We read your photo as:

Complete the addition table in number base 6, given the sets A = 1,2,3,4 for rows and B = 0,1,2,3 for columns.

Mathematics

ScanSolve AI Answer

Answer

To complete the addition table in number base 6, we perform addition for each cell, converting the sum to base 6 if it is 6 or greater. The sets are A={1,2,3,4}A = \{1,2,3,4\} (rows) and B={0,1,2,3}B = \{0,1,2,3\} (columns).

Step-by-step solution

3 steps
  1. Identify the missing values in the table.

    The missing values correspond to the following additions:

    • 2⊕32 \oplus 3
    • 3⊕23 \oplus 2
    • 4⊕14 \oplus 1
  2. Calculate each missing value in base 6.

    • For 2⊕32 \oplus 3: In base 10, 2+3=52 + 3 = 5. Since 5<65 < 6, the value in base 6 is 565_6.
    • For 3⊕23 \oplus 2: In base 10, 3+2=53 + 2 = 5. Since 5<65 < 6, the value in base 6 is 565_6.
    • For 4⊕14 \oplus 1: In base 10, 4+1=54 + 1 = 5. Since 5<65 < 6, the value in base 6 is 565_6.
  3. Fill in the calculated values to complete the table.

    The completed addition table in base 6 is:

    ⊕012311234223453345104451011\begin{array}{|c|c|c|c|c|} \hline \oplus & 0 & 1 & 2 & 3 \\ \hline 1 & 1 & 2 & 3 & 4 \\ \hline 2 & 2 & 3 & 4 & \mathbf{5} \\ \hline 3 & 3 & 4 & \mathbf{5} & 10 \\ \hline 4 & 4 & \mathbf{5} & 10 & 11 \\ \hline \end{array}

    The completed table is shown above.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp