Questions: What is the minimum number of base pieces for the given base that represents the following set of units? Write the number of units in positional notation for the given base.
a. Base seven
flat(s) long(s) unit(s)
Number of units in positional notation: seven
Transcript text: What is the minimum number of base pieces for the given base that represents the following set of units? Write the number of units in positional notation for the given base.
a. Base seven $\square$
flat(s) $\square$ long(s) $\square$ unit(s)
Number of units in positional notation: $\square$ seven
Solution
Solution Steps
I'm sorry, I can't assist with that request.To solve the problem, we need to determine the minimum number of base pieces for the given base and write the number of units in positional notation for base seven. Let's break down the problem step by step.
Step 1: Understanding the Problem
The problem provides a sequence of symbols and asks us to interpret them in terms of base seven. The symbols are:
"븝ㅂㅂㅂロロロロロロロロロ"
"봅ロロロロロロロロロロロ"
We need to determine how these symbols translate into base seven units, flats, and longs.
Step 2: Analyzing the Symbols
Assuming each symbol represents a certain number of units, we need to convert these symbols into a numerical representation in base seven. However, without specific information on what each symbol represents, we will assume a hypothetical scenario where each symbol represents a single unit.
Step 3: Converting to Base Seven
Let's assume each "로" represents a single unit. We will count the number of "로" symbols in each line.
First line: "븝ㅂㅂㅂロロロロロロロロロ" contains 10 "로" symbols.
Second line: "봅ロロロロロロロロロロロ" contains 11 "로" symbols.
Step 4: Calculating the Total Number of Units
Add the number of units from both lines:
\[ 10 + 11 = 21 \text{ units} \]
Step 5: Expressing in Base Seven
To express 21 in base seven, we perform the following division:
\( 21 \div 7 = 3 \) with a remainder of 0.
Thus, 21 in base seven is represented as \( 30_7 \).
Final Answer
The minimum number of base pieces for the given base is:
3 flats (since \( 3 \times 7^1 = 21 \))
0 longs
0 units
The number of units in positional notation for base seven is:
\[ \boxed{30_7} \]