | | |
| | | | 1 | -418 | 209 | 2 | | | | | | | |
| | | | | 0 | -208 | 104 | 2 | | | | | | |
| | | | | | 1 | -104 | 52 | 2 | | | | | |
| | | | | | | 0 | -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:
1339810 = 110100010101102
answer: 345616 = 110100010101102