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:
19216 = 1 9 2 = 1(=0001) 9(=1001) 2(=0010) = 1100100102
answer: 19216 = 1100100102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙162+9∙161+2∙160 = 1∙256+9∙16+2∙1 = 256+144+2 = 40210
got It: 19216 =40210
Translate the number 40210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
402 | 2 | | | | | | | | |
-402 | 201 | 2 | | | | | | | |
0 | -200 | 100 | 2 | | | | | | |
| 1 | -100 | 50 | 2 | | | | | |
| | 0 | -50 | 25 | 2 | | | | |
| | | 0 | -24 | 12 | 2 | | | |
| | | | 1 | -12 | 6 | 2 | | |
| | | | | 0 | -6 | 3 | 2 | |
| | | | | | 0 | -2 | 1 | |
| | | | | | | 1 | | |
|
the result of the conversion was:
40210 = 1100100102
answer: 19216 = 1100100102