Converting “110001.10101 ” to decimal equivalent: Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions. Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2. Step 3: Multiply the right part of the binary number with the negative integers for base 2. Step 4: Add all the values to get the final result. 110001 .10101 =1x2 5 + 1x2 4 + 0 x2 3 + 0 x2 2 + 0 x2 1 + 1x2 0 + 1x2 − 1 + 0 x2 − 2 + 1x2 − 3 + 0 x2 − 4 +1x2 − 5 = 32 + 16 + 0 + 0 + 0 + 1 + 0.5 + 0 + 0.125 + 0 + 0.03125 = 49.65625 Thus, the decimal equivalent of 10001.10101 is “ 4 9 . 6 5 6 2 5 1 0 ”.

Question

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Answer 1

Expert Solution & Answer

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

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Whentheuserenters!!,themostrecentcommandinthehistoryisexecuted.In the example above, if the user entered the command: Osh> !! The ‘ls -l’ command should be executed and echoed on user’s screen. The command should also be placed in the history buffer as the next command. Whentheuserentersasingle!followedbyanintegerN,theNthcommandin the history is executed. In the example above, if the user entered the command: Osh> ! 3 The ‘ps’ command should be executed and echoed on the user’s screen. The command should also be placed in the history buffer as the next command. Error handling: The program should also manage basic error handling. For example, if there are no commands in the history, entering !! should result in a message “No commands in history.” Also, if there is no command corresponding to the number entered with the single !, the program should output "No such command in history."

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Answer 2

Expert Solution & Answer

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

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Answer 3

Expert Solution & Answer

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

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Answer 4

Expert Solution & Answer

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

Answer 8

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

Answer 9

Chapter 2, Problem 12E

a)

Explanation of Solution

Converting “110001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

110001.10101 =1x25+1x24+0x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =32+16+0+0+0+1+0.5+0+0.125+0+0.03125 =49.65625

Thus, the decimal equivalent of 10001.10101 is “49.6562510”.

Answer 10

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

Answer 11

b)

Explanation of Solution

Converting “111001.001011” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

111001.001011 =1x25+1x24+1x23+0x22+0x21+1x20+0x2−1+0x2−2+1x2−3+0x2−4+1x2−5+1x2−6 =32+16+8+0+0+1+0+0+0.125+0+0.03125+0.015625 =57.171875

Thus, the decimal equivalent of 111001.001011 is “57.17187510”.

Answer 12

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

Answer 13

c)

Explanation of Solution

Converting “1001001.10101” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

1001001.10101=1x26+0x25+0x24+1x23+0x22+0x21+1x20+1x2−1+0x2−2+1x2−3+0x2−4+1x2−5 =64+0+0+8+0+0+1+0.5+0+0.125+0+0.03125 =73.65625

Thus, the decimal equivalent of 1001001.10101 is “73.6562510”.

Answer 14

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

Answer 15

d)

Explanation of Solution

Converting “11101001.110001” to decimal equivalent:

Step 1: First separate the given binary fractions into two parts, left binary part and right binary fractions.

Step 2: To convert the binary fraction into decimal number, multiply the left part of the binary number with the positive integers for base 2.

Step 3: Multiply the right part of the binary number with the negative integers for base 2.

Step 4: Add all the values to get the final result.

11101001.110001=1x27+1x26+1x25+0x24+1x23+0x22+0x21+1x20+1x2−1+1x2−2+0x2−3+0x2−4+0x2−5+1x2−6 =128+64+32+0+8+0+0+1+0.5+0.25+0+0+0+0.015625 =233.765625

Thus, the decimal equivalent of 11101001.110001 is “233.76562510”.

Answer 16

Ch. 2 - Prob. 1RETC Ch. 2 - Prob. 2RETC Ch. 2 - Prob. 3RETC Ch. 2 - Prob. 4RETC Ch. 2 - Prob. 5RETC Ch. 2 - Prob. 6RETC Ch. 2 - Prob. 7RETC Ch. 2 - Prob. 8RETC Ch. 2 - Prob. 9RETC Ch. 2 - Prob. 10RETC

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

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