Binary to Hexadecimal Conversion Quiz

To convert the binary number 1010 to hexadecimal, group the binary digits into sets of four, starting from the right. Here, 1010 corresponds to the decimal value 10. In hexadecimal, the decimal number 10 is represented by the letter A. Thus, 1010 in binary equals A in hexadecimal.

To convert the binary number 11111111 to hexadecimal, group the binary digits into sets of four, starting from the right: 1111 1111. Each group corresponds to a hexadecimal digit; 1111 in binary equals F in hexadecimal. Therefore, 11111111 in binary is equal to FF in hexadecimal.

To convert the binary number 10010110 to hexadecimal, first group the binary digits into pairs from the right: 10 01 01 10. Then, convert each pair to its hexadecimal equivalent: 10 is 2, 01 is 1, 01 is 5, and 10 is 2. This results in 0x96 in hexadecimal, which is 96.

To convert the binary number 1100 to hexadecimal, group the binary digits into sets of four, starting from the right. The binary 1100 corresponds to the decimal value 12. In hexadecimal, the numbers 10 to 15 are represented by the letters A to F, so 12 is represented as C.

Each hexadecimal digit can represent 16 different values (0-15). In binary, 4 digits (bits) can represent 2^4 = 16 values. Therefore, 4 binary digits are required to uniquely represent each hexadecimal digit.

To convert the binary number 11010011 to hexadecimal, group the binary digits into sets of four, starting from the right: 1101 and 0011. The binary 1101 corresponds to the hexadecimal digit D, and 0011 corresponds to 3. Therefore, combining these gives the hexadecimal representation D3.

To convert the binary number 10101010 to hexadecimal, group the binary digits into sets of four, starting from the right: 1010 and 1010. Each group converts to the hexadecimal digit A (10 in decimal). Therefore, the complete hexadecimal representation is AA.

To convert the binary number 0111 to hexadecimal, group the binary digits into sets of four, starting from the right. Here, 0111 corresponds to the decimal number 7. In hexadecimal, 7 is represented as '7', making the conversion straightforward. Thus, 0111 in binary equals 7 in hexadecimal.

To convert the binary number 11110000 to hexadecimal, group the binary digits into sets of four, starting from the right: 1111 and 0000. The binary 1111 corresponds to the hexadecimal digit F, and 0000 corresponds to 0. Therefore, the binary 11110000 equals F0 in hexadecimal.

The binary number 1011 corresponds to the decimal value 11. In the hexadecimal system, numbers 10 and 11 are represented as A and B, respectively. Therefore, the binary representation of the hexadecimal digit B is 1011.

To convert the binary number 10001111 to hexadecimal, first group the binary digits into sets of four, starting from the right: 1000 and 1111. The binary 1000 corresponds to the hexadecimal digit 8, and 1111 corresponds to F. Therefore, combining these gives the hexadecimal representation 8F.

To convert the binary number 1001 to hexadecimal, group the binary digits into sets of four, starting from the right. The binary 1001 corresponds to the decimal value 9. In hexadecimal, the decimal number 9 is represented by the same digit, thus the binary 1001 equals 9 in hexadecimal.