Solve 6 − ( − 1 ) in two’s compliment notation and verify the answers: Add the two numbers as: 6 − ( − 1 ) = 6 + 1 = 7 Convert the notation in two’s compliment: 0110 + 0001 0111 Convert

Question

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Answer 1

Expert Solution & Answer

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

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Answer 2

Expert Solution & Answer

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

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Check out a sample textbook solution

See solution

Answer 3

Expert Solution & Answer

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

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Check out a sample textbook solution

See solution

Answer 4

Expert Solution & Answer

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

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Check out a sample textbook solution

See solution

Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

Answer 8

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

Answer 9

Chapter 1.6, Problem 7QE

a.

Explanation of Solution

Solve $6−(−1)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$6−(−1)=6+1=7$

Convert the notation in two’s compliment:
$0110+0001 0111$

Convert

Answer 10

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

Answer 11

b.

Explanation of Solution

Solve $3−(−2)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$3−(−2)=3+2=5$

Convert the notation in two’s compliment:
$0011+0010 0101$

Convert

Answer 12

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

Answer 13

c.

Explanation of Solution

Solve $4−6$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$4−6=−2$

Convert the notation in two’s compliment:
$0100+1010 1110$

Since the obtained number is negative, take the two’s compliment of $1110$ .
$(1110)2=(0001+1)=($

Answer 14

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

Answer 15

d.

Explanation of Solution

Solve $2−(−4)$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$2−(−4)=2+4=6$

Convert the notation in two’s compliment:
$0010+0100 0110$

Convert

Answer 16

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

Answer 17

e.

Explanation of Solution

Solve $1−5$ in two’s compliment notation and verify the answers:

Add the two numbers as:
$1−5=−4$

Convert the notation in two’s compliment:
$0001+1011 1100$

Since the obtained number is negative, take the two’s compliment of $1100$ .
$(1100)2=(0011+1)2=($

Answer 18

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Check out a sample textbook solution

See solution

Answer 19

Ch. 1.1 - What input bit patterns will cause the following...Ch. 1.1 - In the text, we claimed that placing a 1 on the...Ch. 1.1 - Assuming that both inputs to the flip-flop in...Ch. 1.1 - a. If the output of an AND gate is passed through...Ch. 1.1 - Prob. 5QE Ch. 1.1 - Prob. 6QE Ch. 1.2 - If the memory cell whose address is 5 contains the...Ch. 1.2 - Prob. 2QE Ch. 1.2 - Design a sequence of steps that correctly...Ch. 1.2 - How many bits would be in the memory of a computer...

Solve 6 − ( − 1 ) in two’s compliment notation and verify the answers: Add the two numbers as: 6 − ( − 1 ) = 6 + 1 = 7 Convert the notation in two’s compliment: 0110 + 0001 0111 Convert

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

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Chapter 1 Solutions