Question

A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2

Answer 1

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$.

Step-by-step explanation:

Considering the following information

• $1$ cup = $1$ cup

• $7$ pints = $14$ cups      ∵ $1$ pint = $2$ cups
• $9$ quarts = $36$ cups    ∵ $1$ quart = $4$ cups

So, total number of cups will be = $51$ cups

Converting $51$ to the base $2$

Divide  $51$ by $2$ by repeatedly and observe remainder

$\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1$

$\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1$

$\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0$

$\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0$

$\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1$

$\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1$

Read and observe the remainder from top to bottom would yield $110011$.

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$.

Keywords: base 2, number

Learn more about number bases from brainly.com/question/13725148

#learnwithBrainly