What are the 16-bit 1’s and 2’s complements of the following binary numbers? a. 10000 b. 100111100001001 c. 0100111000100100 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. 110110.011011 b. −1.1111001 c. 0.1100×236 d. 0.1100×2−36

What are the 16-bit 1’s and 2’s complements of the following binary numbers? a. 10000 b. 100111100001001 c. 0100111000100100 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. 110110.011011 b. −1.1111001 c. 0.1100×236 d. 0.1100×2−36

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter8: Data And Network Communication Technology

Section: Chapter Questions

Problem 31VE

See similar textbooks

Similar questions

A(n) __________ is an integer stored in double the normal number of bit positions.
1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
I need help with the attached question
Assume that a mad scientist designed a new floating point binary format. In his design, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph 三Y= Add
a) Determine the 32-bit binary representation for floating point numbers in the form± I.F x be where I is the interger part,F is the fraction,b is the base, ande is the exponent.Using this format, represent the number -1.00011011101 x 225 as a 32 bit floating point number. b) During the process of digital sampling, data can be lost due to aliasing. Analyse this problem and provide at least two possible solutions. Also, determine the rate at which a signal should be sampled, if the highest frequency is 60MHz. c) In your own words, discuss the relationship between the hexadicimal number system and the binary number system. Use this relationship to convert the following hexadecimal values to binary.i) 5BC916 ii) 6EF816 iii) 8A4D16 iv) 9ED516
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. 110110.011011 b. -1.1111001 c. 0.1100×236 d. 0.1100×2-36
Why are floating points represented in binary using the method of mantissa and exponent? Highlight the consequences of this representation. 1(a) (i) Your binary representation has a 5 bit exponent and 11 bit mantissa. What is the decimal number -0.0062 in this representation? State the basis of your representation, i.e. whether you use a bias or a sign bit in the exponent, and whether you have a hidden bit in the mantissa. (ii)
11] Encode Decimal '127 7/8' into Fixed Point Binary. Express your answer in Hex. 12] Encode Decimal '-92 13/32' into IEEE 754 Floating Point. Express your answer in Hex.
Perform floating points binary arithmetic addition on the following binary numbers as represented in a non- standard form. Assume 4 binary digits for significand A 1 bit 8 bits 9 bits + 1 bit 8 bits 9 bits 01111000 100111000 0111110 0 000101000 What is the value of biased exponent of A, Eb_a? What is the floating point representation of A? What is the value of biased exponent of B, Ep_B? What is the floating point representation of B? Sum A+B (Normalized)?
Represent -53.625 using 32-bit IEEE-754 floating point standard. Indicate Sign bit (1 bit), Biased Exponent bits (8 bits), and Fractional bits (23 bits). For the fractional bits, indicate just the first 9 bits out of 23. For example for 228 (slide 55 of chapter 5) your answer for the fractional bits would be 110010000. sign bit --> biased exponent --> first 9 fractional bits -->
1. A CRC code uses the following generator: G = 0x225. Codewords have 8 data bits. (a) Write the binary representation of G. (b) Write the polynomial representation of G. (c) How many CRC bits are there in a codeword? (d) Calculate the corresponding codeword for the following information bits: 0010 0011. Please provide clear explanation