6. Convert the following numbers from unsigned binary notation to decimal notation, and from 6- bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...0

6. Convert the following numbers from unsigned binary notation to decimal notation, and from 6- bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...0

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 3VE: A(n) __________ is an integer stored in double the normal number of bit positions.

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A(n) __________ is an integer stored in double the normal number of bit positions.
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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
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Question 4: Floating Point Below is a simplified 8 bit floating point format, with 1 bit for sign, 4 bits for the fraction, and 3 bits for the exponent. (Format: Sffffeee = (-1)$x0.ffffx2(eee-4)) For each example, write the decimal equivalent. %3D 1. 1 0101 110 Decimal: 2. 0 1111 111 Decimal: 3. 0 0001 000 Decimal:
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