Convert (1001123)4(1001123)4in decimal form.

To convert a number from base 4 to decimal, you need to understand that each digit in the base 4 number represents a power of 4.

The number (1001123)4 is a 7-digit number, so we will start from the rightmost digit (also known as the least significant digit) and move to the leftmost digit (the most significant digit).

Here's the step-by-step conversion:

1. Take each digit in the base 4 number, multiply it by 4 raised to the power of its position, starting from 0 at the rightmost digit.

2. Add up all these values.

Let's do the conversion:

3 * 4^0 = 3 2 * 4^1 = 8 1 * 4^2 = 16 1 * 4^3 = 64 0 * 4^4 = 0 0 * 4^5 = 0 1 * 4^6 = 4096

Now, add all these values together: 3 + 8 + 16 + 64 + 0 + 0 + 4096 = 4187

So, (1001123)4 in decimal form is 4187.