Hamming Code:
Hamming code is an error detection and correction technique used in digital communication systems. It allows the receiver to detect and correct errors that may occur during transmission.

Even Parity Hamming Code:
Even parity Hamming code is a type of Hamming code that uses an additional parity bit to ensure that the total number of ones in a code word is always even. This allows the receiver to detect and correct single-bit errors.

Given Code:
The given code is a 4-bit code represented as 1101. We need to convert this code into a 7-bit even parity Hamming code.

Procedure:
To convert the given 4-bit code into a 7-bit code, we need to add three parity bits to ensure even parity.

Step 1: Identify Parity Bits Positions:
In a 7-bit even parity Hamming code, the positions of the parity bits are 1, 2, and 4. These positions are determined by the power of 2 (starting from 1) where the bit positions are 2^0, 2^1, and 2^2.

Step 2: Insert Data Bits:
Insert the data bits into the remaining positions (3, 5, 6, and 7) of the 7-bit code.

The given 4-bit code 1101 can be inserted into the 7-bit code as follows:
- Position 1: Parity bit
- Position 2: Parity bit
- Position 3: Data bit (1)
- Position 4: Parity bit
- Position 5: Data bit (1)
- Position 6: Data bit (0)
- Position 7: Data bit (1)

So far, the code looks like: _ _ 1 _ 1 0 1

Step 3: Calculate Parity Bits:
Calculate the parity bits based on the data bits in their respective positions.

Parity Bit 1:
The parity bit at position 1 should be calculated based on the data bits at positions 3, 5, and 7.

The positions involved in the calculation of parity bit 1 are 3, 5, and 7. The bits at these positions are 1, 1, and 1, respectively. Since the total number of ones is 3 (odd), the parity bit 1 should be 0 to ensure even parity.

Parity Bit 2:
The parity bit at position 2 should be calculated based on the data bits at positions 3, 6, and 7.

The positions involved in the calculation of parity bit 2 are 3, 6, and 7. The bits at these positions are 1, 0, and 1, respectively. Since the total number of ones is 2 (even), the parity bit 2 should be 1 to ensure even parity.

Parity Bit 4:
The parity bit at position 4 should be calculated based on the data bits at positions 5, 6, and 7.

The positions involved in the calculation of parity bit 4 are 5, 6, and 7. The bits at these positions are 1, 0