Final answer:
The hexadecimal representations for the binary numbers 0011 0101 1101 1010, 1100 1110 1010 0011, and 1111 1110 1101 1011 are 35DA, CE23, and FEDB, respectively. This conversion is achieved by grouping the binary digits into sets of four and then converting each group to its hexadecimal equivalent.
Step-by-step explanation:
The hexadecimal representation of a binary number is obtained by grouping the binary digits into sets of four (from right to left) and then converting each group into the corresponding hexadecimal digit. Here are the conversions for the given binary numbers:
- a) 0011 0101 1101 1010 in binary equals 35DA in hexadecimal.
- b) 1100 1110 1010 0011 in binary equals CE23 in hexadecimal.
- c) 1111 1110 1101 1011 in binary equals FEDB in hexadecimal.
Each group of four binary digits (a nibble) corresponds to a single digit in hexadecimal, with values ranging from 0 to F. Using this method ensures a straightforward conversion from binary to hexadecimal representation.