(a) Convert the base ten integers: 99 and 250 to 8-bit binary numbers. (b) What is the largest…

(a) Convert the base ten integers: 99 and 250 to 8-bit binary numbers. (b) What is the largest base ten integer that can be converted to an 8-bit binary number? 4) (a) Convert the base ten fractions: 0.2, 0.21, and 0.91 to 8-bit binary fractions. (b) What is the smallest base ten fraction that can be converted to an 8-bit binary fraction without error? 5) (a) Give the ASCII codes for the integers: 0 to 9 in base ten and in binary. (b) Give the base ten ASCII codes for the name MATLAB. Then, use the function char to obtain the character string, MATLAB, given a vector of its base ten ASCII codes. 6) The standard ASCII code uses 7 bits per code. However, each code is stored as a byte, leaving the eighth bit unused. A useful purpose for the eighth bit is transmission error checking. One possibility is to count the number of ones in a given ASCII code, and if it is odd(even), make the eighth bit logic one(zero). Therefore, every byte will have an even number of ones. This is called even parity, and the eighth bit is called the parity bit, denoted by P. When this byte is transmitted, the receiver can count the number of ones, and if the number of ones is not even, then a transmission error must have occurred, prompting the receiver to transmit to the sender an ASCII code which means to request a retransmission of the previously transmitted byte. An alternative to even parity is odd parity, where the eighth bit is logic one(zero) to make the total number of ones in a byte an odd number. The parity bit method of transmission error detection assumes that the probability of two transmission errors is very small compared to the probability of one transmission error. To both generate a parity bit and detect correct parity, the circuit given in Fig. can be used. Given is a 7-bit ASCII code d6d5d4d3d2d1d0. To generate a parity bit, set the inputs of the parity generator a6a5a4a3a2a1a0 to the ASCII code. Use the input a7 to select either even or odd parity. Then, P is used as the eighth data bit d7. For parity detection, another parity generator is used to receive the eight data bits d7 … d0, and the output P detects correct parity. Write a MATLAB program to investigate the operation of this circuit for parity bit generation. Try different ASCII codes, and find out how to select a7 for even or odd parity. Then, your program should check parity by finding P given a byte that contains an ASCII code and a parity bit. Explain how the parity generator works as an even or odd parity checker. Give P to check odd and even parity.

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