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.

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

1111 0011

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

1111 0011

-13

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

Step 2: Add 1

0000 1101

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

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

1111 0011

-13

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

Step 2: Add 1

0000 1101

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

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

0010 1001

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

0010 1001

41

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.

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

0010 1001

41

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

1010 1101

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

1010 1101

-83

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

Step 2: Add 1

0101 0011

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

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

1010 1101

-83

Step 1: Complement the number

0101 0010

Step 2: Add 1

0101 0011

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

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

1001 1100

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

1001 1100

-100

Step 1: Complement the number

0110 0011

Step 2: Add 1

0110 0100

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

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

1001 1100

-100

Step 1: Complement the number

0110 0011

Step 2: Add 1

0110 0100

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

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

0001 1000

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

0001 1000

24

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.

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

0001 1000

24

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

0101 0110

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

0101 0110

86

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.

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

0101 0110

86

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

1101 1100

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

1101 1100

-36

Step 1: Complement the number

0010 0011

Step 2: Add 1

0010 0100

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

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

1101 1100

-36

Step 1: Complement the number

0010 0011

Step 2: Add 1

0010 0100

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

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

1101 0100

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

1101 0100

-44

Step 1: Complement the number

0010 1011

Step 2: Add 1

0010 1100

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

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

1101 0100

-44

Step 1: Complement the number

0010 1011

Step 2: Add 1

0010 1100

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

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

0001 0011

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

0001 0011

19

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.

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

0001 0011

19

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

1011 0000

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

1011 0000

-80

Step 1: Complement the number

0100 1111

Step 2: Add 1

0101 0000

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

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

1011 0000

-80

Step 1: Complement the number

0100 1111

Step 2: Add 1

0101 0000

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

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

1111 1110

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

1111 1110

-2

Step 1: Complement the number

0000 0001

Step 2: Add 1

0000 0010

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

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

1111 1110

-2

Step 1: Complement the number

0000 0001

Step 2: Add 1

0000 0010

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

Binary Numbers: Signed 2's Complement to Decimal

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- Author

- Published
- 9/25/2015

- Last Updated
- 9/25/2015

Binary Numbers: Signed 2's Complement to Decimal by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.