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What is the result of subtracting the binary number 1011 from 1110?

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Final answer:

Subtracting the binary number 1011 from 1110 results in 0011, which is 3 in decimal. The subtraction is performed by borrowing from the left digit when necessary and subtracting each digit from right to left.

Step-by-step explanation:

The student is asking for the result of subtracting the binary number 1011 from 1110. Subtraction in binary works similarly to subtraction in decimal; you subtract digit by digit, starting from the rightmost position, and borrow from the next left digit when necessary. Below is the step-by-step subtraction:

Start from the rightmost digit: 0 - 1. We can't subtract 1 from 0, so we borrow from the next digit to the left, making it 10 in binary. 10 - 1 in binary is 1.

Now, for the next digit, since we borrowed 1, it's now 0. So, 0 - 0 is 0.

Move to the next digit to the left: 1 - 1 is 0.

Finally, the leftmost digit 1 - 1 is also 0.

So, 1110 minus 1011 in binary is 0011, which is 3 in decimal.

User Marco Craveiro
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