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

Answer

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Answer

$\boxed{334_{\text {ten }}}$

Steps

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

Step 2 ：$\boxed{106_{\text {ten }}}$

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

Step 4 ：$\boxed{29_{\text {ten }}}$

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

Step 6 ：$\boxed{334_{\text {ten }}}$