Addition Facts in quinary

1. QUINARY NUMBER SYSTEM
ADDITION FACTS IN QUINARY
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
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2. Quinary Number System:
Quinary (base-5 or pental) is a numeral system with five as
the base.
A method of representing number that has 5 as its base and
uses only the digits 0 1 2 3 4.

3. Addition Facts in quinary:
5 = 10
6 = 11
7 = 12
8 = 13 and so on
(a) 2
+ 1
3 (No need to change base)
(b) 3
+ 2
10 (3 + 2 = 5) (5 in base 5 is 10)

4. (c) 4
+ 3
12 (4 + 3 = 7) (7 in base 5 is 12)
(d) 4
+ 4
13 (4+4 =8) (8 in base 5 is 13)

5. Example –17 4 3 2 + 3 4 1
Solution: 4 3 2 (2+1 = 3) (No need to change base)
+ 3 4 1 (3+4 = 7) (7 in base 5 is 12)
1 3 2 3 (1+4+3 = 8) (8 in base 5 is 13)
Example- 18 1 2 4 2 1 4 + 4 0 3 3 1 2
Solution:
1 2 4 2 1 4
+ 4 0 3 3 1 2
1 0 3 3 0 3 1

6. Answers
i) 324 vi) 11111
ii) 444 vii) 12404
iii) 1111 viii) 34140
iv) 2044 ix) 2210
v) 4204 x) 3400
Exercise 1.2
Add the following Quinary numbers.
i) 212 + 112 vi) 3122 + 2434
ii) 232 + 212 vii) 3122 + 4232
iii) 324 + 232 viii) 24403 + 4232
iv) 1220 + 324 ix) 432 + 441 + 232
v) 2434 + 1220 x) 1323 + 1123 + 344