Question

The binary number 1101101 converted to decimal number is​

Answer 1

The binary number 1101101 converts to the decimal number 109 by multiplying each bit of the binary number by increasing powers of 2 and adding the results.

Step-by-step explanation:

To convert the binary number 1101101 to a decimal number, each bit represents an increasing power of 2, starting from the rightmost bit. Here's how the conversion is performed, with powers of 2:

1. (1 × 2^6) = 1 × 64 = 64
2. (1 × 2^5) = 1 × 32 = 32
3. (0 × 2^4) = 0 × 16 = 0
4. (1 × 2^3) = 1 × 8 = 8
5. (1 × 2^2) = 1 × 4 = 4
6. (0 × 2^1) = 0 × 2 = 0
7. (1 × 2^0) = 1 × 1 = 1

Add all the products together: 64 + 32 + 0 + 8 + 4 + 0 + 1 = 109. Hence, the binary number 1101101 converted to a decimal number is 109.

Answer 2

109

Step-by-step explanation: