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:
50016 = 5 0 0 = 5(=0101) 0(=0000) 0(=0000) = 101000000002
the Final answer: 50016 = 101000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
5∙162+0∙161+0∙160 = 5∙256+0∙16+0∙1 = 1280+0+0 = 128010
got It: 50016 =128010
Translate the number 128010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1280 | 2 | | | | | | | | | | |
-1280 | 640 | 2 | | | | | | | | | |
0 | -640 | 320 | 2 | | | | | | | | |
| 0 | -320 | 160 | 2 | | | | | | | |
| | 0 | -160 | 80 | 2 | | | | | | |
| | | 0 | -80 | 40 | 2 | | | | | |
| | | | 0 | -40 | 20 | 2 | | | | |
| | | | | 0 | -20 | 10 | 2 | | | |
| | | | | | 0 | -10 | 5 | 2 | | |
| | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
128010 = 101000000002
the Final answer: 50016 = 101000000002