Answer :
Certainly! Let’s convert each of the given numbers to the quinary (base-5) number system step by step.
### Convert the following numbers to the quinary number system:
##### (a) 9
To convert 9 to the quinary system:
The answer is 14.
##### (b) 13
To convert 13 to the quinary system:
The answer is 23.
##### (c) 21
To convert 21 to the quinary system:
The answer is 41.
##### (d) 26
To convert 26 to the quinary system:
The answer is 101.
##### (e) 45
To convert 45 to the quinary system:
The answer is 140.
##### (f) 55
To convert 55 to the quinary system:
The answer is 210.
##### (g) 497
To convert 497 to the quinary system:
The answer is 3442.
##### (h) 650
To convert 650 to the quinary system:
The answer is 10100.
### Summary of Converted Numbers:
(a) 9 in base-5 is 14.
(b) 13 in base-5 is 23.
(c) 21 in base-5 is 41.
(d) 26 in base-5 is 101.
(e) 45 in base-5 is 140.
(f) 55 in base-5 is 210.
(g) 497 in base-5 is 3442.
(h) 650 in base-5 is 10100.
These solutions provide the quinary representations for each of the given numbers.
### Convert the following numbers to the quinary number system:
##### (a) 9
To convert 9 to the quinary system:
The answer is 14.
##### (b) 13
To convert 13 to the quinary system:
The answer is 23.
##### (c) 21
To convert 21 to the quinary system:
The answer is 41.
##### (d) 26
To convert 26 to the quinary system:
The answer is 101.
##### (e) 45
To convert 45 to the quinary system:
The answer is 140.
##### (f) 55
To convert 55 to the quinary system:
The answer is 210.
##### (g) 497
To convert 497 to the quinary system:
The answer is 3442.
##### (h) 650
To convert 650 to the quinary system:
The answer is 10100.
### Summary of Converted Numbers:
(a) 9 in base-5 is 14.
(b) 13 in base-5 is 23.
(c) 21 in base-5 is 41.
(d) 26 in base-5 is 101.
(e) 45 in base-5 is 140.
(f) 55 in base-5 is 210.
(g) 497 in base-5 is 3442.
(h) 650 in base-5 is 10100.
These solutions provide the quinary representations for each of the given numbers.