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:
4316 = 4 3 = 4(=0100) 3(=0011) = 10000112
answer: 4316 = 10000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙161+3∙160 = 4∙16+3∙1 = 64+3 = 6710
got It: 4316 =6710
Translate the number 6710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
67 | 2 | | | | | | |
-66 | 33 | 2 | | | | | |
1 | -32 | 16 | 2 | | | | |
| 1 | -16 | 8 | 2 | | | |
| | 0 | -8 | 4 | 2 | | |
| | | 0 | -4 | 2 | 2 | |
| | | | 0 | -2 | 1 | |
| | | | | 0 | | |
|
the result of the conversion was:
6710 = 10000112
answer: 4316 = 10000112