Understanding Numeral Systems binary, octal, decimal, and hexadecimal for PCEP-30-02 Python Exam

Question 1: Which of the following is the correct binary representation of the decimal number 10?

1. 1001
2. 1010
3. 1111
4. 1100

Question 2: What is the octal representation of the decimal number 8?

1. 10
2. 8
3. 12
4. 11

Question 3: What is the hexadecimal representation of the binary number 1110?

1. A
2. B
3. C
4. E

Question 4: Which of the following are valid hexadecimal digits? (Select all that apply).

1. G
2. 9
3. F
4. B

Question 5: Select all the valid binary numbers.

1. 1010
2. 1021
3. 0110
4. 2101

Question 6: Place the following binary numbers in the correct decimal order: 1101, 1001, 1010, 1110.

Question 7: Place the following hexadecimal numbers in the correct decimal order: A, 9, C, B.

Question 8: The binary number 1011 in decimal is ______.

Question 9: The hexadecimal number F in decimal is ______.

Question 10: Sort the following numbers in ascending order: 1A (hex), 1100 (binary), 14 (decimal), 16 (octal).

Question 11: Sort the following numbers in ascending order: 101 (binary), 21 (octal), 11 (decimal), B (hex).

Question 12: Fill in the missing code to convert the binary number 1011 to decimal.

binary = "1011"
decimal = int(binary, ______)
print(decimal)

Question 13: Fill in the missing code to convert the decimal number 255 to hexadecimal.

decimal = 255
hexadecimal = hex(______)
print(hexadecimal)

Question 14: Insert the correct code to convert the octal number 17 to decimal.

octal = "17"
decimal = int(octal, ____)
print(decimal)

Question 15: Insert the correct code to convert the hexadecimal number '1C' to decimal.

hex_num = "1C"
decimal = int(hex_num, ____)
print(decimal)

Question 16: What is the binary representation of the hexadecimal number B?.

1. 1011
2. 1100
3. 1110
4. 1001

Question 17: What is the octal representation of the binary number 1111?

1. 17
2. 18
3. 16
4. 15

Question 18: Which of the following are valid octal numbers? (Select all that apply)

1. 78
2. 67
3. 54
4. 45

Question 19: Which of the following are valid decimal numbers? (Select all that apply)

1. 10
2. 20
3. 1F
4. 101

Question 20: The octal number 21 in decimal is ______.

Question 21: The hexadecimal number A in decimal is ______.

Question 22: Sort the following numbers in ascending order: 110 (binary), 11 (decimal), 2 (hex), 10 (octal).

Question 23: Sort the following numbers in ascending order: 1F (hex), 22 (octal), 1110 (binary), 25 (decimal).

Question 24: Fill in the missing code to convert the decimal number 128 to binary.

decimal = 128
binary = bin(______)
print(binary)

Question 25: Fill in the missing code to convert the octal number 75 to hexadecimal.

octal = "75"
decimal = int(octal, 8)
hexadecimal = hex(______)
print(hexadecimal)

Question 26: Insert the correct code to convert the binary number 101010 to octal.

binary = "101010"
decimal = int(binary, 2)
octal = oct(______)
print(octal)

Question 27: Insert the correct code to convert the hexadecimal number 2A to binary.

hex_num = "2A"
decimal = int(hex_num, 16)
binary = bin(______)
print(binary)