This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
To convert the decimal number 164 to binary, we use the method of repeated division by 2. Step 1: Divide 164 by 2 and record the remainder. 164 ÷ 2 = 82 remainder 0 Step 2: Divide the quotient (82) by 2 and record the remainder. 82 ÷ 2 = 41 remainder 0 Step 3: Divide the quotient (41) by 2 and record the remainder. 41 ÷ 2 = 20 remainder 1 Step 4: Divide the quotient (20) by 2 and record the remainder. 20 ÷ 2 = 10 remainder 0 Step 5: Divide the quotient (10) by 2 and record the remainder. 10 ÷ 2 = 5 remainder 0 Step 6: Divide the quotient (5) by 2 and record the remainder. 5 ÷ 2 = 2 remainder 1 Step 7: Divide the quotient (2) by 2 and record the remainder. 2 ÷ 2 = 1 remainder 0 Step 8: Divide the quotient (1) by 2 and record the remainder. 1 ÷ 2 = 0 remainder 1 To get the binary representation, read the remainders from bottom to top. The remainders are 1, 0, 1, 0, 0, 1, 0, 0. So, the binary representation of decimal 164 is 10100100_2. 164_10 = 10100100_2 The final answer is 10100100_2. Got more? Send 'em 📸