Fundamentals of Binary system and hexadecimal notation MCQs
Here we have 50 multiple-choice questions (MCQs) focused on Fundamentals of Binary system and hexadecimal notation, along with answers and explanations.
1. What is the base of the binary number system?
- 2
- 8
- 10
- 16
The binary number system is base-2, which means it uses only two digits, 0 and 1.
2. How many unique values can be represented by 4 bits in binary?
- 2
- 4
- 8
- 16
With 4 bits, you can represent 2^4 = 16 unique values.
3. What is the hexadecimal equivalent of the binary number 1101?
- D
- 13
- 7
- A
The binary number 1101 is equivalent to the hexadecimal digit D.
4. What is the decimal equivalent of the binary number 101011?
- 53
- 43
- 37
- 27
To convert binary to decimal, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^5 * 1) + (2^4 * 0) + (2^3 * 1) + (2^2 * 0) + (2^1 * 1) + (2^0 * 1) = 53.
5. How many bits are in a single hexadecimal digit?
- 2 bits
- 4 bits
- 8 bits
- 16 bits
A single hexadecimal digit represents 4 bits.
6. What is the decimal equivalent of the hexadecimal number 1A?
- 16
- 26
- 10
- 27
In hexadecimal, A represents 10. So, 1A in hexadecimal is equivalent to 16 + 10 = 26 in decimal.
7. How many unique values can be represented by 8 bits in binary?
- 16
- 64
- 128
- 256
With 8 bits, you can represent 2^8 = 256 unique values.
8. What is the binary representation of the decimal number 42?
- 101010
- 101011
- 110100
- 110101
To convert decimal to binary, you can use repeated division by 2. 42 in binary is 101010.
9. What is the hexadecimal equivalent of the binary number 11110000?
- FF
- 0F
- F0
- 0A
11110000 in binary is equivalent to F0 in hexadecimal.
10. How many bits are in a byte?
- 4 bits
- 8 bits
- 16 bits
- 32 bits
A byte is composed of 8 bits.
11. In binary addition, what is the result of 1 + 1?
- 0
- 1
- 2
- 3
In binary addition, 1 + 1 results in 10 (binary), which is 2 in decimal.
12. What is the largest decimal number that can be represented by 3 bits in binary?
- 3
- 7
- 8
- 15
With 3 bits, you can represent values from 0 to 7.
13. What is the hexadecimal representation of the decimal number 255?
- FF
- 0F
- F0
- 0A
255 in decimal is equivalent to FF in hexadecimal.
14. How many bits are in a nibble?
- 2 bits
- 4 bits
- 8 bits
- 16 bits
A nibble is composed of 4 bits.
15. What is the binary representation of the hexadecimal number B3?
- 10110011
- 11001101
- 10110101
- 11010101
B3 in binary is 10110011.
16. What is the decimal equivalent of the binary number 10010110?
- 152
- 166
- 128
- 150
To convert binary to decimal, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^7 * 1) + (2^6 * 0) + (2^5 * 0) + (2^4 * 1) + (2^3 * 0) + (2^2 * 1) + (2^1 * 1) + (2^0 * 0) = 166.
17. What is the hexadecimal equivalent of the binary number 1111?
- F
- 1F
- 11
- 7
The binary number 1111 is equivalent to the hexadecimal digit F.
18. How many bits are in a double word (DWORD)?
- 8 bits
- 16 bits
- 32 bits
- 64 bits
A DWORD is composed of 32 bits.
19. What is the binary representation of the hexadecimal number 5A?
- 10110100
- 11010110
- 01011010
- 10101100
5A in binary is 01011010.
20. How many unique values can be represented by 16 bits in binary?
- 64
- 256
- 512
- 65536
With 16 bits, you can represent 2^16 = 65536 unique values.
21. What is the decimal equivalent of the binary number 11011011?
- 219
- 203
- 218
- 216
To convert binary to decimal, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^7 * 1) + (2^6 * 1) + (2^5 * 0) + (2^4 * 1) + (2^3 * 1) + (2^2 * 0) + (2^1 * 1) + (2^0 * 1) = 219.
22. What is the hexadecimal equivalent of the binary number 10100111?
- A7
- 47
- D3
- 89
10100111 in binary is equivalent to A7 in hexadecimal.
23. How many bits are in a nibble?
- 2 bits
- 4 bits
- 8 bits
- 16 bits
A nibble is composed of 4 bits.
24. What is the binary representation of the hexadecimal number FFFF?
- 11111111
- 11111110
- 11111100
- 11111101
FFFF in binary is 1111111111111111.
25. How many bits are in a word in most modern computer architectures?
- 4 bits
- 8 bits
- 16 bits
- 32 bits
In most modern computer architectures, a word is composed of 32 bits.
