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- Answer the following short questions briefly. Convert the following decimal integers into binary, octal, and hexadecimal:(a) 23, (b) 107, (c) 1238 (d) 92 (e) 173 Convert the following BCD numbers (assume that these are packed numbers) to decimal numbers:(a) 10001001, (b) 00001001(c) 00110010, (d) 00000001 Convert the following decimal numbers into both packed and unpacked BCD forms:(a) 102, (b) 44(c) 301, (d) 1000 Convert the following decimal numbers into 8-bit signed binary numbers:(a) +32, (b) -12 (c) +100 Convert the following binary numbers to the two’s complement form:(a) 1000 0001, (b) 1010 1100(c) 1010 1111, (d) 1000 0000 Find the memory address of the next instruction executed by the microprocessor, when operated in the real mode, for the following CS:IP combinations:(a) CS = 1A00H and IP = B000H(b) CS = 2300H and IP = 1A00H(c)…Show Steps Please 19. Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number): a) Show how the computer would represent the numbers 100.0 and 0.25 using this floating-point format. b) Show how the computer would add the two floating-point numbers in part a by changing one of the numbers so they are both expressed using the same power of 2. c) Show how the computer would represent the sum in part b using the given floating-point representation. What decimal value for the sum is the computer actually storing? Explain.Translate the following LEGv8 code to C. Assume that the variables f, g, h, i, and j are assigned to registers X0, X1, X2, X3, and X4, respectively. Assume that the base address of the arrays A and B are in registers X6 and X7, respectively. ADDI X9, X6, #8 ADD X10, X6, XZR STUR X10, [X9, #0] LDUR X9, [X9, #0] ADD X0, X9, X10
- 5. Assume the simple floating point model (i.e., 14-bits of storage) correctlya. How would we represent the numbers 67.25 and 47.98?b. Add the two numbers together. Show the calculation and the final format ofthe result. PS: Please do them in a word processor not hand-written!10. Fill in the following addition table for base 3.+ 0 1 201211. Identify the following statements as TRUE OR FALSE. a) BCD stands for Binary Coded Decimal and encodes each digit of a decimal number to an 8-bit binary form. b) Unicode is a 16-bit code, occupying twice the disk space for text as ASCII or EBCDIC would require. c) A signed-magnitude integer representation includes more negative numbers than it does positive ones. d) A byte is 8 bits, but a word may vary in size (16-bits, 32-bits, etc.) from one architecture to another. e)The largest value that a 60-bit unsigned binary integer can represent is (260-1). f) A 2's complement integer representation includes more negative numbers than it does positive ones.Translate the following LEGv8 code to C. Assume that the variables f, g, h, i, and j are assigned to registers X0, X1, X2, X3, and X4, respectively. Assume that the base address of the arrays A and B are in registers X6 and X7, respectively. ADDI X9, X6, #8
- 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.(Practice) a. Using Figure 2.14 and assuming the variable name rate is assigned to the byte at memory address 159, determine the addresses corresponding to each variable declared in the following statements. Also, fill in the correct number of bytes with the initialization data included in the declaration statements. (Use letters for the characters, not the computer codes that would actually be stored.) floatrate; charch1=M,ch2=E,ch3=L,ch4=T; doubletaxes; intnum,count=0; b. Repeat Exercise 9a, but substitute the actual byte patterns that a computer using the ASCII code would use to store characters in the variables ch1, ch2, ch3, and ch4. (Hint: Use Appendix B.)
- Question 6 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following 8-bit two’s complement binary values to decimal. i) 10110111(base 2) ii) 01001101(base 2) iii) 11010111(base 2) iv) 01110111(base 2) c) Discuss the differences between static RAM and dynamic RAMTranslate the following MIPS code to C. Assume that the variables f, g, h, i, and jare assigned to registers $s0, $s1, $s2, $s3, and $s4, respectively. Assume that the baseaddress of the arrays A and B are in registers $s6 and $s7, respectively and that A and B are arrays of words. addi $t0, $s6, 4lw $t0, 0($t0)add $t0, $t0, $t0sw $t0, 0($s6)MCQS the following? 1) .The number of bytes required to store single precision floating point numbers is a) 2 b) 4 c) 8 d) 16 2) The number of bytes required to store the variable "a", where a = [4 , 6 , -8, 13], would be a) 4 b) 8 c) 16 d) 32 e) 64