These interactive flashcards will coach the student on how to convert 8-bit signed (using the 2's complement method) numbers to their decimal equivalent.

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 0011

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 0011

### -13

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0000 1100

0000 1101

This number represents 8+4+1 which is 13, so our original number represents -13.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 0011

### -13

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0000 1100

0000 1101

This number represents 8+4+1 which is 13, so our original number represents -13.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0010 1001

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0010 1001

### 41

Explanation:

Since this number has a 0 in the most significant digit, it is positive. So we just need to calculate the decimal equivalent, 32+8+1=41.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0010 1001

### 41

Explanation:

Since this number has a 0 in the most significant digit, it is positive. So we just need to calculate the decimal equivalent, 32+8+1=41.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1010 1101

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1010 1101

### -83

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0101 0010

0101 0011

This number represents 64+16+2+1 which is 83, so our original number represents -83.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1010 1101

### -83

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0101 0010

0101 0011

This number represents 64+16+2+1 which is 83, so our original number represents -83.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1001 1100

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1001 1100

### -100

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0110 0011

0110 0100

This number represents 64+32+4 which is 100, so our original number represents -100.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1001 1100

### -100

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0110 0011

0110 0100

This number represents 64+32+4 which is 100, so our original number represents -100.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 1000

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 1000

### 24

Explanation:

Since this number has a 0 in the most significant digit, it is positive.  So we just need to calculate the decimal equivalent, 16+8=24.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 1000

### 24

Explanation:

Since this number has a 0 in the most significant digit, it is positive.  So we just need to calculate the decimal equivalent, 16+8=24.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0101 0110

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0101 0110

### 86

Explanation:

Since this number has a 0 in the most significant digit, it is positive.  So we just need to calculate the decimal equivalent, 64+16+4+2=86.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0101 0110

### 86

Explanation:

Since this number has a 0 in the most significant digit, it is positive.  So we just need to calculate the decimal equivalent, 64+16+4+2=86.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 1100

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 1100

### -36

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0010 0011

0010 0100

This number represents 32+4 which is 36, so our original number represents -36.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 1100

### -36

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0010 0011

0010 0100

This number represents 32+4 which is 36, so our original number represents -36.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 0100

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 0100

### -44

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0010 1011

0010 1100

This number represents 32+8+4 which is 44, so our original number represents -44.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1101 0100

### -44

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0010 1011

0010 1100

This number represents 32+8+4 which is 44, so our original number represents -44.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 0011

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 0011

### 19

Explanation:

Since this number has a 0 in the most significant digit, it is positive. So we just need to calculate the decimal equivalent, 16+2+1=19.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

0001 0011

### 19

Explanation:

Since this number has a 0 in the most significant digit, it is positive. So we just need to calculate the decimal equivalent, 16+2+1=19.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1011 0000

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1011 0000

### -80

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0100 1111

0101 0000

This number represents 64+16 which is 80, so our original number represents -80.

Next Question

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1011 0000

### -80

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0100 1111

0101 0000

This number represents 64+16 which is 80, so our original number represents -80.

Next Question

## Binary Numbers: Signed 2's Complement to Decimal

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 1110

## Correct!

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 1110

### -2

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0000 0001

0000 0010

This number represents 2, so our original number represents -2.

Finish

## Incorrect

Convert the 2's complement signed binary number below to its signed decimal equivalent.

1111 1110

### -2

Explanation:

Since this number has a 1 in the most significant digit, it is negative. So we will perform the two steps to find the value.

Step 1: Complement the number

0000 0001

0000 0010

This number represents 2, so our original number represents -2.

Finish
##### Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal

# Score

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