To express: A binary number into a decimal number.

Question

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Answer 1

Question

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

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Subject— Applied mathematics

Answer 2

Question

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

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Answer 3

Question

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

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Answer 4

Question

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

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Answer 5

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

Answer 6

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...

So decimal number of 110100.01₂ is

decimal=1×25+1×24+0×23+1×22+0×21+0×20+0×2−1+1×2−2decimal=1×32+1×16+0×8+1×4+0×2+0×1+0×0.5+1×0.25decimal=32+16+0+4+0+0+0+0.25decimal=52.2510

Answer 7

Chapter 85, Problem 1A

To determine

To express:

A binary number into a decimal number.

Answer 8

Expert Solution & Answer

Answer to Problem 1A

Decimal numbers is 52.25₁₀.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given information:

A binary number 110100.01₂.

Calculation:

The decimal number for integer value is equal to the summation of binary digits (d_n) multiplied by power of 2 i.e. 2ⁿ in increasing order from zero and from right to left.

The decimal number for fractional value is equal to the summation of binary digits (d_n) multiplied by negative power of 2 i.e. 2-n in increasing order from 1 and from left to right.

Decimal of any binary number is equal to

decimal=d0×20+d1×21+d2×22+...