Question

What will be the possible decimal equivalent for binary number 1101110​

Answer 1

The decimal equivalent of the binary number 1101110 is 110. This is determined by assigning and summing the powers of 2 corresponding to the positions of the '1' digits in the binary number.

Step-by-step explanation:

To find the decimal equivalent of the binary number 1101110, we need to understand how binary to decimal conversion works. Each digit in a binary number represents a power of 2. Starting from the right (the least significant bit), the first digit represents 20, the second digit 21, and so on.

1. 1101110 (binary) - Starting from the right, write down the powers of 2: 20, 21, 22, 23, 24, 25, 26.
2. Assign the binary digits to these powers: 1(26), 1(25), 0(24), 1(23), 1(22), 1(21), 0(20).
3. Calculate the powers of 2 wherever there's a 1: 64 + 32 + 0 + 8 + 4 + 2 + 0.
4. Add these values together to get the decimal equivalent: 110 (decimal).

So the binary number 1101110 is equal to 110 in decimal form. Remember that zero in binary (0) is not counted in the conversion, which is why we ignore the powers of 2 that correspond to a binary zero.