What is the hexadecimal representation of the binary number \(10110111_2\)?
Step-by-step Solution:
To convert a binary number to hexadecimal, we group the binary digits into sets of four, starting from the right. Binary: 1011 0111 - The first group is 1011. In decimal, this is \(1*8 + 0*4 + 1*2 + 1*1 = 11\). In hexadecimal, 11 is represented as B. - The second group is 0111. In decimal, this is \(0*8 + 1*4 + 1*2 + 1*1 = 7\). In hexadecimal, this is 7. So, \(10110111_2 = B7_{16}\).