Question

1's complement of 1011101 is ?

a) 0100010
b) 0101110
c) 1001101
d) 1100101

Answer 1

The 1's complement of the binary number 1011101 is found by flipping each bit to its opposite, resulting in the binary number 0100010, which is option a).

Step-by-step explanation:

The 1's complement of a binary number is obtained by flipping all the bits in the number; that is, changing all 1's to 0's and all 0's to 1's. For the binary number 1011101, the 1's complement is calculated by flipping every bit. Starting from the left, the first bit is a 1, so in the 1's complement, it becomes a 0. Continuing this process for each bit, we get the following:

• 1 becomes 0
• 0 becomes 1
• 1 becomes 0
• 1 becomes 0
• 1 becomes 0
• 0 becomes 1
• 1 becomes 0

Putting these together, the 1's complement of 1011101 is 0100010, which corresponds to option a) 0100010.