Show how the decimal floating point number -76.310 is stored in the computer's storage using IEEE754 32-bit single precision format. Assume "0" represents positive sign and "1" represents negative sign. Show your conversion steps clearly.
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- 1b) Assuming that decimal numbers can be represented using 8-bits binary, express the decimal number -117 using binary number system as shown in Table Q1(a). Show the steps accordingly.a) How is the number 42.5 represented in memory as a single precision floating point number, represent it in hexadecimal format? b) How is the number 18.25 represented in memory as a single precision floating point number, show it in hexadecimal format?9. Show how the text ‘HelloW’ will be stored in computer using 7-bit ASCII standard. You will need to consult the ASCII table. 10. Fill in the following addition table for base 3.
- 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.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)…Kindly answer the following questions. d. How are the ASCII codes for the decimal digits obtained? What is the relation between the ASCII codes for the capital letters and lowercase letters?
- Average of Three Compute the floating-point average of the values in the variables num1, num2, and num3. Assume these variables already contain values. Store the result in the variable avg.Work on the following questions: 1. Convert the following decimal numbers into binary (show the steps): i) 75, ii) 64, iii) 10234), in the floating-point number, when the absolute value of the data is too large, so that it is larger than the data can be expressed, called floating-point number _________________________________ .
- 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!!Perform the following additions and subtractions. Assume the numbers are stored in hexadecimal representation. (Explain step by step.) a. 74F – D63ECreate an unsigned 16-bit number that stores the value 13330 (decimal). Show what the memory contains and work verifying the result. Create a signed 16-bit number and store the value -32 (decimal). Show what the memory contains and work verifying the result.