decimal to Octal conversion Questions

These questions are generally asked in university exam

Here, 63 questions are available on topic " Octal to Hexadecimal " or " Hexadecimal to Octal " conversions

Question 1. Convert the decimal number 45 to octal.

Answer: 55

Step 1: Divide 45 by 8, quotient is 5 and remainder is 5.
Step 2: Divide the quotient 5 by 8, quotient is 0 and remainder is 5.
Step 3: Read the remainders from bottom to top: 55 in octal.

Question 2. Convert the octal number 45 to decimal.

Answer: 37

Step 1: Multiply 4 by 8^1 and 5 by 8^0.
Step 2: 4 * 8 = 32, 5 * 1 = 5.
Step 3: Add the results: 32 + 5 = 37 in decimal.

Question 3. Convert the decimal number 180 to octal.

Answer: 264

Step 1: Divide 180 by 8, quotient is 22 and remainder is 4.
Step 2: Divide the quotient 22 by 8, quotient is 2 and remainder is 6.
Step 3: Divide the quotient 2 by 8, quotient is 0 and remainder is 2.
Step 4: Read the remainders from bottom to top: 264 in octal.

Question 4. Convert the octal number 264 to decimal.

Answer: 180

Step 1: Multiply 2 by 8^2, 6 by 8^1, and 4 by 8^0.
Step 2: 2 * 64 = 128, 6 * 8 = 48, 4 * 1 = 4.
Step 3: Add the results: 128 + 48 + 4 = 180 in decimal.

Question 5. Convert the decimal number 75 to octal.

Answer: 113

Step 1: Divide 75 by 8, quotient is 9 and remainder is 3.
Step 2: Divide the quotient 9 by 8, quotient is 1 and remainder is 1.
Step 3: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
Step 4: Read the remainders from bottom to top: 113 in octal.

Question 6. Convert the octal number 113 to decimal.

Answer: 75

Step 1: Multiply 1 by 8^2, 1 by 8^1, and 3 by 8^0.
Step 2: 1 * 64 = 64, 1 * 8 = 8, 3 * 1 = 3.
Step 3: Add the results: 64 + 8 + 3 = 75 in decimal.

Question 7. Convert the decimal number 250 to octal.

Answer: 372

Step 1: Divide 250 by 8, quotient is 31 and remainder is 2.
Step 2: Divide the quotient 31 by 8, quotient is 3 and remainder is 7.
Step 3: Divide the quotient 3 by 8, quotient is 0 and remainder is 3.
Step 4: Read the remainders from bottom to top: 372 in octal.

Question 8. Convert the octal number 372 to decimal.

Answer: 250

Step 1: Multiply 3 by 8^2, 7 by 8^1, and 2 by 8^0.
Step 2: 3 * 64 = 192, 7 * 8 = 56, 2 * 1 = 2.
Step 3: Add the results: 192 + 56 + 2 = 250 in decimal.

Question 9. Convert the decimal number 320 to octal.

Answer: 500

Step 1: Divide 320 by 8, quotient is 40 and remainder is 0.
Step 2: Divide the quotient 40 by 8, quotient is 5 and remainder is 0.
Step 3: Divide the quotient 5 by 8, quotient is 0 and remainder is 5.
Step 4: Read the remainders from bottom to top: 500 in octal.

Question 10. Convert the octal number 500 to decimal.

Answer: 320

Step 1: Multiply 5 by 8^2 and 0 by 8^1 and 0 by 8^0.
Step 2: 5 * 64 = 320, 0 * 8 = 0, 0 * 1 = 0.
Step 3: Add the results: 320 + 0 + 0 = 320 in decimal.