Hexadecimal and Binary Conversion

Hexadecimal and binary are two different number systems used to represent numbers. Hexadecimal is a base-16 number system, while binary is a base-2 number system. In this question, we are given a binary number 110000111101 and we are asked to convert it into a hexadecimal number.

Steps to Convert Binary to Hexadecimal:

1. Group the binary number into groups of 4 digits from right to left. If the number of digits is not a multiple of 4, add leading zeros to make it a multiple of 4.
- In this case, the binary number is 110000111101. Grouping into 4 digits, we have 0011 0000 1111.

2. Convert each group of 4 binary digits into its hexadecimal equivalent.
- The hexadecimal digits range from 0 to F, where F represents 15. The binary equivalents for each hexadecimal digit are as follows:
- 0000 = 0
- 0001 = 1
- 0010 = 2
- 0011 = 3
- 0100 = 4
- 0101 = 5
- 0110 = 6
- 0111 = 7
- 1000 = 8
- 1001 = 9
- 1010 = A
- 1011 = B
- 1100 = C
- 1101 = D
- 1110 = E
- 1111 = F

3. Combine the hexadecimal digits obtained from step 2 to get the final hexadecimal number.
- From step 2, the hexadecimal equivalents for the groups are: 0011 = 3, 0000 = 0, 1111 = F.
- Combining them, we get the hexadecimal number as 30F.

Therefore, the binary number 110000111101 corresponds to the hexadecimal number 30F. Among the given options, option 'D' (C3D) is the correct answer.