Answer
The binary code for $F$ is:
$1000110$
Work Step by Step
The essay states that the uppercase letter $F$ is assigned the number $70$.
To find the binary representation for this, use division.
The place values in base two are $..., 2^7, 2^6, 2^5, 2^4, 2^3, 2^2, 2^1, 1$
The place values that are less than or equal to $70$ are $2^6, 2^5, 2^4, 2^3, 2^2, 2^1$ and $1$.
Divide $70$ by $2^6$ or $64$:
$70 \div 64 = 1$ remainder $6$
Divide $6$ by $2^5$ or $32$
$6 \div 32 = 0$ remainder $6$
Divide $6$ by $2^4$ or $16$:
$6 \div 16 = 0$ remainder $6$
Divide $6$ by $2^3$ or $8$:
$6 \div 8 = 0$ remainder $6$
Divide $6$ by $2^2$:
$6 \div 4=1$ remainder $2$
Divide $2$ by $2^1$ or $2$:
$2 \div 2 = 1$ remainder $0$
Divide $0$ by $1$:
$0 \div 1 = 0$
Thus,
$70 = 1000110$
