Divide (1101) by(101) binary base 2?

Question

Answer

Division of Binary Numbers (1101) by (101)

Step 1: Set Up the Division Problem
Write the dividend (1101) and divisor (101) in binary form. Align the divisor with the leftmost digits of the dividend.
Step 2: Perform Division
Start by comparing the divisor to the leftmost digits of the dividend. Since 1101 is greater than 101, we can subtract 101 from 1101. Write down 1 as the first digit of the quotient.
Step 3: Bring Down the Next Digit
Bring down the next digit of the dividend to continue the division process. Now, we have 100 as the new dividend.
Step 4: Perform Division Again
Compare the divisor (101) with the new dividend (100). Since 100 is less than 101, we cannot subtract 101 from 100. Write down 0 as the next digit of the quotient.
Step 5: Bring Down the Last Digit
Bring down the last digit of the dividend. Now, we have 1001 as the new dividend.
Step 6: Perform Final Division
Compare the divisor with the new dividend. Since 1001 is greater than 101, we can subtract 101 from 1001. Write down 1 as the final digit of the quotient.