subtract in the indicated base.

\
\begin{array}{r}
3310_4 \\
- 1122_4 \\
\hline
\end{array}
\

Question

subtract in the indicated base.

\
\begin{array}{r}
3310_4 \\
- 1122_4 \\
\hline
\end{array}
\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Base Subtraction" ], "new_concepts": [], "current_concepts": [ "Base Subtraction", "Base Arithmetic" ] } ## Subtract the units column Using the *Base Subtraction* knowledge point $$ \begin{aligned} &\text{Units column: } 0_4 - 2_4 \ &\text{Borrow } 1 \text{ from the next column (value of } 4_d\text{):} \ &(0 + 4) - 2 = 2_4 \end{aligned} $$ ## Subtract the fours column Using the *Base Subtraction* knowledge point $$ \begin{aligned} &\text{Fours column: } (1 - 1) - 2 = 0_4 - 2_4 \ &\text{Borrow } 1 \text{ from the next column (value of } 4_d\text{):} \ &(0 + 4) - 2 = 2_4 \end{aligned} $$ ## Subtract the sixteens column Using the *Base Subtraction* knowledge point $$ \begin{aligned} &\text{Sixteens column: } (3 - 1) - 1 = 2_4 - 1_4 \ &2 - 1 = 1_4 \end{aligned} $$ ## Subtract the sixty-fours column Using the *Base Subtraction* knowledge point $$ \begin{aligned} &\text{Sixty-fours column: } 3_4 - 1_4 \ &3 - 1 = 2_4 \end{aligned} $$ ## Combine the column results Using the *Base Subtraction* knowledge point $$ 3310_4 - 1122_4 = 2122_4 $$ Subtract in the indicated base. $$ \begin{array}{r@{\quad}l} 3310_4 \ -\ 1122_4 \ \hline \end{array} $$ The result is $2122_4$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Number Theory", "Base Subtraction" ] }

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QUESTION IMAGE

Question

Explanation:

Subtract the units column

Subtract the fours column

Subtract the sixteens column

Subtract the sixty-fours column

Combine the column results

Answer: