Determine the two’s complement representation of the base ten representations 6: In the base ten representations 6, the number is a positive value. Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below, 2 6 2 3 0 2 1 1 0

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Answer 1

Expert Solution & Answer

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

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1.[30 pts] Computers generate color pictures on a video screen or liquid crystal display by mixing three different colors of light: red, green, and blue. Imagine a simple scheme, with three different lights, each of which can be turned on or off, projecting onto a glass screen: We can create eight different colors based on the absence (0) or presence (1) of light sources R,G and B: R G B Color 0 0 0 Black 0 0 1 Blue 0 1 0 Green 0 1 1 Cyan 1 0 0 Red 1 0 1 Magenta 1 1 1 0 Yellow 1 White 1 Each of these colors can be represented as a bit vector of length 3, and we can apply Boolean operations to them. a. The complement of a color is formed by turning off the lights that are on and turning on the lights that are off. What would be the complement of each of the eight colors listed above? b. Describe the effect of applying Boolean operations on the following colors: Λ 1. Red(100) ^ Magenta(101)= Blue(001) 2. Bue(001) | Green(010)= 3. Yellow(100) & Cyan(011)= 2.[30 pts] Perform the following…

D. S. Malik, Data Structures Using C++, 2nd Edition, 2010

Methods (Ch6) - Review 1. (The MyRoot method) Below is a manual implementation of the Math.sqrt() method in Java. There are two methods, method #1 which calculates the square root for positive integers, and method #2, which calculates the square root of positive doubles (also works for integers). public class SquareRoot { public static void main(String[] args) { } // implement a loop of your choice here // Method that calculates the square root of integer variables public static double myRoot(int number) { double root; root=number/2; double root old; do { root old root; root (root_old+number/root_old)/2; } while (Math.abs(root_old-root)>1.8E-6); return root; } // Method that calculates the square root of double variables public static double myRoot(double number) { double root; root number/2; double root_old; do { root old root; root (root_old+number/root_old)/2; while (Math.abs (root_old-root)>1.0E-6); return root; } } Program-it-Yourself: In the main method, create a program that…

Answer 2

Expert Solution & Answer

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

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Check out a sample textbook solution

See solution

Answer 3

Expert Solution & Answer

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

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Check out a sample textbook solution

See solution

Answer 4

Expert Solution & Answer

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

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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 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 8

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

Answer 9

Chapter 1.6, Problem 2QE

a.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 6:

In the base ten representations 6, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

262302110

Answer 10

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 11

b.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −6:

In the base ten representations −6, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 6 until the quotient is zero as shown below,

2623021101

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 12

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 13

c.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −17:

In the base ten representations −17, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 17 until the quotient is zero as shown below,

21728124022021001

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 14

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

Answer 15

d.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 13:

In the base ten representations 13, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bit pattern, divide the number 13 until the quotient is zero as shown below,

213261230211

Answer 16

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

Answer 17

e.

Explanation of Solution

Determine the two’s complement representation of the base ten representations −1:

In the base ten representations −1, the number is a negative value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 1 until the quotient is zero as shown below,

2101

Write the binary representation from above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits. The binary pattern of given number is,

1=(1)2=(00000001)2

Convert the above binary representation to its equivalent two’s complement representation, complement the binary pattern and then add 1 to it

Answer 18

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 19

f.

Explanation of Solution

Determine the two’s complement representation of the base ten representations 0:

In the base ten representations 0, the number is a positive value.

Convert the base ten representations to its equivalent two’s compliment representation using 8 bits pattern, divide the number 0 until the quotient is zero as shown below,

2000

Write the binary representation from the above table in sequence of remainder from down to top, then padding the bit pattern to 8 bits

Answer 20

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Answer 21

Expert Solution & Answer

Answer 22

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See solution

Answer 23

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...

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Chapter 1 Solutions