Question

Convert from binary to hex:
a. 1100101000111111
b. 111100100011000.001111110101

Answer 1

To convert from binary to hexadecimal, group the binary digits into groups of 4 and convert each group to its corresponding hexadecimal value.

Step-by-step explanation:

To convert from binary to hexadecimal, we can group the binary digits into groups of 4 and then convert each group to its corresponding hexadecimal value. Here are the conversions for the given numbers:

a. 1100101000111111

We group the digits as follows: 1100 1010 0011 1111. Converting each group to hexadecimal gives us: C A 3 F. Therefore, the binary number 1100101000111111 is equivalent to the hexadecimal number CA3F.

b. 111100100011000.001111110101

We group the digits as follows: 1111 0010 0011 0000.0011 1111 0101. Converting each group to hexadecimal gives us: F 2 3 0.3 F 5. Therefore, the binary number 111100100011000.001111110101 is equivalent to the hexadecimal number F230.3F5.