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written 2.7 years ago by |
a) $(576.24)_{10}$
i) Binary.
a) Integer part.
$\therefore$ $(576)_{10}$
$= (1001000000)_2$
$\therefore$ $(0.24)_{10} = (0.00111)_2$
$\therefore$ $(576.24)_{10} = (1001000000.00111)_2$
ii) Base - 9
a) Integer part.
$\therefore$ $(576)_{10} = (710)_9$
b) Fractional part.
$\therefore$ $(0.24)_{10} = (0.2138)_9$
$\therefore$ $(576.24)_{10} = (710.2138)_9$
iii) Octal
a) Integer part.
$(576)_{10} = (1100)_8$
b) Fractional part.
$\therefore$ $(0.24)_{10} = (0.1727)_8$
$\therefore$ $(576.24)_{10} = (1100.1727)_8$
iv) Hexadecimal.
a) Integer part.
$(576)_{10} = (240)_{16}$
b) Fractional part.
$\therefore$ $(0.24)_{10} = (0.3D70)_{16}$
$\therefore$ $(576.24)_{10} = (240.3D70)_{16}$
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