Lesson
Title: Basic Operation on Number Bases - Addition.
Objective:
At the end of this lesson, you should be able to perform addition of number bases.
What you should know:
For a better understanding of this lesson, you should be familiar with basic operations.
Introduction:
Just like performing additional on regular numbers which are in base 10, the same process is applicable when performing addition on other bases.
Presentation / Steps:
Given, Add 774 + 447 + 113 all in base 8.
When two or more numbers are to be added based on a given base value, the following step will be used.
Steps:
=> Add all the digits in the same column, starting from right to left and the result should not be greater than the base value.
=> If the result is greater than the base value, subtract the base value from the column result, write down the result gotten from the subtraction, and add 1 to the next column of digits at the left-hand side.
=> If the result is equal to the base value, write down 0 under and add 1 to the next column of digits at the LHS.
=> Else, if the result is less than the base value, write down the result under.
Soln:
=> Using the image above for illustration.
=> The base value is 8.
=> Start by adding 4 + 7 + 3 since they are of the same column, the result is 14 but 14 is greater than 8, so, subtract 8 from 14 and write down the result '6' under and move 1 to the next column at the LHS.
=> 2nd Column: 7 + 4 + 1 + 1(the 1 moved from the previous addition) = 13, but 13 is greater than 8, 13 - 8 = 5, so write 5 and move 1 to the next column at the LHS.
=> 3rd Column: 7 + 4 + 1 + 1(the 1 move from the previous addition) = 13, but 13 is greater than 8, 13 - 8 = 5, so write 5 and move 1 to the next column at the LHS.
=> Last Column is just 1 (moved from the previous addition) and it is less than the base value, so write 1 under.
=>Therefore, 777 + 447 + 113 all in base 8 = 15568
Summary / Conclusion :
In this lesson, we solved addition in another base.
Note that LHS is the same as the left-hand side.