7. A pair of 7-bit floating point formats, based on the IEEE standard, is described below: (a) Format (a) has k = 3 and n = 4. The exponent bias is 3. Format (b) has k = 4 and n = 3. The exponent bias is 7. Convert the bit patterns below, given in format (a) to bit patterns in format (b). Convert exact values when possible, otherwise use the round-to-even rule. Also, write the values of each bit pattern, for the (a) and (b) formats. Write the values, in decimal, as rational numbers, or whole integers. Bits (a) Value Bits (b) Value 1 0111 000 011 0000 101 1010 110 1011 000 0011 1 (b) What is the smallest positive denormalized number in format (b)? What is the largest positive denormalized number in format (b)?

7. A pair of 7-bit floating point formats, based on the IEEE standard, is described below: (a) Format (a) has k = 3 and n = 4. The exponent bias is 3. Format (b) has k = 4 and n = 3. The exponent bias is 7. Convert the bit patterns below, given in format (a) to bit patterns in format (b). Convert exact values when possible, otherwise use the round-to-even rule. Also, write the values of each bit pattern, for the (a) and (b) formats. Write the values, in decimal, as rational numbers, or whole integers. Bits (a) Value Bits (b) Value 1 0111 000 011 0000 101 1010 110 1011 000 0011 1 (b) What is the smallest positive denormalized number in format (b)? What is the largest positive denormalized number in format (b)?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

1. Convert the following decimal numbers into their IEEE-754 single-precision (32-bit) representations. Give your answers in hexadecimal form. All intermediate steps must be clearly shown. A single result will not receive marks a. 655.34375 b. -1.875 c. 0.734375
coding for Write the EBCDIC zoned-decimal the value +256 (use hexadecimal). How many bytes are required for this representation?
5
6. Apply Huffman codding on the following characters: Character A BCDE Probability 0.35 0.15 0.20 0.10 0.20 Code a. Fixed-length codding: b. Huffman average code length: c. Compression rate:
Exo 3 1+ The number whose code us 11.00 110 s in 2's complement on 8 bits is: A. 35 B₂ - 41 C. -51 61 2+ BCD character ending allows to code on! At 10 bots B = I bits. G+ 6 bits. Dt 8 bits 3- What is the encoding of A - 10100010 B- 110 111 11 ct 10110101 D- 1 1 0 1 1 1 1 0 (-34) 10 in 2's complement?
Using the SEC-DED Hamming code given in class (for 4 bit words), determine whether there is no error, an error in one bit, or an error in two bits for the following 8 bit word fetched from memory. If there is an error in one bit, indicate which bit is in error. 0011 1011
9
Assume that a system uses 10-bit floating-point representation based on the IEEE floating-point format, in which: . There is 1 sign bit. There are k= 6 exponent bits. The exponent bias is 31. . There are n= 3 fraction bits. ● Convert the decimal number -5.5 into the 10-bit IEEE floating point representation explained above. Write the final result in 10-bit binary format. Show your steps.
2. Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 16-bit format, 5 bits for the exponent with a bias of excess-15, a normalized mantissa of 10 bits, and a single sign bit for the number): Show how the computer would represent the numbers a) +3.53125 and -3.34375 using this floating-point format. a) +3.53125 b)-0.09375
7. Add the following two 8-bit binary numbers, producing an 8-bit result. Indicate the status of the carry and overflow bits at the end of the addition by circling the appropriate choices. The space in between is only for readability. 1101 0110 + 1001 0111 -------------- Overflow? Yes or No Carry? Yes or No
Are you able to differentiate between the least significant bit and the most significant bit in a given set of data?
I want a clear solution and a clear line as well.