4. Numeration Systems

Perform the division below in the indicated base, then check by converting to base 10 and dividing.

   Hint: Follow the steps of long division but do every step in the indicated base.

${1010}_{two}÷{10}_{two}$

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 multiplication below in the indicated base, then check by converting to base 10 and multiplying.   

 Hint: Multiply digits in base 10, then convert to the indicate base.

${101}_{two}\times {11}_{two}$

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.

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

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.

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

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.

${239}_{12}-A{3}_{12}$

Perform the division below in the indicated base, then check by converting to base 10 and dividing.

Hint: Follow the steps of long division but do every step in the indicated base.

${133}_4÷2_4$

Perform the multiplication below in the indicated base, then check by converting to base 10 and multiplying.

    Hint: Multiply digits in base 10, then convert to the indicate base.

$1A_{16}\times 3_{16}$

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.

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

Perform the division below in the indicated base, then check by converting to base 10 and dividing.

   Hint: Follow the steps of long division but do every step in the indicated base.

$9C_{16}÷4_{16}$

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 multiplication below in the indicated base, then check by converting to base 10 and multiplying.

Hint: Multiply digits in base 10, then convert to the indicate base.

${17}_8\times {11}_8$