Question

Write the 2's complement of 1100.

Hint:

To find the 2's complement, first invert all the bits (change 1’s to 0’s and 0’s to 1’s), then add 1 to the least significant bit.

Answer 1

To find the 2's complement of a binary number, follow these steps:
Step 1: Invert the digits (1’s complement):
Flip each bit of the binary number. \[ \text{Original: } 1100 \quad \Rightarrow \quad \text{1's complement: } 0011 \]
Step 2: Add 1 to the result:
\[ 0011 + 1 = 0100 \] So, the 2's complement of 1100 is 0100.

Final Answer:
- The 2's complement of the binary number1100 is0100.