51. Show how each of the following floating-point values would be stored using IEEF.754 single precision (be sure to indicate the sign bit, the exponent, and the significand fielde a) 12.5 b) -1.5 101 C) 0.75 d) 26.625
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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 the order of individual bytes in memory (lowest to highest) for the following doubleword variable:val1 DWORD 87654321hCreate a 4-bit by 3-bit binary multiplier that multiplies a 4-bit number by a 3-bit number. Note: The 4-bit number should be the multiplicand and the 3-bit number should be the multiplier.
- 26. When using the Big Endian assignment to store a number, the sign bit of the number is stored in _____ . a. The higher order byte of the word b. The lower order byte of the word c. Can’t say d. None of the aboveShow 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.Write down the bit pattern in the fraction of value 1/3 assuming a floating point format that uses binary numbers in the fraction. Assume there are 24 bits, and you do not need to normalize. Is this representation exact?
- 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.Write down the bit pattern in the fraction of value1/3 assuming a floating point format that uses Binary Coded Decimal (base 10) numbers in the fraction instead of base 2. Assume there are 24 bits, and you do not need to normalize. Is this representation exact?Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format. Calculate 185 122. Is there overfl ow, underfl ow, or neither? Please type answer no write by hend.
- Use base 10 blocks to model the number 0.286 in two different ways. Using decimal place values key..Find the largest and smallest byte, short, int, long, float, and double. Which of these data types requires the least amount of memory?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