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:
4716 = 4 7 = 4(=0100) 7(=0111) = 10001112
answer: 4716 = 10001112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙161+7∙160 = 4∙16+7∙1 = 64+7 = 7110
got It: 4716 =7110
Translate the number 7110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
71 | 2 | | | | | | |
-70 | 35 | 2 | | | | | |
1 | -34 | 17 | 2 | | | | |
| 1 | -16 | 8 | 2 | | | |
| | 1 | -8 | 4 | 2 | | |
| | | 0 | -4 | 2 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 0 | | |
|
the result of the conversion was:
7110 = 10001112
answer: 4716 = 10001112