Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
13th Edition
ISBN: 9780134875460
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
Expert Solution & Answer
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Chapter 1, Problem 36CRP

a.

Explanation of Solution

Decode 01011001 using the floating point format described in figure 1.24:

The rules of the floating format is,

  • The high order bit of the binary number is the sign bit. 0 is assigned as positive and 1 is assigned as negative.
  • The four bits from the right are assigned as mantissa field.
  • The remaining three bits represent the exponential field that is shown in the below table.
Bit patternvalue
1113
1102
1011
1000
0111
1012
0013
0004
  • Apply the above rules to the bit pattern 01011001.
  • The mantissa field of the given binary number is .1001, shift 1 bit to the left of the decimal point then the exponential field 001 represents 1 by follow the above table.. the number becomes 1.001
  • Convert the number 1 into base ten representation

b.

Explanation of Solution

Decode 11001000 using the floating point format described in figure 1.24:

The rules of the floating format is,

  • The high order bit of the binary number is the sign bit. 0 is assigned as positive and 1 is assigned as negative.
  • The four bits from the right are assigned as mantissa field.
  • The remaining three bits represent the exponential field that is shown in the below table.
Bit patternvalue
1113
1102
1011
1000
0111
1012
0013
0004
  • Apply the above rules to the bit pattern 11001000.
  • The mantissa field of the given binary number is .1000, shift 1 bit to the left of the decimal point then the exponential field is 100 represents 0 by follow the above table.. then there is no need to shift the bit number and the number becomes 0

c.

Explanation of Solution

Decode 10101100 using the floating point format described in figure 1.24:

The rules of the floating format is,

  • The high order bit of the binary number is the sign bit. 0 is assigned as positive and 1 is assigned as negative.
  • The four bits from the right are assigned as mantissa field.
  • The remaining three bits represent the exponential field that is shown in the below table.
Bit patternvalue
1113
1102
1011
1000
0111
1012
0013
0004
  • Apply the above rules to the bit pattern 10101100.
  • The mantissa field of the given binary number is .1100, shift 2 bit to the left of the decimal point then the exponential field 010 represents 2  by follow the above table. The number becomes 0.001100
  • Convert the number 0.001100 into binary representation.

d.

Explanation of Solution

Decode 00111001 using the floating point format described in figure 1.24:

The rules of the floating format is,

  • The high order bit of the binary number is the sign bit. 0 is assigned as positive and 1 is assigned as negative.
  • The four bits from the right are assigned as mantissa field.
  • The remaining three bits represent the exponential field that is shown in the below table.
Bit patternvalue
1113
1102
1011
1000
0111
1012
0013
0004
  • Apply the above rules to the bit pattern 00111001.
  • The mantissa field of the given binary number is .1001, shift 1 to the left of the decimal point then the exponential field 011 represents 1  by follow the above table. then  number becomes 0.01001
  • Convert the number 0

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Chapter 1 Solutions

Computer Science: An Overview (13th Edition) (What's New in Computer Science)

Ch. 1.3 - Prob. 1QECh. 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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