Fractional binary numbers: If each binary digit or bit b i ranges between “0” and “1”, then the notation represented by the below equation b = ∑ i = -n m 2 i × b i Round-to-even rule: This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd. To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd. Example: The example for round-to-even is shown below: Consider a binary number is “10.00011 2 ” that is fractional 2 3 32 down to “10.00 2 ”. From the above binary number, the decimal for “10” is “2”. Here the rounding the values nearest to 2 bits to the right of the binary point. Hence, the result after rounding is “10.00 2 ”.

Question

Want to see the full answer?

Answer 1

Question

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

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Answer 2

Question

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 6

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 7

Chapter 2.4, Problem 2.50PP

A.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is fractional 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 8

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 9

B.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 10

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 11

C.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit bi ranges between “0” and “1”, then the notation represented by the below equation.

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 12

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 13

D.

Program Plan Intro

Fractional binary numbers:

If each binary digit or bit b_i ranges between “0” and “1”, then the notation represented by the below equation

b = ∑i = -nm2i × bi

Round-to-even rule:

This rule rounding can be used even when user are not rounding to a entire number. The rounding can be calculated by using whether the least significant digit is even or odd.

To binary fractional number, the round-to-even can be used by considering least significant value “0” to be even and “1” to be odd.

Example:

The example for round-to-even is shown below:

Consider a binary number is “10.00011₂” that is 2332 down to “10.00₂”.

From the above binary number, the decimal for “10” is “2”.

Here the rounding the values nearest to 2 bits to the right of the binary point.

Hence, the result after rounding is “10.00₂”.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 17

Ch. 2.1 - Practice Problem 2.1 (solution page 143) Perform...Ch. 2.1 - Prob. 2.2PP Ch. 2.1 - Prob. 2.3PP Ch. 2.1 - Practice Problem 2.4 (solution page 144) Without...Ch. 2.1 - Prob. 2.5PP Ch. 2.1 - Prob. 2.6PP Ch. 2.1 - Prob. 2.7PP Ch. 2.1 - Prob. 2.8PP Ch. 2.1 - Practice Problem 2.9 solution page 146 Computers...Ch. 2.1 - Prob. 2.10PP

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Chapter 2 Solutions