13) All digital systems that perform arithmetic operations must indicate and for numbers. A) magnitude, base B) size, base C) sign, base D) sign, magnitude 14) The 2's complement of binary 110110 is A) 001001 B) 001010 C) 110100 D) 101010 15) Decimal 42 is equivalent to binary A) 101010 B) 01000010 C) 2A D) 52
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- 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.1. Write down the mathematical notation for fixed point representationand floating representation and also explain each term. 2. Consider the following machine number in 64 bit and Precisely represent the above machine number in decimal digits. 0 10000000011 10111001000100000000000000000000000000000000000000005. 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.2. Convert the following binary numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.a. 110110.011011b. −1.1111001c. 0.1100×236d. 0.1100×2−36Question 7 The Hexadecimal Representation for each of the following Binary number 10101101 Group of answer choices AD 173 DA none of them Question 8 The hexadecimal number 43 53 can be interpreted as representing a decimal number _________ or a pair of ASCII codes _________. Group of answer choices 17325 CS 17245 CS 17235 CS none of them Question 9 Assume that EBX and ECX have the following values EBX: FF FF FF 75 ECX: 00 00 01 A2 After the execution of the instruction ADD EBX, ECX The Value in ECX is _________ Group of answer choices 000001A2 00000117 FFFFFF75 none of them
- 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 nor in a JPEG screenshot Format!!D. What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers?I) 65II) 409III) 16385Question 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 RAM
- 47 by -18 (integers in decimal (base 10)). Q1 : What is the remainder of the division in FP decimal representation (i.e., if rem=53 then its FP decimal representation is 53.0)? What is the resulting number if you shift it three digits to the right of the decimal point? Express your shifted result as a single precision FP number using the IEEE 754 standard for single precision. YOU MUST FIRST CONVERT THE NUMBER FROM BASE 10 to BASE 2 and then do normalization etc. Do not calculate more than the first 8 fraction bits.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 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.