For these questions enter the answers as binary values (without spaces) e.g. 00110. The numbers in the questions are decimal. What is -10 as a 6-bit sign-magnitude number? What is -64 as an 8-bit one's complement number? What is -31 as an 8-bit two's complement number? What is -1 as a 12-bit two's complement number?

For these questions enter the answers as binary values (without spaces) e.g. 00110. The numbers in the questions are decimal. What is -10 as a 6-bit sign-magnitude number? What is -64 as an 8-bit one's complement number? What is -31 as an 8-bit two's complement number? What is -1 as a 12-bit two's complement number?

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

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your work. Convert the following binary numbers into octal, hexadecimal, and decimal numbers: (a) 1012 (b) 1111000101012 (c) 1011101.00012
Question 7 Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number). 01011011001000 + 00111010000000 = ?
Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
More on Negative Numbers If we use 16 bits, what is the largest integer (signed) we can represent? What is its binary representation? What is the smallest (most negative) integer? What is its binary representation?
Question 3: Write IEEE floating point representation of the following decimal numbers. 1. 122.625 37 2. -57 64
Answer the given question with a proper explanation and step-by-step solution. Find the doubleword-length 2's complement hex representation of the following decimal number: -934 Notes: When writing the hex value using this representation, you should always write pairs of digits with spaces between them. For example, if the value is 3F2E44DA2C, then it should be written as 3F 2E 44 DA 2C. Make sure your answer is the correct size. If it is not written in the correct size, it is wrong! Hexadecimal:
Assume we are using the simple model for floating-point representation as given in this book (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number). What decimal value (no leading/trailing zeros) for the sum of 01011011001000 and 00111010000000 is the computer actually storing?
9. Answer the following questions about IEEE 754 32-bit single precision numbers. a. Draw a diagram of the number format. b. What’s the range of numbers that can be represented? c. What’s meant by normalization? d. What’s the implied bit? e. What’s meant by exponent overflow and underflow? f. What’s meant by significand overflow and underflow? g. How’s + ∞ represented? h. How would he following numbers be represented? i. 1.6328125 x 2^-20 ii. 1.6328125 x 2^20 iii. -1.6328125 x 2^-20 iv. -1.6328125 x 2^20
Give the quantity represented by the following IEEE 754 single precision floating point value: 10000 0000 0100 0000 0000 0000 0000 00 x 2 Do this by dragging two items from the below list into the correct spaces in the above expression. -128 -126 -1.0 -1.01 -1.1 -129 -127
Convert the decimal number -19.625 to a floating-point number expressed in the 14-bit simple model given in your text (1 bit for the sign, 5 bits for exponent using excess-15 notation, and 8 bit mantissa with no implied bit). Question 16 Convert the following decimal Real number to fixed point binary: 19.62510 Assume 8 bits for the whole part and 8 bits for the fraction
Examples 1: Convert following binary numbers to decimal numbers: