Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
In a base-3 number system, what is the product of '10' and '11'?
In a base-3 number system, what is the product of '10' and '11'?
Expand All
Collapse All
Practice Questions
1 question
Q1
In a base-3 number system, what is the product of '10' and '11'?
100
110
101
111
Show Solution
Copy
'10' in base 3 is 3 and '11' is 4. Their product is 12, which is '110' in base 3.
Questions & Step-by-step Solutions
1 item
Q
Q: In a base-3 number system, what is the product of '10' and '11'?
Solution:
'10' in base 3 is 3 and '11' is 4. Their product is 12, which is '110' in base 3.
Steps: 8
Show Steps
Step 1: Understand that '10' in base-3 means 1*3^1 + 0*3^0, which equals 3 in decimal.
Step 2: Understand that '11' in base-3 means 1*3^1 + 1*3^0, which equals 4 in decimal.
Step 3: Multiply the decimal values: 3 (from '10') * 4 (from '11') = 12.
Step 4: Convert the decimal product (12) back to base-3. Start by finding the largest power of 3 less than or equal to 12.
Step 5: The largest power of 3 less than or equal to 12 is 9 (which is 3^2). 12 - 9 = 3.
Step 6: The next largest power of 3 is 3 (which is 3^1). 3 - 3 = 0.
Step 7: Since there are no remaining values, we have 1 for 3^2, 1 for 3^1, and 0 for 3^0.
Step 8: Write the base-3 representation: '110' (1 for 3^2, 1 for 3^1, and 0 for 3^0).
Related Questions
W
Which sentence would best fit in the blank space in the following paragraph? 'Wh
Question: Which sentence would best fit in the blank space in the following paragraph? \'While socia..
W
What can be inferred about the author's attitude towards social media?
Question: What can be inferred about the author\'s attitude towards social media?Options: The author..
W
Which of the following words best captures the essence of the author's perspecti
Question: Which of the following words best captures the essence of the author\'s perspective on soc..
W
What is the relationship between verbal ability and overall performance in the C
Question: What is the relationship between verbal ability and overall performance in the CAT exam as..
W
Which of the following best summarizes the main argument of the passage?
Question: Which of the following best summarizes the main argument of the passage?Options: Verbal ab..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
