Interpreting 10011110 as an unsigned number: Step 1: Multiply the given binary number with the positive integers for base 2. 2 7 × 1 + 2 6 × 0 + 2 5 × 0 + 2 4 × 1 + 2 3 × 1 + 2 2 × 1

Question

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Answer 1

Expert Solution & Answer

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Expert Solution & Answer

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Answer 2

Expert Solution & Answer

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Expert Solution & Answer

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Expert Solution & Answer

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Answer 8

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

Answer 9

Chapter 2, Problem 20E

a)

Explanation of Solution

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

Answer 10

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

Answer 11

b)

Program Plan Intro

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

Answer 12

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

Answer 13

c)

Program Plan Intro

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

Answer 14

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

Answer 15

d)

Program Plan Intro

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

Answer 16

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Answer 17

e)

Program Plan Intro

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Check out a sample textbook solution

See solution

Answer 21

Ch. 2.2A - Prob. 1E Ch. 2.2A - Prob. 2E Ch. 2.2A - Prob. 3E Ch. 2.2A - Prob. 4E Ch. 2 - Prob. 1RETC Ch. 2 - Prob. 2RETC Ch. 2 - Prob. 3RETC Ch. 2 - Prob. 4RETC Ch. 2 - Prob. 5RETC Ch. 2 - Prob. 6RETC

Interpreting 10011110 as an unsigned number: Step 1: Multiply the given binary number with the positive integers for base 2. 2 7 × 1 + 2 6 × 0 + 2 5 × 0 + 2 4 × 1 + 2 3 × 1 + 2 2 × 1

Explanation of Solution

Interpreting 10011110 as an unsigned number: Step 1: Multiply the given binary number with the positive integers for base 2. 27×1+26×0+25×0+24×1+23×1+22×1

One’s complement: The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

Two’s complement: Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

Excess-127 representation: To get the excess-127 representation of a given number, Add the given number with the 127. Convert the obtained value to the binary representation.

Want to see the full answer?

Chapter 2 Solutions

Interpreting 10011110 as an unsigned number:

Step 1: Multiply the given binary number with the positive integers for base 2.

27×1+26×0+25×0+24×1+23×1+22×1

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complements to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

Excess-127 representation:

To get the excess-127 representation of a given number,

Add the given number with the 127.

Convert the obtained value to the binary representation.