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
You're on a roll — 11. Write 496 in Roman numerals. Step 1: Break down the number 496 into its place values for Roman numeral conversion. 400 is represented as CD (500 - 100). 90 is represented as XC (100 - 10). 6 is represented as VI (5 + 1). Step 2: Combine the Roman numeral representations. 496 = CD + XC + VI = CDXCVI The Roman numeral is CDXCVI. 13. Convert 23_ten to binary. Step 1: Divide 23 by 2 and record the remainder. 23 ÷ 2 = 11 remainder 1 Step 2: Divide the quotient (11) by 2 and record the remainder. 11 ÷ 2 = 5 remainder 1 Step 3: Continue dividing the quotient by 2 until the quotient is 0. 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Step 4: Read the remainders from bottom to top to get the binary number. 23_ten = 10111_two 15. Add: 101_two + 11_two Step 1: Add the rightmost digits (least significant bits). 1_two + 1_two = 10_two. Write down 0, carry over 1. Step 2: Add the next column of digits, including the carry-over. 0_two + 1_two + 1_carry = 10_two. Write down 0, carry over 1. Step 3: Add the leftmost digits, including the carry-over. 1_two + 0_two + 1_carry = 10_two. Write down 10. & 1 \ 0 \ 1_two \\ + & 1 \ 1_two \\ & 1 \ 0 \ 0 \ 0_two The sum is 1000_two. What's next?