Question

What is the hexadecimal representation of each of the following binary numbers?

a. 1100 1111 0101 0111
b. 0101 1100 1010 1101
c. 1001 0011 1110 1011

Answer 1

To convert binary to hexadecimal, group the binary digits into sets of four, then convert each group to the corresponding hexadecimal value. The converted numbers are a. CF57, b. 5CAD, and c. 93EB.

Step-by-step explanation:

To convert binary numbers to hexadecimal, group the binary digits into sets of four (starting from the right), since each hexadecimal digit represents four binary digits. Then convert each group to its hexadecimal equivalent.

1. Group the binary digits as follows:
2. Convert each 4-bit binary group to its hexadecimal equivalent:
   • a. 1100(12-C) 1111(15-F) 0101(5-5) 0111(7-7) ➔ CF57
   • b. 0101(5-5) 1100(12-C) 1010(10-A) 1101(13-D) ➔ 5CAD
   • c. 1001(9-9) 0011(3-3) 1110(14-E) 1011(11-B) ➔ 93EB

Therefore, the hexadecimal representations are:

• a. CF57
• b. 5CAD
• c. 93EB