Given number is 65. Convert into binary. Convert into quinary. Express as scientific notation of given.

To convert the given number, 65, into different number systems and express it in scientific notation, follow these steps:

Convert 65 to Binary:
Binary is a base-2 number system that uses only two digits, 0 and 1. To convert 65 to binary, divide the number by 2 and record the remainder. Repeat the process with the quotient until the quotient is 0.
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65 \div 2 & = 32 \text{ remainder } 1 \ 32 \div 2 & = 16 \text{ remainder } 0 \ 16 \div 2 & = 8 \text{ remainder } 0 \ 8 \div 2 & = 4 \text{ remainder } 0 \ 4 \div 2 & = 2 \text{ remainder } 0 \ 2 \div 2 & = 1 \text{ remainder } 0 \ 1 \div 2 & = 0 \text{ remainder } 1 \ \end{align*}]
Reading the remainders from bottom to top, 65 in binary is **1000001**.


Convert 65 to Quinary:
Quinary is a base-5 number system. To convert 65 to quinary, divide the number by 5 and record the remainder. Repeat the process with the quotient until the quotient is 0.
[\begin{align*}


65 \div 5 & = 13 \text{ remainder } 0 \ 13 \div 5 & = 2 \text{ remainder } 3 \ 2 \div 5 & = 0 \text{ remainder } 2 \ \end{align*}]
Reading the remainders from bottom to top, 65 in quinary is **230**.


Express 65 in Scientific Notation:
Scientific notation is a way to express numbers as a product of a coefficient and a power of 10. For 65, the coefficient should be a number between 1 and 10. In this case, we can express 65 as:
6.5 × 1 0 1


These conversions are often used in various fields of mathematics and computing to simplify calculations or to use different numeral systems, especially in computer science and digital electronics.

Answered by OliviaLunaGracy | 2025-07-21