26. What is the binary representation of the decimal number 63?
- 00111110
- 01111110
- 10111110
- 11111100
To convert decimal to binary, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^6 * 1) + (2^5 * 1) + (2^4 * 1) + (2^3 * 1) + (2^2 * 1) + (2^1 * 1) + (2^0 * 0) = 01111110.
27. What is the hexadecimal equivalent of the binary number 11011010?
- DA
- 6D
- A6
- 26
11011010 in binary is equivalent to DA in hexadecimal.
28. How many unique values can be represented by 6 bits in binary?
- 16
- 32
- 64
- 128
With 6 bits, you can represent 2^6 = 64 unique values.
29. What is the binary representation of the hexadecimal number 9F?
- 10011111
- 10011100
- 10101111
- 11001111
9F in binary is 10011111.
30. How many bits are in a byte?
- 4 bits
- 8 bits
- 12 bits
- 16 bits
A byte is composed of 8 bits.
31. What is the hexadecimal equivalent of the binary number 11101000?
- E8
- 38
- 78
- A8
11101000 in binary is equivalent to E8 in hexadecimal.
32. How many bits are in a nibble?
- 2 bits
- 4 bits
- 6 bits
- 8 bits
A nibble is composed of 4 bits.
33. What is the binary representation of the decimal number 128?
- 1000000
- 1010000
- 1100000
- 1110000
To convert decimal to binary, you can use repeated division by 2. 128 in binary is 10000000.
34. What is the hexadecimal representation of the binary number 101010101010?
- A5A5
- 5A5A
- FFF0
- 0101
101010101010 in binary is equivalent to A5A5 in hexadecimal.
35. How many unique values can be represented by 12 bits in binary?
- 32
- 64
- 256
- 4096
With 12 bits, you can represent 2^12 = 4096 unique values.
36. What is the decimal equivalent of the binary number 11111111?
- 127
- 255
- 511
- 1023
To convert binary to decimal, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^7 * 1) + (2^6 * 1) + (2^5 * 1) + (2^4 * 1) + (2^3 * 1) + (2^2 * 1) + (2^1 * 1) + (2^0 * 1) = 255.
37. What is the hexadecimal equivalent of the binary number 11000111?
- C7
- 7C
- 47
- 71
11000111 in binary is equivalent to C7 in hexadecimal.
38. How many bits are in a double word (DWORD)?
- 8 bits
- 16 bits
- 32 bits
- 64 bits
A DWORD is composed of 32 bits.
39. What is the binary representation of the hexadecimal number FF00?
- 111100000000
- 111111000000
- 111111110000
- 111100110000
FF00 in binary is 1111111100000000.
40. How many unique values can be represented by 10 bits in binary?
- 64
- 128
- 256
- 1024
With 10 bits, you can represent 2^10 = 1024 unique values.
41. What is the decimal equivalent of the binary number 10110101?
- 181
- 197
- 213
- 245
To convert binary to decimal, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^7 * 1) + (2^6 * 0) + (2^5 * 1) + (2^4 * 0) + (2^3 * 1) + (2^2 * 0) + (2^1 * 1) + (2^0 * 1) = 197.
42. What is the hexadecimal equivalent of the binary number 010101010101?
- 55
- AA
- 5A
- A5
010101010101 in binary is equivalent to 55 in hexadecimal.
43. How many bits are in a nibble?
- 2 bits
- 4 bits
- 8 bits
- 16 bits
A nibble is composed of 4 bits.
44. What is the binary representation of the hexadecimal number 8D?
- 10001001
- 10101101
- 11001000
- 11011000
8D in binary is 10001101.
45. How many bits are in a byte?
- 4 bits
- 8 bits
- 16 bits
- 32 bits
A byte is composed of 8 bits.
46. What is the binary representation of the decimal number 20?
- 10010
- 10100
- 11000
- 11100
To convert decimal to binary, calculate the sum of (2^n) * (bit value) for each bit position. In this case, it's (2^4 * 1) + (2^3 * 0) + (2^2 * 1) + (2^1 * 0) + (2^0 * 0) = 10100.
47. What is the hexadecimal equivalent of the binary number 11110011?
- F3
- 3F
- E3
- 33
11110011 in binary is equivalent to F3 in hexadecimal.
48. How many unique values can be represented by 14 bits in binary?
- 256
- 512
- 16384
- 32768
With 14 bits, you can represent 2^14 = 16384 unique values.
49. What is the binary representation of the hexadecimal number CAFE?
- 1100101011111110
- 1110110010101111
- 1010110011111110
- 1010110010111110
CAFE in binary is 1100101011111110.
50. How many bits are in a byte?
- 4 bits
- 8 bits
- 12 bits
- 16 bits
A byte is composed of 8 bits.