Draw an addition and multiplication table for number base 11

Here are the addition and multiplication tables for number base 11. The digits used in base 11 are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A (where A represents the decimal value 10).

1. Addition Table (Base 11)
To perform addition in base 11, if the sum of two digits is 11 or greater, we divide the sum by 11. The remainder is the digit in the current place, and the quotient is carried over to the next place. For example, $9 + 3 = 12_{10} = 11_{11}$ (1 group of 11 and 1 remainder).

$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \mathbf{+} & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} & \mathbf{8} & \mathbf{9} & \mathbf{A} \\ \hline \mathbf{0} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A \\ \mathbf{1} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A & 10 \\ \mathbf{2} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A & 10 & 11 \\ \mathbf{3} & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A & 10 & 11 & 12 \\ \mathbf{4} & 4 & 5 & 6 & 7 & 8 & 9 & A & 10 & 11 & 12 & 13 \\ \mathbf{5} & 5 & 6 & 7 & 8 & 9 & A & 10 & 11 & 12 & 13 & 14 \\ \mathbf{6} & 6 & 7 & 8 & 9 & A & 10 & 11 & 12 & 13 & 14 & 15 \\ \mathbf{7} & 7 & 8 & 9 & A & 10 & 11 & 12 & 13 & 14 & 15 & 16 \\ \mathbf{8} & 8 & 9 & A & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 \\ \mathbf{9} & 9 & A & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 \\ \mathbf{A} & A & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \\ \hline \end{array}$$

2. Multiplication Table (Base 11)
To perform multiplication in base 11, we multiply the digits as in decimal, then convert the product to base 11. For example, $5 \times 5 = 25_{10} = 2 \times 11 + 3 = 23_{11}$.

$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \mathbf{\times} & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} & \mathbf{8} & \mathbf{9} & \mathbf{A} \\ \hline \mathbf{0} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ \mathbf{1} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & A \\ \mathbf{2} & 0 & 2 & 4 & 6 & 8 & A & 11 & 13 & 15 & 17 & 19 \\ \mathbf{3} & 0 & 3 & 6 & 9 & 11 & 14 & 17 & 1A & 22 & 25 & 28 \\ \mathbf{4} & 0 & 4 & 8 & 11 & 15 & 19 & 22 & 26 & 2A & 33 & 37 \\ \mathbf{5} & 0 & 5 & A & 14 & 19 & 23 & 28 & 32 & 37 & 41 & 46 \\ \mathbf{6} & 0 & 6 & 11 & 17 & 22 & 28 & 33 & 39 & 44 & 4A & 55 \\ \mathbf{7} & 0 & 7 & 13 & 1A & 26 & 32 & 39 & 45 & 51 & 58 & 64 \\ \mathbf{8} & 0 & 8 & 15 & 22 & 2A & 37 & 44 & 51 & 59 & 66 & 73 \\ \mathbf{9} & 0 & 9 & 17 & 25 & 33 & 41 & 4A & 58 & 66 & 74 & 82 \\ \mathbf{A} & 0 & A & 19 & 28 & 37 & 46 & 55 & 64 & 73 & 82 & 91 \\ \hline \end{array}$$