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In a base-6 number system, what is the product of '5' and '2'?
In a base-6 number system, what is the product of '5' and '2'?
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Q1
In a base-6 number system, what is the product of '5' and '2'?
10
12
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In base-6, '5' * '2' = 10 in decimal, which is '12' in base-6.
Questions & Step-by-step Solutions
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Q
Q: In a base-6 number system, what is the product of '5' and '2'?
Solution:
In base-6, '5' * '2' = 10 in decimal, which is '12' in base-6.
Steps: 6
Show Steps
Step 1: Understand that we are working in base-6, which means the digits can only be 0, 1, 2, 3, 4, or 5.
Step 2: Multiply the numbers '5' and '2' as you would in decimal: 5 * 2 = 10.
Step 3: Convert the decimal result (10) into base-6. To do this, divide 10 by 6.
Step 4: When you divide 10 by 6, you get 1 as the quotient and 4 as the remainder (10 = 6*1 + 4).
Step 5: The quotient (1) is the next digit, and the remainder (4) is the last digit in base-6.
Step 6: Therefore, 10 in decimal is represented as '14' in base-6.
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