Question 23. Convert octal 677 to hexadecimal.
Solution: 1BF
- Convert octal 677 to binary: 677 (octal) = 110 111 111 (binary).
- Group binary digits in sets of 4: 0001 1011 1111.
- Convert to hexadecimal: 0001 (1), 1011 (B), 1111 (F) = 1BF (hex).
Question 24. Convert hexadecimal 11D2 to octal.
Solution: 10522
- Convert hexadecimal 11D2 to binary: 1 = 0001, 1 = 0001, D = 1101, 2 = 0010.
- Group binary digits in sets of 3: 000 100 001 001 101 010.
- Convert to octal: 000 (0), 100 (4), 001 (1), 001 (1), 101 (5), 010 (2) = 10522 (octal).
Question 25. Convert octal 7216 to hexadecimal.
Solution: 1D96
- Convert octal 7216 to binary: 7216 (octal) = 111 010 001 110 (binary).
- Group binary digits in sets of 4: 0001 1101 1001 0110.
- Convert to hexadecimal: 0001 (1), 1101 (D), 1001 (9), 0110 (6) = 1D96 (hex).
Question 26. Convert hexadecimal 1FA5 to octal.
Solution: 17545
- Convert hexadecimal 1FA5 to binary: 1 = 0001, F = 1111, A = 1010, 5 = 0101.
- Group binary digits in sets of 3: 000 111 111 101 010 101.
- Convert to octal: 000 (0), 111 (7), 111 (7), 101 (5), 010 (2), 101 (5) = 17545 (octal).
Question 27. Convert octal 751 to hexadecimal.
Solution: 1F9
- Convert octal 751 to binary: 751 (octal) = 111 101 001 (binary).
- Group binary digits in sets of 4: 0001 1111 1001.
- Convert to hexadecimal: 0001 (1), 1111 (F), 1001 (9) = 1F9 (hex).
Question 28. Convert hexadecimal 2BC7 to octal.
Solution: 12707
- Convert hexadecimal 2BC7 to binary: 2 = 0010, B = 1011, C = 1100, 7 = 0111.
- Group binary digits in sets of 3: 001 010 101 100 011 011 101 110.
- Convert to octal: 001 (1), 010 (2), 101 (5), 100 (4), 011 (3), 011 (3), 101 (5), 110 (6) = 12707 (octal).
Question 29. Convert octal 1024 to hexadecimal.
Solution: 214
- Convert octal 1024 to binary: 1024 (octal) = 001 000 010 100 (binary).
- Group binary digits in sets of 4: 0010 0001 0100.
- Convert to hexadecimal: 0010 (2), 0001 (1), 0100 (4) = 214 (hex).
Question 30. Convert hexadecimal 9B5 to octal.
Solution: 4665
- Convert hexadecimal 9B5 to binary: 9 = 1001, B = 1011, 5 = 0101.
- Group binary digits in sets of 3: 001 101 101 011 011 010.
- Convert to octal: 001 (1), 101 (5), 101 (5), 011 (3), 011 (3), 010 (2) = 4665 (octal).
Question 31. Convert octal 777 to hexadecimal.
Solution: 1FF
- Convert octal 777 to binary: 777 (octal) = 111 111 111 (binary).
- Group binary digits in sets of 4: 0001 1111 1111.
- Convert to hexadecimal: 0001 (1), 1111 (F), 1111 (F) = 1FF (hex).
Question 32. Convert hexadecimal 2F8 to octal.
Solution: 1370
- Convert hexadecimal 2F8 to binary: 2 = 0010, F = 1111, 8 = 1000.
- Group binary digits in sets of 3: 010 111 111 100 000.
- Convert to octal: 010 (2), 111 (7), 111 (7), 100 (4) = 1370 (octal).