4. Find the excess-3 code of the given binary number (2 Pts.)
1010
0100
0001
1111
To find the excess-3 code of a given binary number, we need to add the binary number to the excess-3 value (0011). Here's how you can do it step-by-step:
1. Write down the binary number you want to convert to excess-3 code: 1010.
2. Write down the excess-3 value: 0011.
1010
+ 0011
3. Start adding the corresponding digits from right to left.
1 (from the first column in the binary number) + 1 (from the first column in the excess-3 value) = 0 with a carry of 1. Write down the result in the first column of the excess-3 code.
1 (from the second column in the binary number) + 0 (from the second column in the excess-3 value) + 1 (carry from the previous column) = 0 with a carry of 1. Write down the result in the second column of the excess-3 code.
0 (from the third column in the binary number) + 0 (from the third column in the excess-3 value) + 1 (carry from the previous column) = 1 with no carry. Write down the result in the third column of the excess-3 code.
1 (from the fourth column in the binary number) + 1 (from the fourth column in the excess-3 value) = 0 with a carry of 1. Write down the result in the fourth column of the excess-3 code.
4. The resulting excess-3 code is:
0100
Therefore, the excess-3 code of the given binary number 1010 is 0100.