The learner will convert unsigned 8-bit binary numbers to decimal numbers.

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0111 0001 to a decimal number.

## Correct!

Convert the unsigned binary number 0111 0001 to a decimal number.

### 113

Explanation:

$0111\&space;0001&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;113$

OR

$0111\&space;0001&space;=&space;64&space;+&space;32&space;+&space;16&space;+&space;1&space;=&space;113$

Next Question

## Incorrect

Convert the unsigned binary number 0111 0001 to a decimal number.

### 113

Explanation:

$0111\&space;0001&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;113$

OR

$0111\&space;0001&space;=&space;64&space;+&space;32&space;+&space;16&space;+&space;1&space;=&space;113$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0010 0111 to a decimal number.

## Correct!

Convert the unsigned binary number 0010 0111 to a decimal number.

### 39

Explanation:

$0010\&space;0111&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;39$

OR

$0010\&space;0111&space;=&space;32&space;+&space;4&space;+&space;2&space;+&space;1=39$

Next Question

## Incorrect

Convert the unsigned binary number 0010 0111 to a decimal number.

### 39

Explanation:

$0010\&space;0111&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;39$

OR

$0010\&space;0111&space;=&space;32&space;+&space;4&space;+&space;2&space;+&space;1=39$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1111 1111 to a decimal number.

## Correct!

Convert the unsigned binary number 1111 1111 to a decimal number.

### 255

Explanation:

$1111\&space;1111&space;=&space;1&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;255$

OR

This number is one less than 1 0000 0000 which is 256, so it must be 255.

Next Question

## Incorrect

Convert the unsigned binary number 1111 1111 to a decimal number.

### 255

Explanation:

$1111\&space;1111&space;=&space;1&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;255$

OR

This number is one less than 1 0000 0000 which is 256, so it must be 255.

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0100 1100 to a decimal number.

## Correct!

Convert the unsigned binary number 0100 1100 to a decimal number.

### 76

Explanation:

$0100\&space;1100&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;76$

OR

$0100\&space;1100&space;=&space;64&space;+&space;8&space;+&space;4&space;=&space;76$

Next Question

## Incorrect

Convert the unsigned binary number 0100 1100 to a decimal number.

### 76

Explanation:

$0100\&space;1100&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;76$

OR

$0100\&space;1100&space;=&space;64&space;+&space;8&space;+&space;4&space;=&space;76$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1100 0010 to a decimal number.

## Correct!

Convert the unsigned binary number 1100 0010 to a decimal number.

### 194

Explanation:

$1100\&space;0010&space;=&space;1&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;194$

OR

$1100\&space;0010&space;=&space;128&space;+&space;64&space;+&space;2&space;=&space;194$

Next Question

## Incorrect

Convert the unsigned binary number 1100 0010 to a decimal number.

### 194

Explanation:

$1100\&space;0010&space;=&space;1&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;194$

OR

$1100\&space;0010&space;=&space;128&space;+&space;64&space;+&space;2&space;=&space;194$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1000 0001 to a decimal number.

## Correct!

Convert the unsigned binary number 1000 0001 to a decimal number.

### 129

Explanation:

$1000\&space;0001&space;=&space;1&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;129$

OR

This number is 1 more than 1000 0000.  Since 1000 000 is 128, this number is 129.

Next Question

## Incorrect

Convert the unsigned binary number 1000 0001 to a decimal number.

### 129

Explanation:

$1000\&space;0001&space;=&space;1&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;129$

OR

This number is 1 more than 1000 0000.  Since 1000 000 is 128, this number is 129.

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0000 0011 to a decimal number.

## Correct!

Convert the unsigned binary number 0000 0011 to a decimal number.

### 3

Explanation:

$0000\&space;0011&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;3$

OR

$0000\&space;0011&space;=&space;2&space;+&space;1&space;=&space;3$

Next Question

## Incorrect

Convert the unsigned binary number 0000 0011 to a decimal number.

### 3

Explanation:

$0000\&space;0011&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;3$

OR

$0000\&space;0011&space;=&space;2&space;+&space;1&space;=&space;3$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0000 0000 to a decimal number.

## Correct!

Convert the unsigned binary number 0000 0000 to a decimal number.

### 0

Explanation:

$0000\&space;0000&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;0$

OR

Since positional systems work on the place values, since this number has 0 in each place, it must be 0.

Next Question

## Incorrect

Convert the unsigned binary number 0000 0000 to a decimal number.

### 0

Explanation:

$0000\&space;0000&space;=&space;0&space;\times&space;128&space;+&space;0&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;0&space;\times&space;4&space;+&space;0&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;0$

OR

Since positional systems work on the place values, since this number has 0 in each place, it must be 0.

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0100 0110 to a decimal number.

## Correct!

Convert the unsigned binary number 0100 0110 to a decimal number.

### 70

Explanation:

$0100\&space;0110&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;70$

OR

$0100\&space;0110&space;=&space;64&space;+&space;4&space;+&space;2&space;=&space;70$

Next Question

## Incorrect

Convert the unsigned binary number 0100 0110 to a decimal number.

### 70

Explanation:

$0100\&space;0110&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;0&space;\times&space;32&space;+&space;0&space;\times&space;16&space;+&space;0&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;0&space;\times&space;1&space;=&space;70$

OR

$0100\&space;0110&space;=&space;64&space;+&space;4&space;+&space;2&space;=&space;70$

Next Question

## Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0111 1111 to a decimal number.

## Correct!

Convert the unsigned binary number 0111 1111 to a decimal number.

### 127

Explanation:

$0111\&space;1111&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;127$

OR

This number is 1 less than 1000 0000.  Since 1000 0000 is 128, this number must be 127.

Finish

## Incorrect

Convert the unsigned binary number 0111 1111 to a decimal number.

### 127

Explanation:

$0111\&space;1111&space;=&space;0&space;\times&space;128&space;+&space;1&space;\times&space;64&space;+&space;1&space;\times&space;32&space;+&space;1&space;\times&space;16&space;+&space;1&space;\times&space;8&space;+&space;1&space;\times&space;4&space;+&space;1&space;\times&space;2&space;+&space;1&space;\times&space;1&space;=&space;127$

OR

This number is 1 less than 1000 0000.  Since 1000 0000 is 128, this number must be 127.

Finish
##### Question 1 of 10
Binary Numbers: To Decimal Numbers

# Score

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Published
9/25/2015
Last Updated
9/25/2015
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