Fundamentals of Binary system and hexadecimal notation MCQs

The binary number system is base-2, which means it uses only two digits, 0 and 1.

With 4 bits, you can represent 2^4 = 16 unique values.

The binary number 1101 is equivalent to the hexadecimal digit D.

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.

A single hexadecimal digit represents 4 bits.

In hexadecimal, A represents 10. So, 1A in hexadecimal is equivalent to 16 + 10 = 26 in decimal.

With 8 bits, you can represent 2^8 = 256 unique values.

To convert decimal to binary, you can use repeated division by 2. 42 in binary is 101010.

11110000 in binary is equivalent to F0 in hexadecimal.

A byte is composed of 8 bits.

In binary addition, 1 + 1 results in 10 (binary), which is 2 in decimal.

With 3 bits, you can represent values from 0 to 7.

255 in decimal is equivalent to FF in hexadecimal.

A nibble is composed of 4 bits.

B3 in binary is 10110011.

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.

The binary number 1111 is equivalent to the hexadecimal digit F.

A DWORD is composed of 32 bits.

5A in binary is 01011010.

With 16 bits, you can represent 2^16 = 65536 unique values.

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.

10100111 in binary is equivalent to A7 in hexadecimal.

A nibble is composed of 4 bits.

FFFF in binary is 1111111111111111.

In most modern computer architectures, a word is composed of 32 bits.

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.

11011010 in binary is equivalent to DA in hexadecimal.

With 6 bits, you can represent 2^6 = 64 unique values.

9F in binary is 10011111.

A byte is composed of 8 bits.

11101000 in binary is equivalent to E8 in hexadecimal.

A nibble is composed of 4 bits.

To convert decimal to binary, you can use repeated division by 2. 128 in binary is 10000000.

101010101010 in binary is equivalent to A5A5 in hexadecimal.

With 12 bits, you can represent 2^12 = 4096 unique values.

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.

11000111 in binary is equivalent to C7 in hexadecimal.

A DWORD is composed of 32 bits.

FF00 in binary is 1111111100000000.

With 10 bits, you can represent 2^10 = 1024 unique values.

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.

010101010101 in binary is equivalent to 55 in hexadecimal.

A nibble is composed of 4 bits.

8D in binary is 10001101.

A byte is composed of 8 bits.

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.

11110011 in binary is equivalent to F3 in hexadecimal.

With 14 bits, you can represent 2^14 = 16384 unique values.

CAFE in binary is 1100101011111110.

A byte is composed of 8 bits.