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:
14316 = 1 4 3 = 1(=0001) 4(=0100) 3(=0011) = 1010000112
answer: 14316 = 1010000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙162+4∙161+3∙160 = 1∙256+4∙16+3∙1 = 256+64+3 = 32310
got It: 14316 =32310
Translate the number 32310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
323 | 2 | | | | | | | | |
-322 | 161 | 2 | | | | | | | |
1 | -160 | 80 | 2 | | | | | | |
| 1 | -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:
32310 = 1010000112
answer: 14316 = 1010000112