Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The number 149 in octal code isa)154b)178c)25... Start Learning for Free
The number 149 in octal code is
- a)154
- b)178
- c)254
- d)225
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The number 149 in octal code isa)154b)178c)254d)225Correct answer is o...
Understanding Octal Conversion
To convert the decimal number 149 into octal, we follow a systematic process of dividing the number by 8 (the base of octal) and keeping track of the remainders.
Step-by-Step Conversion
1. Divide 149 by 8:
- 149 ÷ 8 = 18 with a remainder of 5.
- Record the remainder (5).
2. Divide the quotient (18) by 8:
- 18 ÷ 8 = 2 with a remainder of 2.
- Record the remainder (2).
3. Divide the next quotient (2) by 8:
- 2 ÷ 8 = 0 with a remainder of 2.
- Record the remainder (2).
Collecting Remainders
- Now we have the remainders in reverse order:
- From the last division to the first: 2, 2, 5.
Final Octal Representation
- Reading the remainders from the last division to the first gives us:
- 225 in octal.
Conclusion
Thus, the decimal number 149 is represented as 225 in octal code. Therefore, the correct answer is option 'D'.
To convert the decimal number 149 into octal, we follow a systematic process of dividing the number by 8 (the base of octal) and keeping track of the remainders.
Step-by-Step Conversion
1. Divide 149 by 8:
- 149 ÷ 8 = 18 with a remainder of 5.
- Record the remainder (5).
2. Divide the quotient (18) by 8:
- 18 ÷ 8 = 2 with a remainder of 2.
- Record the remainder (2).
3. Divide the next quotient (2) by 8:
- 2 ÷ 8 = 0 with a remainder of 2.
- Record the remainder (2).
Collecting Remainders
- Now we have the remainders in reverse order:
- From the last division to the first: 2, 2, 5.
Final Octal Representation
- Reading the remainders from the last division to the first gives us:
- 225 in octal.
Conclusion
Thus, the decimal number 149 is represented as 225 in octal code. Therefore, the correct answer is option 'D'.
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The number 149 in octal code isa)154b)178c)254d)225Correct answer is o...
Concept:
Steps to convert decimal number to octal:
1) Write the given decimal number.
2) If the given decimal number is less than 8 the octal number is the same.
3) If the decimal number is greater than 7 then divide the number by 8.
4) Note the remainder, we get after division.
5) Repeat steps 3 and 4 with the quotient till it is less than 8.
6) Now, write the remainders in reverse order (bottom to top).
7) The resultant is the equivalent octal number to the given decimal number.
Steps to convert decimal number to octal:
1) Write the given decimal number.
2) If the given decimal number is less than 8 the octal number is the same.
3) If the decimal number is greater than 7 then divide the number by 8.
4) Note the remainder, we get after division.
5) Repeat steps 3 and 4 with the quotient till it is less than 8.
6) Now, write the remainders in reverse order (bottom to top).
7) The resultant is the equivalent octal number to the given decimal number.
Calculation:
Given decimal number = 149
The long division method is as shown:
Given decimal number = 149
The long division method is as shown:
∴ The correct octal equivalent of 149 is 225
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