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:
8316 = 8 3 = 8(=1000) 3(=0011) = 100000112
answer: 8316 = 100000112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
8∙161+3∙160 = 8∙16+3∙1 = 128+3 = 13110
got It: 8316 =13110
Translate the number 13110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
131 | 2 | | | | | | | |
-130 | 65 | 2 | | | | | | |
1 | -64 | 32 | 2 | | | | | |
| 1 | -32 | 16 | 2 | | | | |
| | 0 | -16 | 8 | 2 | | | |
| | | 0 | -8 | 4 | 2 | | |
| | | | 0 | -4 | 2 | 2 | |
| | | | | 0 | -2 | 1 | |
| | | | | | 0 | | |
|
the result of the conversion was:
13110 = 100000112
answer: 8316 = 100000112