The number 101100101\(2\) in denary is

To convert the binary number 101100101 to decimal (denary), we can use the positional notation system. Each digit in a binary number represents a power of 2, starting from the rightmost digit with 2^0, then increasing by a power of 2 for each subsequent digit (i.e., 2^1, 2^2, 2^3, etc.). Starting from the rightmost digit in 101100101, we have: 1 × 2^0 = 1 0 × 2^1 = 0 1 × 2^2 = 4 0 × 2^3 = 0 0 × 2^4 = 0 1 × 2^5 = 32 1 × 2^6 = 64 0 × 2^7 = 0 1 × 2^8 = 256 Adding up the results, we get: 1 + 0 + 4 + 0 + 0 + 32 + 64 + 0 + 256 = 357 Therefore, the decimal (denary) equivalent of the binary number 101100101 is 357.