In a computer network, a device A is sending a series of 8-bit binary data packets todevice B. To ensure that the data is transmitted correctly, a parity bit is used forsimple error detection. Each 8-bit data packet is followed by a single parity bit,making it a 9-bit packet. Assume that an odd parity check is used.For each of the following 8-bit data packets, calculate the appropriate parity bit andprovide the resulting 9-bit packet:a) 11010110 ………………………………………………………………………………...………………………………………………………………………………………………[1]b) 00110011………………………………………………………………………………...………………………………………………………………………………………………[1]c) 11111100………………………………………………………………………………...………………………………………………………………………………………………[1]Explain why using a parity bit can help detect errors in these data packets.…………………………………………………………………………………………………..…………………………………………………………………………………………………..……………………………………………………………………………………………….[1]
Question
In a computer network, a device A is sending a series of 8-bit binary data packets todevice B. To ensure that the data is transmitted correctly, a parity bit is used forsimple error detection. Each 8-bit data packet is followed by a single parity bit,making it a 9-bit packet. Assume that an odd parity check is used.For each of the following 8-bit data packets, calculate the appropriate parity bit andprovide the resulting 9-bit packet:a) 11010110 ………………………………………………………………………………...………………………………………………………………………………………………[1]b) 00110011………………………………………………………………………………...………………………………………………………………………………………………[1]c) 11111100………………………………………………………………………………...………………………………………………………………………………………………[1]Explain why using a parity bit can help detect errors in these data packets.…………………………………………………………………………………………………..…………………………………………………………………………………………………..……………………………………………………………………………………………….[1]
Solution
a) For the 8-bit data packet 11010110, we first count the number of 1s. There are 5 1s. Since we are using odd parity, we want the total number of 1s in the data packet and the parity bit to be odd. Since 5 is already odd, we don't need to add another 1. So, the parity bit is 0. The resulting 9-bit packet is 110101100.
b) For the 8-bit data packet 00110011, we count the number of 1s. There are 4 1s. Since we are using odd parity and 4 is even, we need to add a 1 to make the total number of 1s odd. So, the parity bit is 1. The resulting 9-bit packet is 001100111.
c) For the 8-bit data packet 11111100, we count the number of 1s. There are 6 1s. Since we are using odd parity and 6 is even, we need to add a 1 to make the total number of 1s odd. So, the parity bit is 1. The resulting 9-bit packet is 111111001.
Using a parity bit can help detect errors in these data packets because when the data is received, the receiver can perform the same parity check. If the number of 1s in the received data packet (including the parity bit) is not odd, then the receiver knows that there was an error in transmission. This is because the parity bit was calculated to ensure that the total number of 1s would be odd. If it's not, then some bits must have been changed during transmission.
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