Identify the decimal equivalents

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Reference no: EM131724254

Assignment

In addition to the required readings in this unit, the Unit Study Guide covers many of the topics in this assignment.

1. Identify the decimal equivalents for the following (use the binary chart in the study guide):

2^0

=

1

2^1

=

 

2^2

=

 

2^3

=

 

2^4

=

 

2^5

=

 

2^6

=

 

2^7

=

 

2^8

=

 

2. Manually convert the decimal numbers into binary numbers in thetable below. You must show your work using the conversion process.

Decimal Binary Conversion Process

Decimal

Binary

Conversion Process

115

1110011

115/2=57 R1, 57/2=28 R1, 28/2=14 R0, 14/2=7 R0, 7/2=3 R1, 3/2=1 R1, 1/2=0 R1
So, from last to first, the binary would be 110011

100

 

 

32

 

 

1000

 

 

99

 

 

256

 

 

111

 

 

1024

 

 

108

 

 

112

 

 

27

 

 

96

 

 

46

 

 

48

 

 

3. Manually convert the binary numbers given into decimal numbers in the table below (use the chart that displays the binary to decimal conversion in the study guide). You must show your work using the conversion process.

Binary

Decimal

Conversion Process

1101001

105

(1101001)2 = (105)10 or 64+32+8+1=105

100

 

 

0100000

 

 

110110

 

 

1110011

 

 

1111000

 

 

1101001

 

 

101

 

 

10000

 

 

1101000

 

 

1010100

 

 

1111

 

 

1100

 

 

10101

 

 

4. Describe what is wrong with the following sequence (use the chart that displays the binary to decimal conversion in the study guide). Place your answer in the text box beneath the sequence.

10 100 110 1000 1001 1100 1110 1000
10 = 2, 100 = 4, 110 =

Reference no: EM131724254

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