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written 9 months 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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