Question

In: Computer Science

Subtract in binary

Subtract in binary

Solutions

Expert Solution

Hello student,

Steps for Binary Subtraction are:

1: Start from the column of Least significant bit.

2: Subtract vertically like in usual subtraction process, following the rules of binary subtraction.

3: Only if needed, borrow from the next column.

Rules for Binary Subtraction

X

-

Subtract

Y

Result

Borrow

0

-

0

0

0

0

-

1

1

1

1

-

0

1

0

1

-

1

0

0

Example-

Let us subtract 12 (1100) and 6 (0110)

Here ( ) symbol means carrying 1. (Rules of binary subtraction)

In third column from the Lsb after borrowing 1, that place becomes 0. Same with the 4th column too.

We get answer as 0110 which is 6.

Subtracting 12 and 6 in decimal form also gives 6.

Thus correct.

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