A binary number (1000100)₂ can be converted to a decimal number(68)₁₀. State true or false

The binary number 1000100 represents a decimal number as follows:

1. Write the binary number as a sum of powers of 2:

   (1000100)2 = (1 × 26) + (0 × 25) + (0 × 24) + (0 × 23) + (1 × 22) + (0 × 21) + (0 × 20)

2. Calculate each term:

   (1000100)2 = 64 + 0 + 0 + 0 + 4 + 0 + 0

3. Add the values:

   (1000100)2 = 68

Therefore, the binary number 1000100 is equal to the decimal number 68. So, the statement that (1000100)₂ = (68)₁₀ is true.