This transfer is possible in two ways: direct transfer and using the decimal system.
First we will perform the translation through the decimal system
let\'s translate to decimal like this:
15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 15∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 15728640+983040+61440+3840+240+15 = 1677721510
got It: ffffff16 =1677721510
Translate the number 1677721510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
16777215 | 8 | | | | | | | |
-16777208 | 2097151 | 8 | | | | | | |
7 | -2097144 | 262143 | 8 | | | | | |
| 7 | -262136 | 32767 | 8 | | | | |
| | 7 | -32760 | 4095 | 8 | | | |
| | | 7 | -4088 | 511 | 8 | | |
| | | | 7 | -504 | 63 | 8 | |
| | | | | 7 | -56 | 7 | |
| | | | | | 7 | | |
|
the result of the conversion was:
1677721510 = 777777778
answer: ffffff16 = 777777778
Now we will perform a direct translation.
let\'s do a direct translation from hexadecimal to binary like this:
ffffff16 = f f f f f f = f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) = 1111111111111111111111112
answer: ffffff16 = 1111111111111111111111112
let\'s make a direct translation from binary to post-binary like this:
1111111111111111111111112 = 111 111 111 111 111 111 111 111 = 111(=7) 111(=7) 111(=7) 111(=7) 111(=7) 111(=7) 111(=7) 111(=7) = 777777778
answer: ffffff16 = 777777778