Question 21. Convert the decimal number 28 to octal.
Answer: 34
- Step 1: Divide 28 by 8, quotient is 3 and remainder is 4.
- Step 2: Divide the quotient 3 by 8, quotient is 0 and remainder is 3.
- Step 3: Read the remainders from bottom to top: 34 in octal.
Question 22. Convert the octal number 34 to decimal.
Answer: 28
- Step 1: Multiply 3 by 8^1 and 4 by 8^0.
- Step 2: 3 * 8 = 24, 4 * 1 = 4.
- Step 3: Add the results: 24 + 4 = 28 in decimal.
Question 23. Convert the decimal number 100 to octal.
Answer: 144
- Step 1: Divide 100 by 8, quotient is 12 and remainder is 4.
- Step 2: Divide the quotient 12 by 8, quotient is 1 and remainder is 4.
- Step 3: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
- Step 4: Read the remainders from bottom to top: 144 in octal.
Question 24. Convert the octal number 144 to decimal.
Answer: 100
- Step 1: Multiply 1 by 8^2, 4 by 8^1, and 4 by 8^0.
- Step 2: 1 * 64 = 64, 4 * 8 = 32, 4 * 1 = 4.
- Step 3: Add the results: 64 + 32 + 4 = 100 in decimal.
Question 25. Convert the decimal number 68 to octal.
Answer: 104
- Step 1: Divide 68 by 8, quotient is 8 and remainder is 4.
- Step 2: Divide the quotient 8 by 8, quotient is 1 and remainder is 0.
- Step 3: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
- Step 4: Read the remainders from bottom to top: 104 in octal.
Question 26. Convert the octal number 104 to decimal.
Answer: 68
- Step 1: Multiply 1 by 8^2, 0 by 8^1, and 4 by 8^0.
- Step 2: 1 * 64 = 64, 0 * 8 = 0, 4 * 1 = 4.
- Step 3: Add the results: 64 + 0 + 4 = 68 in decimal.
Question 27. Convert the decimal number 12 to octal.
Answer: 14
- Step 1: Divide 12 by 8, quotient is 1 and remainder is 4.
- Step 2: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
- Step 3: Read the remainders from bottom to top: 14 in octal.
Question 28. Convert the octal number 14 to decimal.
Answer: 12
- Step 1: Multiply 1 by 8^1 and 4 by 8^0.
- Step 2: 1 * 8 = 8, 4 * 1 = 4.
- Step 3: Add the results: 8 + 4 = 12 in decimal.
Question 29. Convert the decimal number 99 to octal.
Answer: 143
- Step 1: Divide 99 by 8, quotient is 12 and remainder is 3.
- Step 2: Divide the quotient 12 by 8, quotient is 1 and remainder is 4.
- Step 3: Divide the quotient 1 by 8, quotient is 0 and remainder is 1.
- Step 4: Read the remainders from bottom to top: 143 in octal.
Question 30. Convert the octal number 143 to decimal.
Answer: 99
- Step 1: Multiply 1 by 8^2, 4 by 8^1, and 3 by 8^0.
- Step 2: 1 * 64 = 64, 4 * 8 = 32, 3 * 1 = 3.
- Step 3: Add the results: 64 + 32 + 3 = 99 in decimal.