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
Here's how to convert those numbers: 1. Hexadecimal to Decimal 3C (hexadecimal) Step 1: Break down the hexadecimal number by place value. The rightmost digit is in the 16⁰ place, and the next digit to the left is in the 16¹ place. 3C = (3 × 16¹) + (C × 16⁰) Step 2: Convert the hexadecimal digit 'C' to its decimal equivalent. C in hexadecimal is 12 in decimal. 3C = (3 × 16) + (12 × 1) Step 3: Perform the multiplication and addition. 3C = 48 + 12 3C = 60 (decimal) 1A3 (hexadecimal) Step 1: Break down the hexadecimal number by place value. The rightmost digit is in the 16⁰ place, the next is in the 16¹ place, and the leftmost is in the 16² place. 1A3 = (1 × 16²) + (A × 16¹) + (3 × 16⁰) Step 2: Convert the hexadecimal digit 'A' to its decimal equivalent. A in hexadecimal is 10 in decimal. 1A3 = (1 × 256) + (10 × 16) + (3 × 1) Step 3: Perform the multiplication and addition. 1A3 = 256 + 160 + 3 1A3 = 419 (decimal) 2. Decimal to Hexadecimal 2297 (decimal) Step 1: Repeatedly divide the decimal number by 16 and record the remainders. 2297 ÷ 16 = 143 remainder 9 143 ÷ 16 = 8 remainder 15 (F in hex) 8 ÷ 16 = 0 remainder 8 Step 2: Read the remainders from bottom to top. Convert any remainders 10 or greater to their hexadecimal letter equivalents (10=A, 11=B, 12=C, 13=D, 14=E, 15=F). The remainders are 8, 15 (F), 9. 2297 = 8F9 (hexadecimal) 169 (decimal) Step 1: Repeatedly divide the decimal number by 16 and record the remainders. 169 ÷ 16 = 10 remainder 9 10 ÷ 16 = 0 remainder 10 (A in hex) Step 2: Read the remainders from bottom to top. Convert any remainders 10 or greater to their hexadecimal letter equivalents. The remainders are 10 (A), 9. 169 = A9 (hexadecimal) Send me the next one 📸