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
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.
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
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.
1001 1100
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1001 1100
-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.
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1001 1100
-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.
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
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.
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
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.
1101 1100
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 1100
-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.
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 1100
-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.
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
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.
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1101 0100
-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.
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
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.
1011 0000
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1011 0000
-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.
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1011 0000
-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.
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
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.
Convert the 2's complement signed binary number below to its signed decimal equivalent.
1111 1110
-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.
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