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:
58916 = 5 8 9 = 5(=0101) 8(=1000) 9(=1001) = 101100010012
the Final answer: 58916 = 101100010012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙162+8∙161+9∙160 = 5∙256+8∙16+9∙1 = 1280+128+9 = 141710
got It: 58916 =141710
Translate the number 141710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1417 | 2 | | | | | | | | | | |
-1416 | 708 | 2 | | | | | | | | | |
1 | -708 | 354 | 2 | | | | | | | | |
| 0 | -354 | 177 | 2 | | | | | | | |
| | 0 | -176 | 88 | 2 | | | | | | |
| | | 1 | -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:
141710 = 101100010012
the Final answer: 58916 = 101100010012