1. Binary Addition
2. Binary Subtraction

**Binary Arithmetic**

As decimal numbers, the binary
numbers also permit computations like addition, subtraction, multiplication and
division. The following session deals only with binary addition and
subtraction.

The following table is useful when
adding two binary numbers.

In 1 + 1 = 10, is considered as
sum 0 and the 1 as carry bit. This carry bit is added with the previous
position of the bit pattern.

**Example
**Perform Binary addition for the** **following: 23_{10} + 12_{10}

Step 1: Convert 23 and 12 into
binary form

Step 2: Binary addition of 23 and
12:

The table for Binary Subtraction
is as follows:

When subtracting 1 from 0, borrow
1 from the next Most Significant Bit, when borrowing from the next Most
Significant Bit, if it is 1, replace it with 0. If the next Most Significant
Bit is 0, you must borrow from a more significant bit that contains 1 and
replace it with 0 and 0s upto that point become 1s.

**Example
**Subtract 1001010_{2}** **– 10100_{2}

**Example
**Perform binary addition for the** **following: (–21)_{10} + (5)_{10}

Step 1: Change -21 and 5 into
binary form

Step 2:

Step 3:

Binary Addition of –21 and 5 :

Tags : Example, Step | Binary Addition and Subtraction , 11th Computer Science : Chapter 2 : Number Systems

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11th Computer Science : Chapter 2 : Number Systems : Binary Arithmetic | Example, Step | Binary Addition and Subtraction

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