EBK COMPUTER SCIENCE: AN OVERVIEW
EBK COMPUTER SCIENCE: AN OVERVIEW
12th Edition
ISBN: 8220102744196
Author: BRYLOW
Publisher: PEARSON
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Chapter 1, Problem 43CRP

Explanation of Solution

8bit Floating point and the two’s complement:

The 8bit floating point is the representation in which 8bit of the memory is used. The value stored is positive if the sign bit is zero and the value is negative if the sign bit is one. The two’s complement of the integer is a way of representation in which the sign of the bits on the left hand tells the sign of the integer that is positive or negative.

BitpattternValueRepresented11131102101110000111010200130004

The bit patterns 10000010,01101000and00000010 are converted into 8bit Floating point and the two’s complement:

  • The first bit pattern is 10000010, the leftmost value is one so the integer is negative.
  • The conversion of the negative integer to the positive is shown below:

Bitconversion=1000001001111110

0×27+1×26+1×25+1×24+1×23+1×22+1×21+0×20=126

The two’s compliment of 10000010 is (126)10.

  • The second bit pattern is 01101000, the leftmost value is zero so the integer is positive.

    0×27+1×26+1×25+0×24+1×23+0×22+0×21+0×20=104

    The two’s compliment of 01101000 is (104)10.

  • The third bit pattern is 00000010, the leftmost value is zero so the integer is positive.

    0×27+0×26+0×25+0×24+0×23+0×22+1×21+0×20=2

    The two’s compliment of 00000010 is (2)10

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Chapter 1 Solutions

EBK COMPUTER SCIENCE: AN OVERVIEW

Ch. 1.3 - Prob. 2QECh. 1.3 - Prob. 3QECh. 1.3 - Prob. 4QECh. 1.3 - Prob. 5QECh. 1.3 - Prob. 6QECh. 1.4 - Here is a message encoded in ASCII using 8 bits...Ch. 1.4 - In the ASCII code, what is the relationship...Ch. 1.4 - Prob. 3QECh. 1.4 - Prob. 4QECh. 1.4 - Convert each of the following binary...Ch. 1.4 - Prob. 6QECh. 1.4 - What is the largest numeric value that could be...Ch. 1.4 - An alternative to hexadecimal notation for...Ch. 1.4 - What is an advantage of representing images via...Ch. 1.4 - Prob. 10QECh. 1.5 - Convert each of the following binary...Ch. 1.5 - Convert each of the following base ten...Ch. 1.5 - Convert each of the following binary...Ch. 1.5 - Express the following values in binary notation:...Ch. 1.5 - Perform the following additions in binary...Ch. 1.6 - Convert each of the following twos complement...Ch. 1.6 - Prob. 2QECh. 1.6 - Suppose the following bit patterns represent...Ch. 1.6 - Suppose a machine stores numbers in twos...Ch. 1.6 - In the following problems, each bit pattern...Ch. 1.6 - Prob. 6QECh. 1.6 - Prob. 7QECh. 1.6 - Prob. 8QECh. 1.6 - Prob. 9QECh. 1.6 - Prob. 10QECh. 1.6 - Prob. 11QECh. 1.7 - Prob. 1QECh. 1.7 - Prob. 3QECh. 1.7 - Prob. 4QECh. 1.8 - What makes Python an interpreted programming...Ch. 1.8 - Write Python statements that print the following:...Ch. 1.8 - Write Python statements to make the following...Ch. 1.8 - Write a Python statement that given an existing...Ch. 1.9 - Prob. 1QECh. 1.9 - Prob. 2QECh. 1.9 - Prob. 3QECh. 1.9 - Prob. 4QECh. 1.9 - Prob. 5QECh. 1.9 - Prob. 6QECh. 1.9 - Prob. 7QECh. 1.10 - Prob. 1QECh. 1.10 - Could errors have occurred in a byte from Question...Ch. 1.10 - Prob. 3QECh. 1.10 - Prob. 4QECh. 1.10 - Prob. 5QECh. 1.10 - Prob. 6QECh. 1 - Determine the output of each of the following...Ch. 1 - a. What Boolean operation does the circuit...Ch. 1 - a. If we were to purchase a flip-flop circuit from...Ch. 1 - Assume that both of the inputs in the following...Ch. 1 - The following table represents the addresses and...Ch. 1 - How many cells can be in a computers main memory...Ch. 1 - Prob. 7CRPCh. 1 - Prob. 8CRPCh. 1 - Prob. 9CRPCh. 1 - Prob. 10CRPCh. 1 - Suppose a picture is represented on a display...Ch. 1 - Prob. 12CRPCh. 1 - Prob. 13CRPCh. 1 - If each sector on a magnetic disk contains 1024...Ch. 1 - How many bytes of storage space would be required...Ch. 1 - Prob. 16CRPCh. 1 - Prob. 17CRPCh. 1 - Suppose a typist could type 60 words per minute...Ch. 1 - Prob. 19CRPCh. 1 - Prob. 20CRPCh. 1 - Prob. 21CRPCh. 1 - Prob. 22CRPCh. 1 - Prob. 23CRPCh. 1 - Prob. 24CRPCh. 1 - Prob. 25CRPCh. 1 - Prob. 26CRPCh. 1 - Prob. 27CRPCh. 1 - Prob. 28CRPCh. 1 - Prob. 29CRPCh. 1 - Prob. 30CRPCh. 1 - Prob. 31CRPCh. 1 - Prob. 32CRPCh. 1 - Prob. 33CRPCh. 1 - Prob. 34CRPCh. 1 - Prob. 35CRPCh. 1 - Prob. 36CRPCh. 1 - Prob. 37CRPCh. 1 - Prob. 38CRPCh. 1 - Prob. 39CRPCh. 1 - Prob. 40CRPCh. 1 - Prob. 41CRPCh. 1 - Prob. 42CRPCh. 1 - Prob. 43CRPCh. 1 - Prob. 44CRPCh. 1 - Prob. 45CRPCh. 1 - What would be the hexadecimal representation of...Ch. 1 - Prob. 47CRPCh. 1 - Prob. 48CRPCh. 1 - Prob. 49CRPCh. 1 - Prob. 50CRPCh. 1 - Prob. 51CRPCh. 1 - Prob. 52CRPCh. 1 - Prob. 53CRPCh. 1 - Prob. 54CRPCh. 1 - Prob. 55CRPCh. 1 - Prob. 56CRPCh. 1 - Prob. 57CRPCh. 1 - Prob. 58CRPCh. 1 - Write and test a Python script that, given a...Ch. 1 - Prob. 61CRPCh. 1 - Prob. 2SICh. 1 - Prob. 3SICh. 1 - Prob. 4SICh. 1 - Prob. 5SICh. 1 - Prob. 6SICh. 1 - Prob. 7SI
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