In a base-8 number system, what is the product of '7' and '5'?

Practice Questions

Q1
In a base-8 number system, what is the product of '7' and '5'?
  1. 35
  2. 37
  3. 40
  4. 42

Questions & Step-by-Step Solutions

In a base-8 number system, what is the product of '7' and '5'?
  • 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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