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What decimal floating point number does this big-endian IEEE 754 single precisio

ID: 3804507 • Letter: W

Question

What decimal floating point number does this big-endian IEEE 754 single precision number represent: n = 0x6C84_3175? For explanation, I want you to document the steps you perform, in this order: (1) What is n in binary: (2) What is the value of the sign bit: What does this value signify about the final number; (3) What are the binary and decimal values of the biased exponent; (4) What is the binary value of the mantissa, with the 1. part preceding the binary point? (5) What is the decimal value of the unbiased exponent; (6) What is the decimal value of the mantissa, with the leading 1. part? (7) What is the final decimal real number, written in the form [-]d.ddddddddd dddddd times 10^e where d represents a decimal digit 0-9 and there is an optional leading negative sign. Write exactly 15 digits after the decimal point (even if they are 0's) and round the final 15 th digit up or down as required based on the value of the 16 th digit (16 th digit

Explanation / Answer

When building apps for OS X or iOS, you’ll spend most of your time working with objects. Those objects are instances of Objective-C classes, some of which are provided for you by Cocoa or Cocoa Touch and some of which you’ll write yourself.

If you’re writing your own class, start by providing a description of the class that details the intended public interface to instances of the class. This interface includes the public properties to encapsulate relevant data, along with a list of methods. Method declarations indicate the messages that an object can receive, and include information about the parameters required whenever the method is called. You’ll also provide a class implementation, which includes the executable code for each method declared in the interface

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