10110001010<\/strong>. Each digit in this binary representation represents a specific power of 2. We can calculate the decimal value of a binary number by multiplying each digit by the corresponding power of 2 and summing them up.<\/p>\nStarting from the rightmost digit, the powers of 2 associated with each position are as follows:
\n2^0, 2^1, 2^2, 2^3, 2^4, 2^5, 2^6, 2^7, 2^8, 2^9, 2^10.<\/p>\n
Now, let’s perform the calculations:<\/p>\n
1 * 2^0 = 1
\n0 * 2^1 = 0
\n1 * 2^2 = 4
\n0 * 2^3 = 0
\n0 * 2^4 = 0
\n0 * 2^5 = 0
\n1 * 2^6 = 64
\n1 * 2^7 = 128
\n0 * 2^8 = 0
\n0 * 2^9 = 0
\n1 * 2^10 = 1024<\/p>\n
Adding all these values together: 1 + 0 + 4 + 0 + 0 + 0 + 64 + 128 + 0 + 0 + 1024 = 1221.<\/p>\n
So, the decimal value of 1410 in binary is 1221<\/strong>.<\/p>\n