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:
74316 = 7 4 3 = 7(=0111) 4(=0100) 3(=0011) = 111010000112
answer: 74316 = 111010000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙162+4∙161+3∙160 = 7∙256+4∙16+3∙1 = 1792+64+3 = 185910
got It: 74316 =185910
Translate the number 185910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1859 | 2 | | | | | | | | | | |
-1858 | 929 | 2 | | | | | | | | | |
1 | -928 | 464 | 2 | | | | | | | | |
| 1 | -464 | 232 | 2 | | | | | | | |
| | 0 | -232 | 116 | 2 | | | | | | |
| | | 0 | -116 | 58 | 2 | | | | | |
| | | | 0 | -58 | 29 | 2 | | | | |
| | | | | 0 | -28 | 14 | 2 | | | |
| | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
185910 = 111010000112
answer: 74316 = 111010000112