The high-speed transport protocol XTP (Xpress Transfer Protocol) uses a 32-bit checksum function defined as the concatenation of two 16-bit functions: XOR and RXOR are illustrated in Figure 6.10. The XOR function calculates the column parity.

RXOR is a diagonal parity check, achieved by rotating each successive 16-bit word in the data block one bit and then performing a bitwise XOR.

a. Will this checksum detect all errors caused by an odd number of error bits?

Explain.

b. Will this checksum detect all errors caused by an even number of error bits? If not, characterize the error patterns that will cause the checksum to fail.