Programmable Logic Controllers - With Access
5th Edition
ISBN: 9781259933523
Author: Petruzella
Publisher: MCG
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Chapter 3, Problem 9P
Explanation of Solution
Using a floating-point numbering system:
- Sometimes it is necessary to adjust the decimal point of a binary number, especially when computing arithmetic and logic operations.
- This representation is useful to increase or decrease the significant value.
- Floating point binary representation can also be used to represent negative numbers by simple binary format...
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Explain the concept of signed and unsigned integers in computer programming. How are they represented and used in programming languages?
Discuss the concept of binary arithmetic and its importance in computational systems.
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)256.015625
Chapter 3 Solutions
Programmable Logic Controllers - With Access
Ch. 3 - Prob. 1RQCh. 3 - Convert each of the following decimal numbers to...Ch. 3 - Prob. 3RQCh. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Prob. 6RQCh. 3 - Prob. 7RQCh. 3 - Prob. 8RQCh. 3 - Prob. 9RQCh. 3 - Prob. 10RQ
Ch. 3 - Prob. 11RQCh. 3 - Define the term sign bit.Ch. 3 - Prob. 13RQCh. 3 - Prob. 14RQCh. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Prob. 17RQCh. 3 - Prob. 18RQCh. 3 - Prob. 19RQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
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- In terms of ALU operations, how is a floating-point number addition different from an integer addition?arrow_forwardWhy is it that when floating-point arithmetic is done by a binary digital computer, there is always some degree of inaccuracy in the result?arrow_forwardidentify the arithmetic operations in binary number systems with application in Information technology. Also, write the complete account of interest?arrow_forward
- For IEEE 754 single-precision floating point, what is the number, as written in binary scientific notation, whose hexadecimal representation is the 7FE4 0000?arrow_forwardFor IEEE 754 single-precision floating point, write the hexadecimal representation for positive zero, the smallest positive denormalized number and the largest positive normalized numberarrow_forwardThe essential features of a number system are Radix Set of distinct counting digits explain?arrow_forward
- Answer the following questions on floating-point representation: a) Convert AD510010 16 to an IEEE single-precision floating-point number b) Convert the following IEEE single-precision floating-point number to a decimal number: 10111111110100000000000000000000arrow_forwardDescribe the concept of absolute value for integers and its applications.arrow_forwardConsider a 16 bit binary floating point number representation system..arrow_forward
- Question 2(a). Consider the applications of the following number systems and explain why they are best suited for implementation of such systems.a) Binaryb) Octalc) Decimald) Hexadecimalarrow_forwardWhy is it that whenever a binary digital computer does arithmetic on floating-point data, there is always some degree of inaccuracy in the result?arrow_forwardIf 6.75 is represented in 8 bit binary floating point, what is the mantissa and exponent value?arrow_forward
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