This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To simplify the expression, we first convert both numbers to base 10. Step 1: Convert 1321_4 to base 10. 1321_4 = 1 × 4^3 + 3 × 4^2 + 2 × 4^1 + 1 × 4^0 1321_4 = 1 × 64 + 3 × 16 + 2 × 4 + 1 × 1 1321_4 = 64 + 48 + 8 + 1 1321_4 = 121_10 Step 2: Convert 11100_2 to base 10. 11100_2 = 1 × 2^4 + 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 0 × 2^0 11100_2 = 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 11100_2 = 16 + 8 + 4 + 0 + 0 11100_2 = 28_10 Step 3: Perform the subtraction in base 10. 121_10 - 28_10 = 93_10 The simplified answer in base 10 is 93.