Hexadecimal number system: In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used. It means, in total, hexadecimal system has 10 numbers and 6 alphabets. Therefore, the base used for hexadecimal numbering system is 16. Binary 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.

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Answer 1

Question

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

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Answer 2

Question

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

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Answer 3

Question

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

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Answer 4

Question

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

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Answer 5

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

Answer 6

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Answer 7

Chapter 3, Problem 6RQ

Program Plan Intro

Hexadecimal number system:

In hexadecimal number system, the numbers from “0” to “9” and letters from “A” to “F” are used.

It means, in total, hexadecimal system has 10 numbers and 6 alphabets.

Therefore, the base used for hexadecimal numbering system is 16.

Binary 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.

Answer 8

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Answer 9

Explanation of Solution

b.

Conversion of hexadecimal number E8 to its equivalent binary number:

Given, hexadecimal number is E8.

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 E8...

Answer 10

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Answer 11

Explanation of Solution

c.

Conversion of hexadecimal number 6D2 to its equivalent binary number:

Given, hexadecimal number is 6D2.

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 6D2.

Answer 12

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

Answer 13

Explanation of Solution

d.

Conversion of hexadecimal number 31B to its equivalent binary number:

Given, hexadecimal number is 31B.

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 31B.

Answer 14

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Answer 15

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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 explains the base used for hexadecimal numbering system, which is 16 numbers and 6 alphabets.

Explanation of Solution

Explanation of Solution

Explanation of Solution

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Chapter 3 Solutions