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Perform the following calculations and list the flag status for Z,V,N, and C
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- Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code, find the code word to represent the 10-bit information word: 1001100110. 22. Using the CRC polynomial 1101, compute the CRC code word for the information word, 01001101. Check the division performed at the receiver.Show Steps Please 21. Suppose we want an error-correcting code that will allow all single-bit errors to be correctedfor memory words of length 10. a) How many parity bits are necessary? b) Assuming we are using the Hamming algorithm presented in this chapter to design ourerror-correcting code, find the code word to represent the 10-bit information word:1001100110.It is necessary to formulate the Hamming code for four data bits, D3, D5, D6, and D7, together with three parity bits, P1, P2, and P4.1. Evaluate the 7-bit composite code word for the data word 0010.2. Evaluate three check bits, C4, C2, and C1, assuming no error.3. Assume an error in bit D5 during writing into memory. Show how the error in the bit is detected and corrected.4. Add parity bit P8 to include double-error detection in the code. Assume that errors occurred in bits P2 and D5. Show how the double error is detected.
- A. Write the binary representation of number 1173.379 in IEEE 754 standard in single precision.Express the result in binary, oct, and hex formats. B. Write the binary representation of number 75.83 in IEEE 754 standard in double precision. Expressthe result in binary, oct, and hex formats. C. Register f3 contains the 32-bit number 10101010 11100000 00000000 00000000. What is thecorresponding signed decimal number? Assume IEEE 754 representation.1. Assume numbers are represented in 8-bit two's complement Show the calculation of the following: a) 5 + 10 b) 5 – 10 c) -5 + 10 d)-5 – 10 2. Represent the following decimal numbers or values according to the given requirements: a) +4 in both binary sign/magnitude and two's complement b) -6 in both binary sign/magnitude and two's complement c) -85 in two's complement d) +52 in two's complement 3. Find the following differences using twos complement arithmetic: a) 001000 – 110111 b) 10100101 – 011110 c) 100100001011 – 101010110011 d) 10011011 – 10100101Consider the following addition problems. Please first convert each decimal number into eight-bit twos-complement notation, perform the addition in twos-complement notation, then convert the results back to decimal numbers. Identify each case in which the answer is incorrect because of overflow. 23+45 23-45 -23-45 200+100
- Complete the following arithmetic operations in two's complement representation. What are the values of the carry and overflow flag? Assume a six-bit system. 3 + 21 = ?Assume -102 and -76 are signed 8-bit decimal integers. Calculate -102 + (- 76).and -102 - (- 76). Do we have overflow or underflow after each operation? Why?Perform the following conversions. Assume that 8 bits are used. a. Convert the decimal -24 to binary. b. Convert the hexadecimal 4B to decimal. c. Add binary 00001011 to binary 00101111 and provide the result in binary. d. Convert the answer in part c to decimal.
- 8. Perform the following additions. Assume that all numbers are in 8-bit 2’s complement notation. State the carry-in and carry-out, whether overflow or not, and if the result is correct. c. 10011001 +101110111. List the octal and hexadecimal numbers from (16)10 to (32)10.2. Convert the following numbers with indicated bases to decimal.(a) (4310)5(b) (123)8(c) (2F A)16(d) (212)33. What is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.4. Determine the base of the numbers for the following operation to be correct: 54/4 = 135. Convert the hexadecimal number 68BE to binary, and then convert it from binary to Octal.6. Convert the decimal number 431 to binary in two ways:(a) Convert directly to binary.∗Engr. Sheraz Ali Khan, PhD 1 (b) First convert it into hexadecimal and then from hexadecimal to binary. Which is faster in youropinion?7. Express the following numbers in decimal:(a) (10110.0101)2(b) (26.24)8(c) (F AF A.B)168. Solve the following conversion problems:(a) Convert the decimal number 27.315 to binary.(b) Calculate the binary equivalent of 2/3 to eight places after the binary point.…Please find 1.25's corresponding bit pattern as stored in memory in hexadecimal! And show the steps because i dont know how to find hexadecimal with a floating point number.