The hexadecimal equivalent is B9.
Working:
1. Split the 8-bit binary number into two 4-bit nibbles: 1011 and 1001.
2. Convert the left nibble (1011) to decimal: 8 + 2 + 1 = 11. In hexadecimal, 11 is represented by the letter B.
3. Convert the right nibble (1001) to decimal: 8 + 1 = 9. In hexadecimal, 9 is represented by the number 9.
4. Combine the two hexadecimal digits: B9.
To convert binary to hexadecimal, you group the binary digits into sets of four (called nibbles), starting from the right.
1. The binary number is 10111001.
2. Split into two nibbles: `1011` and `1001`.
3. Convert the first nibble `1011`: The place values are 8, 4, 2, 1. So, (1*8) + (0*4) + (1*2) + (1*1) = 11. The decimal number 11 is represented by the character 'B' in hexadecimal.
4. Convert the second nibble `1001`: The place values are 8, 4, 2, 1. So, (1*8) + (0*4) + (0*2) + (1*1) = 9. The decimal number 9 is represented by '9' in hexadecimal.
5. Combine the results to get the hexadecimal number: B9.
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