a. Decimal number: A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point. The dot is known as a decimal point of a decimal number. Hence decimal numbering system is a method for representing both integer and non-integer numbers. Binary number: Binary number is a number which is expressed in base-2 numeral system or binary numeral system. It uses only two symbols zero and one. It is mainly used by all modern computers and computer based devices. Each digit in binary numeral system is referred to as bit.

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Answer 1

Question

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

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Answer 2

Question

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

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Answer 3

Question

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

Expert Solution & Answer

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Answer 4

Question

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

Expert Solution & Answer

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Answer 5

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

Answer 6

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Answer 7

Chapter 2, Problem 33E

Program Plan Intro

a.

Decimal number:

A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.

The dot is known as a decimal point of a decimal number.

Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Binary number:

Binary number is a number which is expressed in base-2 numeral system or binary numeral system.

It uses only two symbols zero and one.

It is mainly used by all modern computers and computer based devices.

Each digit in binary numeral system is referred to as bit.

Answer 8

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Answer 9

Explanation of Solution

b.

Conversion of decimal number 69 into binary value:

Divide the number 69 by 2 and it returns 34 as quotient and 1 as remainder.

Divide number 34 by 2 and it returns 17 as quotient and 0 as remainder.

Divide number 17 by 2 and it returns 8 as quotient and 1 as remainder.

Divide number 8 by 2 and it returns 4 as quotient and 0 as remainder.

Divide number 4 by 2 and it returns 2 as quotient and 0 as remainder...

Answer 10

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Answer 11

Explanation of Solution

c.

Conversion of decimal number 1066 into binary value:

Divide the number 1066 by 2 and it returns 533 as quotient and 0 as remainder.

Divide number 533 by 2 and it returns 266 as quotient and 1 as remainder.

Divide number 266 by 2 and it returns 133 as quotient and 0 as remainder.

Divide number 133 by 2 and it returns 66 as quotient and 1 as remainder.

Divide number 66 by 2 and it returns 33 as quotient and 0 as remainder.

Divide number 33 by 2 and it returns 16 as quotient and 1 as remainder.

Divide number 16 by 2 and it returns 8 as quotient and 0 as remainder...

Answer 12

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Answer 13

Explanation of Solution

d.

Conversion of decimal number 99 into binary value:

Divide the number 99 by 2 and it returns 49 as quotient and 1 as remainder.

Divide number 49 by 2 and it returns 24 as quotient and 1 as remainder.

Divide number 24 by 2 and it returns 12 as quotient and 0 as remainder.

Divide number 12 by 2 and it returns 6 as quotient and 0 as remainder.

Divide number 6 by 2 and it returns 3 as quotient and 0 as remainder...

Answer 14

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

Answer 15

Explanation of Solution

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

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

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

e. Conversion of decimal number 1 into binary value: Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...

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Chapter 2 Solutions

e.

Conversion of decimal number 1 into binary value:

Divide the number 1 by 2 and it is not possible because 1 is lesser than 2...