This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s translate to decimal like this:
0∙80+3∙8-1+7∙8-2+6∙8-3 = 0∙1+3∙0.125+7∙0.015625+6∙0.001953125 = 0+0.375+0.109375+0.01171875 = 0.4960937510
got It: 0.3768 =0.4960937510
Translate the number 0.4960937510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 49609375*16 |
7 | .9375*16 |
F | .0*16 |
the result of the conversion was:
0.4960937510 = 0.7F16
the Final answer: 0.3768 = 0.7F16
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
0.3768 = 0. 3 7 6 = 0(=000). 3(=011) 7(=111) 6(=110) = 000.0111111102
the Final answer: 0.3768 = .011111112
let\'s do a direct translation from binary to hexadecimal like this:
.011111112 = . 0111 1111 = . 0111(=7) 1111(=F) = .7F16
the Final answer: .011111118 = .7F16