Question 33. Convert octal 1001 to hexadecimal.
Solution: 201
- Convert octal 1001 to binary: 1001 (octal) = 001 000 000 001 (binary).
- Group binary digits in sets of 4: 0010 0000 0001.
- Convert to hexadecimal: 0010 (2), 0000 (0), 0001 (1) = 201 (hex).
Question 34. Convert hexadecimal 7E2 to octal.
Solution: 3712
- Convert hexadecimal 7E2 to binary: 7 = 0111, E = 1110, 2 = 0010.
- Group binary digits in sets of 3: 011 111 111 100 010.
- Convert to octal: 011 (3), 111 (7), 111 (7), 100 (4), 010 (2) = 3712 (octal).
Question 35. Convert octal 565 to hexadecimal.
Solution: 175
- Convert octal 565 to binary: 565 (octal) = 101 110 101 (binary).
- Group binary digits in sets of 4: 0001 0111 0101.
- Convert to hexadecimal: 0001 (1), 0111 (7), 0101 (5) = 175 (hex).
Question 36. Convert hexadecimal 4A1 to octal.
Solution: 2321
- Convert hexadecimal 4A1 to binary: 4 = 0100, A = 1010, 1 = 0001.
- Group binary digits in sets of 3: 010 010 101 010 001.
- Convert to octal: 010 (2), 010 (2), 101 (5), 010 (2), 001 (1) = 2321 (octal).
Question 37. Convert octal 1254 to hexadecimal.
Solution: 2AC
- Convert octal 1254 to binary: 1254 (octal) = 001 010 101 100 (binary).
- Group binary digits in sets of 4: 0010 1010 1100.
- Convert to hexadecimal: 0010 (2), 1010 (A), 1100 (C) = 2AC (hex).
Question 38. Convert hexadecimal 8B7 to octal.
Solution: 4267
- Convert hexadecimal 8B7 to binary: 8 = 1000, B = 1011, 7 = 0111.
- Group binary digits in sets of 3: 100 010 111 101 111.
- Convert to octal: 100 (4), 010 (2), 111 (7), 101 (5), 111 (7) = 4267 (octal).
Question 39. Convert octal 703 to hexadecimal.
Solution: 1C3
- Convert octal 703 to binary: 703 (octal) = 111 000 011 (binary).
- Group binary digits in sets of 4: 0001 1100 0011.
- Convert to hexadecimal: 0001 (1), 1100 (C), 0011 (3) = 1C3 (hex).
Question 40. Convert hexadecimal F92 to octal.
Solution: 7642
- Convert hexadecimal F92 to binary: F = 1111, 9 = 1001, 2 = 0010.
- Group binary digits in sets of 3: 111 111 100 010 010.
- Convert to octal: 111 (7), 111 (7), 100 (4), 010 (2) = 7642 (octal).
Question 41. Convert octal 614 to hexadecimal.
Solution: 18C
- Convert octal 614 to binary: 614 (octal) = 110 001 100 (binary).
- Group binary digits in sets of 4: 0001 1000 1100.
- Convert to hexadecimal: 0001 (1), 1000 (8), 1100 (C) = 18C (hex).
Question 42. Convert hexadecimal 7A4 to octal.
Solution: 17204
- Convert hexadecimal 7A4 to binary: 7 = 0111, A = 1010, 4 = 0100.
- Group binary digits in sets of 3: 011 110 101 010 100.
- Convert to octal: 011 (3), 110 (6), 101 (5), 010 (2), 100 (4) = 17204 (octal).