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In a base-8 number system, what is the product of '7' and '5'?
In a base-8 number system, what is the product of '7' and '5'?
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Q1
In a base-8 number system, what is the product of '7' and '5'?
35
37
40
42
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7*5 = 35 in decimal, which is '43' in base-8.
Questions & Step-by-step Solutions
1 item
Q
Q: In a base-8 number system, what is the product of '7' and '5'?
Solution:
7*5 = 35 in decimal, which is '43' in base-8.
Steps: 5
Show Steps
Step 1: Understand that we are working in a base-8 number system, which means the digits can only be from 0 to 7.
Step 2: Multiply the numbers '7' and '5' as you would in the decimal system: 7 * 5 = 35.
Step 3: Convert the decimal result (35) into base-8. To do this, divide 35 by 8 and find the quotient and remainder.
Step 4: When you divide 35 by 8, the quotient is 4 and the remainder is 3. This means 35 in decimal is represented as '43' in base-8.
Step 5: Therefore, the product of '7' and '5' in base-8 is '43'.
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