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Determine the octal equivalent of (432267)10?
- a)(432267)8
- b)(346731)8
- c)(2164432)8
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Determine the octal equivalent of (432267)10?a)(432267)8b)(346731)8c)(...
Conversion to Octal
To convert a decimal number to octal, we need to divide the decimal number by 8 successively and note down the remainders at each step. The octal equivalent will be the remainders read in reverse order.
Calculation
Starting with the decimal number (432267)10:
Step 1: 432267 ÷ 8 = 54033 with a remainder of 3
Step 2: 54033 ÷ 8 = 6754 with a remainder of 1
Step 3: 6754 ÷ 8 = 844 with a remainder of 2
Step 4: 844 ÷ 8 = 105 with a remainder of 4
Step 5: 105 ÷ 8 = 13 with a remainder of 1
Step 6: 13 ÷ 8 = 1 with a remainder of 5
Step 7: 1 ÷ 8 = 0 with a remainder of 1
Octal Equivalent
Reading the remainders in reverse order, we get the octal equivalent as (1514213)8.
Therefore, the octal equivalent of the decimal number (432267)10 is not provided in the options given.
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Community Answer
Determine the octal equivalent of (432267)10?a)(432267)8b)(346731)8c)(...
Concept:
Following are the steps to convert decimal to octal:
- If the provided decimal number is less than the number 8 then the octal number is the same.
- If the provided decimal number is larger than 7 then divide it by number 8.
- take a note of the remainder, received after division
- Repeat step 2 and 3 with the quotient until it is less than 8
- Now, note the remainders in the reverse order (bottom to top)
- The resultant thus received is the equivalent octal number to the provided decimal number.
Explanation:
Hence, (432267)10 = (1514213)8
Hence, (432267)10 = (1514213)8
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