decimal to Octal conversion Questions

These questions are generally asked in university exam

Question 11. Convert the decimal number 155 to octal.

Answer: 233

Step 1: Divide 155 by 8, quotient is 19 and remainder is 3.
Step 2: Divide the quotient 19 by 8, quotient is 2 and remainder is 3.
Step 3: Divide the quotient 2 by 8, quotient is 0 and remainder is 2.
Step 4: Read the remainders from bottom to top: 233 in octal.

Question 12. Convert the octal number 233 to decimal.

Answer: 155

Step 1: Multiply 2 by 8^2, 3 by 8^1, and 3 by 8^0.
Step 2: 2 * 64 = 128, 3 * 8 = 24, 3 * 1 = 3.
Step 3: Add the results: 128 + 24 + 3 = 155 in decimal.

Question 13. Convert the decimal number 275 to octal.

Answer: 423

Step 1: Divide 275 by 8, quotient is 34 and remainder is 3.
Step 2: Divide the quotient 34 by 8, quotient is 4 and remainder is 2.
Step 3: Divide the quotient 4 by 8, quotient is 0 and remainder is 4.
Step 4: Read the remainders from bottom to top: 423 in octal.

Question 14. Convert the octal number 423 to decimal.

Answer: 275

Step 1: Multiply 4 by 8^2, 2 by 8^1, and 3 by 8^0.
Step 2: 4 * 64 = 256, 2 * 8 = 16, 3 * 1 = 3.
Step 3: Add the results: 256 + 16 + 3 = 275 in decimal.

Question 15. Convert the decimal number 500 to octal.

Answer: 764

Step 1: Divide 500 by 8, quotient is 62 and remainder is 4.
Step 2: Divide the quotient 62 by 8, quotient is 7 and remainder is 6.
Step 3: Divide the quotient 7 by 8, quotient is 0 and remainder is 7.
Step 4: Read the remainders from bottom to top: 764 in octal.

Question 16. Convert the octal number 764 to decimal.

Answer: 500

Step 1: Multiply 7 by 8^2, 6 by 8^1, and 4 by 8^0.
Step 2: 7 * 64 = 448, 6 * 8 = 48, 4 * 1 = 4.
Step 3: Add the results: 448 + 48 + 4 = 500 in decimal.

Question 17. Convert the decimal number 300 to octal.

Answer: 454

Step 1: Divide 300 by 8, quotient is 37 and remainder is 4.
Step 2: Divide the quotient 37 by 8, quotient is 4 and remainder is 5.
Step 3: Divide the quotient 4 by 8, quotient is 0 and remainder is 4.
Step 4: Read the remainders from bottom to top: 454 in octal.

Question 18. Convert the octal number 454 to decimal.

Answer: 300

Step 1: Multiply 4 by 8^2, 5 by 8^1, and 4 by 8^0.
Step 2: 4 * 64 = 256, 5 * 8 = 40, 4 * 1 = 4.
Step 3: Add the results: 256 + 40 + 4 = 300 in decimal.

Question 19. Convert the decimal number 600 to octal.

Answer: 1140

Step 1: Divide 600 by 8, quotient is 75 and remainder is 0.
Step 2: Divide the quotient 75 by 8, quotient is 9 and remainder is 3.
Step 3: Divide the quotient 9 by 8, quotient is 1 and remainder is 1.
Step 4: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
Step 5: Read the remainders from bottom to top: 1140 in octal.

Question 20. Convert the octal number 1140 to decimal.

Answer: 600

Step 1: Multiply 1 by 8^3, 1 by 8^2, 4 by 8^1, and 0 by 8^0.
Step 2: 1 * 512 = 512, 1 * 64 = 64, 4 * 8 = 32, 0 * 1 = 0.
Step 3: Add the results: 512 + 64 + 32 + 0 = 600 in decimal.