Answer: 625 in the decimal system is represented as 10000 in the quinary system.
Step-by-step explanation:
To convert the decimal number 625 to the quinary (base-5) number system, you divide 625 by 5 repeatedly and note down the remainders at each step until the quotient becomes zero.
Here's the step-by-step conversion:
625 ÷ 5 = 125 with a remainder of 0
125 ÷ 5 = 25 with a remainder of 0
25 ÷ 5 = 5 with a remainder of 0
5 ÷ 5 = 1 with a remainder of 0
1 ÷ 5 = 0 with a remainder of 1
Reading the remainders from bottom to top, we get the quinary representation:
625 (decimal) = 10000 (quinary)
