A voice having $3,4KHz$ frequency is recorded as digitally by using PCM encoding has $20$ minutes$-$length. It occupies $15,56$ MByte in the computer If minimum amount of sampling is used in digitizing the signal, how many bits are used for each sample. Prove it$.(15$ p$)$

In a communication, sent and received data are given below. For error detection $2$D Parity is used. Discuss the possibility of error detection and correction of this data. $($Note: You select dimensions as you like$)(20$ p$)$

SENT DATA: $,110101011110110011101000$

RECEIVED DATA: $101110011110101000101000$

In a data transmission Hamming Codding is used for data correction. $k=2$ and the following codewords are valid codewords. Answer the following questions regarding to this codding.

a$.$ How many bits error can be detected and corrected by this codding? Why? Prove it $(15$ p$)$

b$.$ What will be the decision of the receiver if it receives data as $01101001?$ Why? $(10$ p$)$