Convert the binary number 1010 0111 1100 0101 to hexadecimal.

To convert the binary number 1010 0111 1100 0101 into hexadecimal, it's important first to break down the binary number into manageable groups since each hexadecimal digit corresponds to four binary digits (bits). The given binary number can be segmented as follows:

• 1010

• 0111

• 1100

• 0101

Each of these groups can be converted to its hexadecimal equivalent:

1. 1010: The binary value 1010 corresponds to 10 in decimal, which is represented as 'A' in hexadecimal.

2. 0111: The binary value 0111 corresponds to 7 in decimal, which remains '7' in hexadecimal.

3. 1100: The binary value 1100 corresponds to 12 in decimal, which is represented as 'C' in hexadecimal.

4. 0101: Finally, the binary value 0101 corresponds to 5 in decimal, which remains '5' in hexadecimal.

Combining these hexadecimal values together, we get A7C5. This confirms that the binary number 1010 0111 1100 0101 translates correctly into the hexadecimal value A7C5.