Question

Find the sum of the binary numbers

1 0 1 1
+ 0 1 1 0

a. 1 1 1 1 1
b. 1 0 0 1 0
c. 1 0 0 0 1
d. 0 1 1 0

Answer 1

To find the sum of binary numbers 1011 and 0110, we add each column starting from the right, carrying over any value above 1, and the final sum is c. 10001.

Step-by-step explanation:

We are going to find the sum of two binary numbers 1011 and 0110. To perform this addition, we align the numbers and add them starting from the rightmost bit (least significant bit) to the leftmost bit (most significant bit), similar to how we do in decimal addition.

Step-by-step binary addition:

• Column 1 (rightmost): 1 + 0 = 1 (write 1)
• Column 2: 1 + 1 = 10 in binary, which means we write 0 and carry over 1.
• Column 3: 0 (carried over) + 0 + 1 = 1 (write 1)
• Column 4: 1 (carried over) + 1 + 0 = 10 in binary, which means we write 0 and carry over 1.
• Column 5 (leftmost): There is nothing to add to the carried over 1, so we write down 1.

The final sum in binary is 10001, which means the correct answer is (c) 1 0 0 0 1.