What is the binary result of the following subtraction?

1101 – 0110

Explanation:

Binary Subtraction:

Problem Statement: The question asks for the binary result of the subtraction 1101 - 0110. To solve this, we will perform binary subtraction step-by-step.

Step-by-Step Solution:

Binary subtraction follows similar rules to decimal subtraction but operates on base-2 digits (0 and 1). In binary subtraction, if a digit is being subtracted from a smaller digit, borrowing is required from the higher-order bit.

• Step 1: Write both binary numbers one below the other, aligning the digits by place value.
• Step 2: Subtract column-wise from right to left, applying borrowing if required.

Binary Numbers:

Minuend (top number): 1101

Subtrahend (bottom number): 0110

Subtraction Process:

1. Rightmost column: 1 - 0 = 1
2. Second column from the right: 0 - 1 requires borrowing. Borrow 1 from the left (making the third column from the right 0). Now, 10 - 1 = 1.
3. Third column from the right: After borrowing, 0 - 1 = 1 (borrowing again from the leftmost column).
4. Leftmost column: 1 - 0 = 1.

Final Binary Result:

The result of the subtraction is: 111.

Correct Option:

The correct answer is Option 3, which corresponds to the binary result 111.