1101001110
1101001110 is a binary number. Binary is a base-2 numeral system, meaning it only uses two digits, 0 and 1. This contrasts with the decimal system, which is base-10 and uses digits 0 through 9. In the binary system, each digit's position represents a power of 2, starting from the rightmost digit as 2 to the power of 0.
To convert 1101001110 from binary to decimal, we can assign weights to each digit based on its
The first 0 is in the 2^0 (1s) place.
The next 1 is in the 2^1 (2s) place.
The next 1 is in the 2^2 (4s) place.
The next 0 is in the 2^3 (8s) place.
The next 0 is in the 2^4 (16s) place.
The next 1 is in the 2^5 (32s) place.
The next 0 is in the 2^6 (64s) place.
The next 1 is in the 2^7 (128s) place.
The next 1 is in the 2^8 (256s) place.
The leftmost 1 is in the 2^9 (512s) place.
Summing the values where there is a 1:
1 * 2^9 + 1 * 2^8 + 0 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 1 * 2^3 + 1
= 512 + 256 + 0 + 64 + 0 + 0 + 8 + 4 + 2 + 0
= 846
Therefore, the binary number 1101001110 is equivalent to the decimal number 846. Binary numbers are fundamental