BINARY ARTHMETIC

Binary Arithmetic

Binary arithmetic is used in digital systems mainly because the numbers (decimal and floating-point numbers) are stored in binary format in most computer systems. All arithmetic operations such as addition, subtraction, multiplication, and division are done in binary representation of numbers. It is necessary to understand the binary number representation to figure out binary arithmetic in digital computers.

     * Binary Addition

     * Binary Subtraction

     * Binary Multiplication

     * Binary Division


Binary Addition:

          It is a key for binary subtraction, multiplication, division. There are four rules of binary addition.

fourth case, a binary addition is creating a sum of (1 + 1 = 10) i.e. 0 is written in the given column and a carry of 1 over to the next column.

Example − Addition

Addition Example

Binary Subtraction:


Subtraction and Borrow, these two words will be used very frequently for the binary subtraction. There are four rules of binary subtraction.

Subtraction Table

Example − Subtraction

Subtraction Example

Binary Multiplication:

     Binary multiplication is similar to decimal multiplication. It is simpler than decimal multiplication because only 0s and 1s are involved. There are four rules of binary multiplication.
Multiplication Table

Example − Multiplication

Multiplication Example


Binary Division:

      Binary division is similar to decimal division. It is called as the long division procedure.

Example − Division

Division Example

      Rules for Arithmetic



       *****************


Comments

Post a Comment

Popular posts from this blog

canonical form

Image
Canonical Forms :          Two dual canonicali  of min terms " and a "product of max terms."             The term "Sum of Products" (SoP or SOP) is widely used for the  canonical form  that is a dis junction (OR) of min terms.               The  SOP  (Sum of Product) and   POS  (Product of Sum) arethe methods for deducing a particular logic function. ...                      The prior difference between the  SOP and POS  is that the  SOP contains the OR of the multiple product terms. Conversely,  POS produces a logical expression comprised of the AND of the multiple OR terms.        SOP Vs POS       CANONICAL FORMS OF SUM OF PRODUCT :                 Canonical  SoP form  means  Canonical  form  of Sum of Products.  In this  form , each  product  term contains all literals. So, these  product  terms are nothing but the min terms.Hence,  canonical  SoP  form  is also called as  sum  of min terms  form .       CANONICAL FORM OF PRODUCT OF SUM          
Read more

NUMBER CONVERSION

Image
Number conversion Binary conversion to other conversion Binary to decimal binary to hexa decimal binary to octal  decimal to other conversion Decimal to binary .  decimal to hexa decimal  decimal to octal  octal to other conversion  Octal to decimal   octal to binary octal to hexa decimal  hexa decimal to other conversion  Hexa decimal to decimal hexa decimal to binary hexa decimal to octal
Read more