Decimal number system: In binary system, the numbers “0” and “1” are only used. It means, in total, binary system has only 2 numbers. Therefore, the base used for binary numbering system is 2. BCD number system: Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers. Each decimal number will be represented by a fixed number of bits such as four or eight. BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

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Answer 1

Question

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

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Last Chance Securities The IT director opened the department staff meeting today by saying, "I've got some good news and some bad news. The good news is that management approved the payroll system project this morning. The new system will reduce clerical time and errors, improve morale in the payroll department, and avoid possible fines and penalties for noncompliance. The bad news is that the system must be installed by January 1st in order to meet new federal reporting rules, all expenses from now on must be approved in advance, the system should have a modular design if possible, and the vice president of finance would like to announce the new system in a year-end report if it is ready by mid-December." Tasks 1. Why is it important to define the project scope? How would you define the scope of the payroll project in this case? 2. Review each constraint and identify its characteristics: present versus future, internal versus exter- nal, and mandatory versus desirable. 3. What…

2. Signed Integers Unsigned binary numbers work for natural numbers, but many calculations use negative numbers as well. To deal with this, a number of different methods have been used to represent signed numbers, but we will focus on two's complement, as it is the standard solution for representing signed integers. 2.1 Two's complement • Most significant bit has a negative value, all others are positive. So, the value of an n-digit -2 two's complement number can be written as: Σ2 2¹ di 2n-1 dn • Otherwise exactly the same as unsigned integers. i=0 - • A neat trick for flipping the sign of a two's complement number: flip all the bits (0 becomes 1, or 1 becomes 0) and then add 1 to the least significant bit. • Addition is exactly the same as with an unsigned number. 2.2 Exercises For questions 1-3, answer each one for the case of a two's complement number and an unsigned number, indicating if it cannot be answered with a specific representation. 1. (15 pts) What is the largest integer…

Answer 2

Question

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

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Answer 3

Question

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

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Answer 4

Question

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

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Answer 5

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

Answer 6

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Answer 7

Chapter 3, Problem 7RQ

Program Plan Intro

Decimal number system:

In binary system, the numbers “0” and “1” are only used.

It means, in total, binary system has only 2 numbers.

Therefore, the base used for binary numbering system is 2.

BCD number system:

Binary Coded Decimal (BCD) refers to a section of binary encodings of decimal numbers.

Each decimal number will be represented by a fixed number of bits such as four or eight.

BCD has an advantage of representing each decimal number in four bit pattern. This is also called as “8421” encoding.

Answer 8

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Answer 9

Explanation of Solution

b.

Conversion of decimal number 389 to its equivalent BCD:

Given, decimal number is 389.

Each digit of the decimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding decimal digit.

Finally, the BCD notation of the given decimal number is noted.

The following diagram describes the BCD notation of the decimal number 389...

Answer 10

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Answer 11

Explanation of Solution

c.

Conversion of decimal number 1678 to its equivalent BCD:

Given, hexadecimal number is 1678.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 1678...

Answer 12

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

Answer 13

Explanation of Solution

d.

Conversion of decimal number 2502 to its equivalent BCD:

Given, hexadecimal number is 2502.

Each digit of the hexadecimal number is converted into four bit binary equivalent.

A group of four bit binary refers to its corresponding hexadecimal digit.

Finally, the binary notation of the given hexadecimal number is noted.

The following diagram describes the binary notation of the hexadecimal number 2502...

Answer 14

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Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 3 - Prob. 1RQ Ch. 3 - Convert each of the following decimal numbers to...Ch. 3 - Prob. 3RQ Ch. 3 - Prob. 4RQ Ch. 3 - Prob. 5RQ Ch. 3 - Prob. 6RQ Ch. 3 - Prob. 7RQ Ch. 3 - Prob. 8RQ Ch. 3 - Prob. 9RQ Ch. 3 - Prob. 10RQ

Solution Summary: The author describes the binary encodings of decimal numbers, which are represented by a fixed number of bits such as four or eight.

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Explanation of Solution

Explanation of Solution

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Chapter 3 Solutions