Convert the following base $10$ numbers to base $2,$ Show your working out $(0\mathrm{.}5$ mark each$).$

i$)23$

ii$)270$

$2)$ Convert the following $2$s compliment binary number to signed base $10$: $00111010(0\mathrm{.}5$ mark$)$

$3)$ The following numbers are in twos compliment form, please solve these problems showing all working out $(0\mathrm{.}5$ mark each$).$

i$)01100001+00110111$

ii$)00101001+00100111$

iii$)1101001001000111$

iv$)11010011^01100110$

v$)11010011$ & $01100110$