5. Show how each of the following signed, decimal integers would be stored in 8-bit two's complement code. Give your answer in hexadecimal. a. +100 C. -10 b. d. -1 +88 16
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- H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625Please slove and show all work and steps. Write down the binary representation of the decimal number 63.75, assuming the IEEE 754 double precision format.What decimal value does the 8-bit binary number 10101110 have if: a) it is interpreted as an unsigned number? b) it is on a computer using signed-magnitude representation? c) it is on a computer using one's complement representation? d) it is on a computer using two's complement representation? e) it is on a computer using excess-127 representation?
- 1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.1. Find the value of these unsigned numbers, and convert them to binary representation a. (12EFB35C)16 = (?) 2
- A. How many bits are needed to represent 214(octal) in binary?B. Show the 2’s complement binary (10 bits) representation of (-246)(10)C. Convert the following 2’s complement binary number to decimalrepresentation:10010010i) The 8-bit binary (two’s-complement) conversion of the signed decimal integer -128 is what? ii) The hexadecimal representation of the binary number 1111 1101 1010 0011 0101 is?Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) Question: if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal? Please answer based on given numbers.
- In a particular computer system, real numbers are stored using floating-point representation with:• 10 bits for the mantissa• 6 bits for the exponent• two’s complement form for both mantissa and exponent. (a) Calculate the normalised floating-point representation of +192.5 in this system. Show your working.Please solve and show all work. Thank you. Write down the binary representation of the decimal number 63.75, assuming the IEEE 754 single precision format.6. Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 (not 16 as in the textbook), a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation.