Binary Number Operation
Basic of Binary Number:
What is Binary Number??
Binary number is number that represent as 0 and 1.
What is Binary Number Operation??
Binary number operation is addition, subtraction, multiplication or division of binary numbers. Binary number can be add, subtract, multiply, and divide between 2 different binary numbers. For example: 0001 + 1010 = 1011 1010 - 0001 = 1001 1010 x 0001 = 1010 1010 0001 = 1010 But how to get this answer in manual way??
Binary Addition
What is RULE of Binary Addition Operation??
Binary Rule 0+0=0 0+1=1 1+0=1 1+1=0 Sum 0 1 1 0 Carry 0 0 0 1
How to do Binary Addition Step by Step instruction :=? Step 1: First of all, we need to add binary number so we need to change writing form like below:
Step 2: We start our addition from right to left, and add it using (Binary Operation Rule) .Based on table above 1 + 0 = 1 :
Step 3: Continue with second part, 1 + 1 = 0 and carry 1 to next number just like in picture below:
Step 4: At this point we need to add three number 1 (carry from previous step) + 0 + 1. Based in table we know 1 + 0 = 1 and 1 + 1 = 0 with carry of 1.
Step 5: Basic addition based on table, 1(carry) + 0 = 1.
Step 6: Lastly bring down other number as show below:
We know that
Binary Subtraction
What is RULE of Binary Subtraction Operation??
Binary Rule 0-0=0 0-1=1 1-0=1 1-1=0 Sum 0 1 1 0 Borrow 0 10 0 0
How to do Binary Subtraction Step by Step instruction :=? Step 1: The first step same as addition operation change writing form like below:
Step 2: We start our subtraction from right to left, and minus it using (Binary Operation Rule) .Based on table above 0 - 0 = 0 :
Step 3: Continue with second part, 0 - 1 = 1 (based on table above) and borrow 1 from next number just like in picture below:
Step 4: We continue over subtraction, where 0 0 = 0.
Step 5: Finally, do 1 1 where we 0 (for both last part) as show as below:
We know that
Binary Multiplication
What is RULE of Binary Multiplication Operation??
Binary Rule 0x0=0 0x1=0 1x0=0 1x1=1 Multiply 0 0 0 1
How to do Binary Multiplication Step by Step instruction :=? Step 1: The first step same as both operation above, change writing form like below:
Step 2: We need to multiply and 1 x 1 = 1.
with 1 in second line (from right to left).where we can get, 0 x 1 = 0
Step 3: Same as step 2 we need to multiply 1 (in second line) with
, where we can get 1010.
Step 4: Same as step 2 and 3, we need to 1010 x 1 (in second line where 1 in left side) .As show in below picture.
Step 5: Finally we need to add all of 3 line answer we get from multiply 1010 x 111 using Addition Operation Rule.
We know that
Binary Division
What is RULE of Binary Division Operation??
Binary Rule 0 0=0 0 1=0 1 0=0 1 1=1 Divide 0 0 0 1
How to do Binary Division Step by Step instruction :=? Step 1: The first step same as other operation above, change writing form like below:
Step 2: We need to divide
by 10. So the next step like below.
Step 3: Base on picture below, 1 (from right) in 1010 bring down and minus by 0 since 1 cant divide by 10, and is continue by Bring down 0.
Step 4: Finally, we can get answer by 10 10 =1.
We know that
