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
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 0011
Correct Answer
-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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 0011
Your Answer
Correct Answer
-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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0010 1001
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0010 1001
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0010 1001
Your Answer
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1010 1101
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1010 1101
Correct Answer
-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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1010 1101
Your Answer
Correct Answer
-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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1001 1100
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1001 1100
Correct Answer
-100
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
Step 2: Add 1
0110 0100
This number represents 64+32+4 which is 100, so our original number represents -100.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1001 1100
Your Answer
Correct Answer
-100
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
Step 2: Add 1
0110 0100
This number represents 64+32+4 which is 100, so our original number represents -100.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 1000
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 1000
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 1000
Your Answer
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0101 0110
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0101 0110
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0101 0110
Your Answer
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 1100
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 1100
Correct Answer
-36
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
Step 2: Add 1
0010 0100
This number represents 32+4 which is 36, so our original number represents -36.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 1100
Your Answer
Correct Answer
-36
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
Step 2: Add 1
0010 0100
This number represents 32+4 which is 36, so our original number represents -36.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 0100
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 0100
Correct Answer
-44
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
Step 2: Add 1
0010 1100
This number represents 32+8+4 which is 44, so our original number represents -44.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 0100
Your Answer
Correct Answer
-44
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
Step 2: Add 1
0010 1100
This number represents 32+8+4 which is 44, so our original number represents -44.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 0011
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 0011
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
0001 0011
Your Answer
Correct Answer
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.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1011 0000
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1011 0000
Correct Answer
-80
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
Step 2: Add 1
0101 0000
This number represents 64+16 which is 80, so our original number represents -80.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1011 0000
Your Answer
Correct Answer
-80
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
Step 2: Add 1
0101 0000
This number represents 64+16 which is 80, so our original number represents -80.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 1110
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Correct!
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 1110
Correct Answer
-2
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
Step 2: Add 1
0000 0010
This number represents 2, so our original number represents -2.
Question 1 of 10
Binary Numbers: Signed 2's Complement to Decimal
Incorrect
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 1110
Your Answer
Correct Answer
-2
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
Step 2: Add 1
0000 0010
This number represents 2, so our original number represents -2.
Question 1 of 10
Score
You have answered 5 of 10 questions correctly.
50%
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Question 1 of 10
- Author
- Published
- 9/25/2015
- Last Updated
- 9/25/2015
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Binary Numbers: Signed 2's Complement to Decimal by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.