Subjects information theory

Parity Bit A9E0C0

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Parity Bit A9E0C0


1. The problem is to complete the channel encoded message by adding a parity bit to the source encoding. 2. The parity bit is added to ensure the total number of 1s in the channel encoding is even (even parity). 3. For each source encoding, count the number of 1s: - ALLY: 0000 has 0 ones (even), so parity bit = 0, channel encoding = 00000 - ENEMY: 0111 has 3 ones (odd), parity bit = 1 to make total even, channel encoding = 01111 - ATTACK: 1000 has 1 one (odd), parity bit = 1, channel encoding = 10001 - RETREAT: 1110 has 3 ones (odd), parity bit = 1, channel encoding = 11101 - SURRENDER: 1011 has 3 ones (odd), parity bit = 1, channel encoding = 10111 4. The parity bit is appended at the end of the source encoding to form the channel encoding. 5. Final channel encodings are: ALLY: 00000 ENEMY: 01111 ATTACK: 10001 RETREAT: 11101 SURRENDER: 10111