Number Theory
Problems related to integers, prime numbers, congruences, etc.
Problems in this category
The problem asks to simplify $(11_{two})^2$. The answer should be expressed in base 2.
Number BasesBinary NumbersExponentsBase Conversion
2025/4/11
We are given the equation $101_{two} + 12_y = 23_{five}$, and we need to find the value of $y$. The ...
Number BasesBase ConversionEquation Solving
2025/4/10
Problem 4 asks us to find the least value of $x$ that satisfies the equation $4x \equiv 7 \pmod{9}$....
Modular ArithmeticCongruencesLogarithmsModular Inverse
2025/4/10
A school bus has to make three complete trips. The times, in minutes, for the three trips are $254_6...
Number BasesBase Conversion
2025/4/10
The problem states that Indah Hotel offers free breakfast to guests aged 6 years and below. Guests o...
Number Base ConversionBase ConversionArithmetic
2025/4/10
A pipe is cut into three equal parts. The lengths are given as $0$, $30_4$, $x_6$, and $121_5$. We n...
Number BasesBase ConversionArithmetic
2025/4/10
The problem asks to identify which of the following number conversions is true: A. $11001_2 = 39_{10...
Number Base ConversionsBase 2Base 8Base 5Base 10
2025/4/10
The problem asks for the base-10 value of the underlined digit '6' in the base-8 number $2673_8$.
Number BasesBase ConversionPositional Notation
2025/4/10
Question 9: Find the binary, hexadecimal, or octal number that is equivalent to the decimal value 16...
Number Base ConversionsBinaryHexadecimalOctalDecimal
2025/4/8
The problem asks us to fill in a 2x2 table with numbers less than 100. The rows are "a square number...
Number PropertiesSquare NumbersEven and Odd Numbers
2025/4/4