0
815views
Binary integer part.
1 Answer
0
1views

a) $(576.24)_{10}$

i) Binary.

a) Integer part.

enter image description here

$\therefore$ $(576)_{10}$

$= (1001000000)_2$

enter image description here

$\therefore$ $(0.24)_{10} = (0.00111)_2$

$\therefore$ $(576.24)_{10} = (1001000000.00111)_2$

ii) Base - 9

a) Integer part.

enter image description here

$\therefore$ $(576)_{10} = (710)_9$

b) Fractional part.

enter image description here

$\therefore$ $(0.24)_{10} = (0.2138)_9$

$\therefore$ $(576.24)_{10} = (710.2138)_9$

iii) Octal

a) Integer part.

enter image description here

$(576)_{10} = (1100)_8$

b) Fractional part.

enter image description here

$\therefore$ $(0.24)_{10} = (0.1727)_8$

$\therefore$ $(576.24)_{10} = (1100.1727)_8$

iv) Hexadecimal.

enter image description here

a) Integer part.

$(576)_{10} = (240)_{16}$

b) Fractional part.

enter image description here

$\therefore$ $(0.24)_{10} = (0.3D70)_{16}$

$\therefore$ $(576.24)_{10} = (240.3D70)_{16}$

Please log in to add an answer.