Write each of the following numerals in base 10. For base twelve, $T$ and $E$ represent the face values ten and eleven, respectively.
a. $411_{five}$
b. $11101_{two}$
c. $23 T_{twelve}$

Answer

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Answer

$334_{ten}$

Steps

Step 1 ： $4 * 5^{2} + 1 * 5^{1} + 1 * 5^{0} = 100 + 5 + 1$

Step 2 ： $106_{ten}$

Step 3 ： $1 * 2^{4} + 1 * 2^{3} + 1 * 2^{2} + 0 * 2^{1} + 1 * 2^{0} = 16 + 8 + 4 + 0 + 1$

Step 4 ： $29_{ten}$

Step 5 ： $2 * 12^{2} + 3 * 12^{1} + 10 * 12^{0} = 288 + 36 + 10$

Step 6 ： $334_{ten}$