Problems

Convert the binary number $10011$ into decimal, and convert the decimal number $28$ into binary. Multiply by $2$ as binary numbers both $10011$ and the result of conversion of $28$ into binary numbers.

The ternary numeral system has only $3$ digits: $0,$ $1$ and $2$. Therefore the number $3$ is written in ternary as $10$. Write down the numbers $23$ and $156$ in ternary and add them as ternary.

Write down the first fifteen numbers in binary system.

Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written as combinations of letters from the Latin alphabet, each letter with a fixed integer value:

I&V&X&L&C&D&M
1&5&10&50&100&500&1000

For example the first $12$ numbers in Roman Numerals are written as: $I,II,III,IV,V,VI,VII,VIII,IX,X,XI,XII$, where the notations $IV$ and $IX$ can be read as "one less than five" and "one less than ten" correspondingly. A number containing two or more decimal digits is built by appending the Roman numeral equivalent for each digit, from highest to lowest, as in the following examples: the current year $2024$ as $MMXXIV$, number $17$ as $XVII$ and number $42$ as $XLII$ or $XXXXII$. Let’s see how to multiply Roman numerals by multiplying $17$ and $42$.

Write down in Roman numerals the numbers $14$ and $61$ and multiply them as Roman numerals.