4. Numeration Systems

Perform the addition below in the indicated base, then check by converting to base 10 and adding.

Hint: Add digits in base 10, then convert to indicated base and carry as needed.

${1011}_{two}+{1101}_{two}$

Perform the addition below in the indicated base, then check by converting to base 10 and adding.

   Hint: Add digits in base 10, then convert to indicated base and carry as needed.

$A{7}_{16}+3C_{16}$

Perform the addition below in the indicated base, then check by converting to base 10 and adding.

Hint: Add digits in base 10, then convert to indicated base and carry as needed.

$2A_{12}+{239}_{12}$

Perform the subtraction below in the indicated base, then check by converting to base 10 and subtracting.

Hint: If you need to borrow, the number you borrow is the base.

${1101}_{two}-{1011}_{two}$