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:
2A416 = 2 A 4 = 2(=0010) A(=1010) 4(=0100) = 10101001002
the Final answer: 2A416 = 10101001002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+10∙161+4∙160 = 2∙256+10∙16+4∙1 = 512+160+4 = 67610
got It: 2A416 =67610
Translate the number 67610 в binary like this:
the Integer part of the number is divided by the base of the new number system:
676 | 2 | | | | | | | | | |
-676 | 338 | 2 | | | | | | | | |
0 | -338 | 169 | 2 | | | | | | | |
| 0 | -168 | 84 | 2 | | | | | | |
| | 1 | -84 | 42 | 2 | | | | | |
| | | 0 | -42 | 21 | 2 | | | | |
| | | | 0 | -20 | 10 | 2 | | | |
| | | | | 1 | -10 | 5 | 2 | | |
| | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
67610 = 10101001002
the Final answer: 2A416 = 10101001002