Question

(5) Add the following two binary numbers together. Take that result, and XOR it with the shown binary number. Then take those results, and NOR it together with the last binary number. (40 pts.) please show the steps

Step 1: 1001101 + 1010
Step 2: XOR 1011001
Step 3: NOR 110110

Answer 1

Here are the steps to solve the problem:

Step 1: 1001101 + 1010 To add these two binary numbers together, we need to align them by their least significant bit (rightmost bit) and then add them column by column:

1001101

+ 1010

--------

1011001

Copy

So the result of step 1 is 1011001.

Step 2: XOR 1011001 To XOR two binary numbers, we compare their bits column by column. If the bits are the same (both 0 or both 1), the result is 0. If the bits are different (one is 0 and the other is 1), the result is 1:

1011001

^ 1011001

--------

0000000

Copy

So the result of step 2 is 0000000.

Step 3: NOR 110110 To NOR two binary numbers, we first OR them and then NOT the result. To OR two binary numbers, we compare their bits column by column. If at least one of the bits is 1, the result is 1. If both bits are 0, the result is 0. To NOT a binary number, we flip all its bits (0 becomes 1 and vice versa):

OR:

0000000

| 110110

--------

110110

NOT:

~110110

--------

001001

So, the final result of step 3 is 001001.