0011001
The string "0011001" is a sequence of binary digits. In the binary numeral system, also known as base-2, only two symbols are used: 0 and 1. Each digit in a binary number represents a power of two, starting from the rightmost digit as 2^0, then 2^1, 2^2, and so on, moving to the left.
To convert "0011001" from binary to decimal, we assign positional values:
The rightmost '1' is in the 2^0 (1s) place.
The '0' to its left is in the 2^1 (2s) place.
The next '0' is in the 2^2 (4s) place.
The '1' is in the 2^3 (8s) place.
The next '1' is in the 2^4 (16s) place.
The two leftmost '0's are in the 2^5 (32s) and 2^6 (64s) places, respectively.
When calculating the decimal value, we sum the products of each digit and its corresponding power of
(0 * 2^6) + (0 * 2^5) + (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (0 * 2^1) + (1 * 2^0)
(0 * 64) + (0 * 32) + (1 * 16) + (1 * 8) + (0 * 4) + (0 * 2) + (1 * 1)
= 25
Therefore, the binary number "0011001" is equivalent to the decimal number 25. This binary sequence could