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Consider these two decimal numbers: -112.15625, +183.515625. Show the two numbers in the normalized form. Convert...
Q1) Convert the following negative decimal numbers to 8 bit binary using the 2’s complement (show the steps): a) -39 b) -127 Q2) Solve the following subtraction problems using 2's complement representation. (Show the steps using 8-bits) a) 19 – 87 b) 89 – 5 Q3) Convert the following numbers into scientific notation: (Note: to show ten raised to the power of n, you can type as 10^n) a) 654.345 b) 0.000000324235 c) 25600000000000 Q4) Convert the following numbers out...
Convert the decimal numbers A and B to 5-bit binary numbers. Using two’s complement representation, show (i) how to subtract the two 5-bit binary numbers (A−B); (ii) how to translate the binary result back to decimal
1. Convert the binary number 10101102 to octal, decimal, and hexadecimal numbers. 2. Convert the decimal number 236.7510 to binary,octal, and hexadecimal numbers. 3. Add the following two binary numbers: 100111102 and 011110112. Remember to show any carries that are generated along the way. 4. Repeat the previous question, but this time subtract the second binary number from the first. Remember to show any borrows that are required along the way. 5. Determine the encoding of the decimal number 28610...
6. The exponent in IEEE format floating point numbers are not represented in 2's complement format. Why not? What number is indicated if the value stored in the exponent is zero? What exponent and fraction are used to represent "not-a-number"? 7. This question deals with two numbers in IEEE format (A - 0x3F400000, B 0x3DB00000 (a) Calculate A+B using the floating-point addition procedure discussed in class. Determine the single precision result and express your answer in IEEE floating-point format. Convert...
Answer the following Questions Question 1 Convert the followings: [a, b, c and d: 1 mark each; e: 3 marks. Total 7 marks] a. 0x2ED1 to Binary b. −29.6610 to Binary c. 1001111001102 to Hexadecimal d. 11101110 (8-bit 2’s complement representation) to decimal e. A computer stores the following using the IEEE754 single precision format. What value in decimal it is representing for: 1 01111110 11000000000000000000000
Given two numbers in decimal form, 192 and 85, convert both to binary, then add them together in binary. Why is the result not 277? Show steps please. Trying to learn
Convert the IEEE 754 single-precision floating-point number 8000000F16 to binary expressed in normalized scientific notation. Hint 8000000F16 is a denormalized number. Please show steps.
5 Convert the following binary numbers to decimal form: (a) 110011 (b) 101.1101 (c) 0.1000001 (c) 0.1000001 (d) 1010101010101 6) Convert the following decimal numbers to binary format (a) 366 (b) 4.25 (c) 1/6
(3 pts) Consider an unsigned fixed point decimal (Base10) representation with 8 digits, 5 to the left of the decimal point and 3 to the right. a. What is the range of the expressible numbers? b. What is the precision? c. What is the error? ______________________________________________________________________________ (3 pts) Convert this unsigned base 2 number, 1001 10112, to each base given below (Note: the space in the binary string is purely for visual convenience) Show your work. Using...
implement two functions in c++ format 1.Convert decimal number to floating point representation (hexa decimal) 2.Convert floating point representation (hexa decimal) to decimal number Note: We only care about the floating point number in IEEE754 Encoding table below (i.e., exponent 1 – 254). ----------------------------------------------------------------------------------------------------------------- void from_decimal_to_floating(){ char number[10]; float decimal = 0; cout << "Input decimal to convert a hexa decimal number (e.g., 0.4375): "; cin >> decimal; //write the code here //end of code cout << decimal << "'s...