answersLogoWhite

0


Best Answer

Easy solution

1. Convert numbers to base 10

2. Add

3. Convert result to base n

To add without converting, follow these steps Adding 2 Numbers in a Different Base:

A. Adding numbers in a different base is similar to adding numbers in base 10.

1. Add the one's digits first like you would in base 10.

2. If the number is less than the base, write it down. If the number is greater than

or equal to the base, you must carry. So find the remainder after dividing by

the base and write it down (i.e. n MOD b) and to find the number you should

carry, find out how many times b will go into n (i.e. n DIV b).

3. Continue adding the next digits as described in step 2 until all numbers are

added. Don't forget to add in any carried numbers.

4. Note: You must add the digits from the right to left. In other words, add the

ones digit first, followed by the tens digit, and so on.

Ex [1] 143

5

+ 41

5

=_________

5

.

a. 3 + 1 = 4. Since 4 is less than 5, write it down.

b. 4 + 4 = 8. Since 8 is greater than 5, we must carry. 8 Mod 5 = 3.

Write down 3. 8 DIV 5 = 1. Carry the *1.

c. 1 + *1 = 2. Since 2 is less than 5, write it down.

d. The answer is 234.

Ex [2] 222

3

+ 121

3

+ 220

3

=________

3

.

a. 2 + 1 + 0 = 3. Since 3 is equal to 3, we must carry. 3 MOD 3 = 0.

Write this down. 3 DIV 3 = 1. Carry *1.

b. 2 + 2 + 2 = 6 + *1 = 7. Since 7 is greater than 3, we must carry.

7 MOD 3 = 1. Write down 1. 7 DIV 3 = 2. Carry *2.

c. 2 + 1 + 2 = 5 + *2 = 7. Since 7 is greater than 3, we must carry.

7 MOD 3 = 1. Write down 1. 7 DIV 3 = 2. Since there are no

more numbers we can just write down 2.

d. The answer is 2110.

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you add numbers in base n?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What two numbers do you have to add to make the word hell on your calculator?

Add any two numbers that add to 1134 or 7734. So pick any number, say n. Calculate the second number as 1134 - n or 7734 - n. Add these two.


How do you find the perimeter of of base?

To find the perimeter of the base, you must add all the numbers on the base together!


If you add up all the numbers from 1 to 1000 what do you get?

Sum of first n numbers = n/2(n +1) = 500 x 1001 = 500500


Three consecutive numbers that add up to a multiple of three?

EVERY three consecutive numbers add to a multiple of 3: Proof: numbers are n, n + 1 and n + 2. The total is 3n + 3 or 3(n + 1) This means that for any three consecutive numbers, the total is 3 times the middle number.


What five consecutive numbers make 115?

Let the consecutive numbers be n,n+1, n+2, n+3, & n+ 4. Add n + (n+1)+(n+2) + (n + 3) + ( n + 4) = 115 5n + 10 = 115 5n = 105 n = 21 N+1 = 22 n+2 = 23 n+3 = 24 n + 4 = 25 So the five consecutive numbers are 21,22,23,24 & 25.


How do you find two consecutive numbers?

Pick a number. Add or subtract 1 to or from it.


What five consecutive odd numbers total 235?

Let the odd numbers be n-4, n- 2, n, n + 2 , n + 4 Hence summing. (n - 4) + (n - 2) + n + ( n + 2) + (n + 4) = 235 5n = 235 (NB The constants add to zero) n = 235/ 5 n = 47 Hence the other four odd numbers are, 43,45,49,51


What do you get if you add every number from 1 to 100?

5050 To add all numbers from 1 to n: (n/2)(n + 1), in this case n = 100 so it is 50 x 101...


What 5 consecutive numbers add up to 23?

28


When multiplying a number exponents that are squared do you add or multiply?

If the base numbers or variables are the same, you add the exponents.


If you add the numbers 1-50 what will be the answer?

-49


What are two consecutive numbers adding to 507?

n + (n + 1) = 507 2n + 1 = 507 2n = 506 n = 253 therefore 253 and 254 are consecutive numbers that add to 507.