Question

Convert from hex to binary:
a. AA23
b. DB23.879A

Answer 1

Hexadecimal to binary conversion involves representing each hex digit by its equivalent four-bit binary code. For example, 'AA23' in hex is '1010101000100011' in binary, and 'DB23.879A' is '1101101100100011.1000100101111010' in binary.

Step-by-step explanation:

To convert from hexadecimal to binary, each hexadecimal digit needs to be represented by its four-bit binary equivalent. Using this method, we will convert the given hex numbers to binary:

• a. AA23: To convert 'AA23' from hex to binary, write each hexadecimal digit as its binary equivalent: A (1010), A (1010), 2 (0010), 3 (0011). So, 'AA23' in binary is 1010101000100011.
• b. DB23.879A: Converting 'DB23.879A' involves both the integer and fraction parts separately. D (1101), B (1011), 2 (0010), 3 (0011) for the integer part; and 8 (1000), 7 (0111), 9 (1001), A (1010) for the fraction. Therefore, 'DB23.879A' in binary is 1101101100100011.1000100101111010.