Decimal Equivalence of 11100111

D

The binary number 11100111 represents a total of 8 bits. In order to convert it to decimal, we need to follow the following steps:

Step 1: Write down the binary number 11100111.

Step 2: Write down the place value of each bit, starting from the right and increasing by powers of 2 (1, 2, 4, 8, 16, 32, 64, 128).

Copy code
 1    1    1    0    0    1    1    1 

128 64 32 16 8 4 2 1

Step 3: Multiply each bit of the binary number with its corresponding place value, and then add the products together.

1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 128 + 64 + 32 + 4 + 2 + 1 = 231

Therefore, the decimal equivalence of the binary number 11100111 is 231.

So the answer is (D) 231.