Question

Convert into 12 hour clock
a) $00:00$ hours
b) $16:45$ hours

Answer 1

Hint: To solve this question first we will discuss the 12 hour display format and 24 hour format. A 12 hour clock starts at $12:00$ AM and ends at $11:59$ PM. By using this concept we will solve the given question.

Complete step by step solution:
We have been given a clock time in 24 hour format as $00:00$ hours and $16:45$ hours.
Now, we know that a 24 hour clock starts at $00:00$ and ends at $23:59$ whereas a 12 hour clock starts at $12:00$ AM and ends at $11:59$ PM.
We can convert the 24 hour clock into 12 hour clock by adding or subtracting 12 hours from the given 24 hour format and adding AM or PM after.
We need to add 12 hours in the $00:00$ hours and add AM to convert it into a 12 hour clock. Then we will get
$\begin{align}
  & \Rightarrow 00:00+12:00 \\
 & \Rightarrow 12:00\text{ AM} \\
\end{align}$
Now, we need to subtract 12 hours from the $16:45$ hours and add PM to convert it into a 12 hour clock. Then we will get
\[\begin{align}
  & \Rightarrow 16:45-12:00 \\
 & \Rightarrow 04:45\text{ PM} \\
\end{align}\]

Note: There is no need to add AM or PM in 24 hour format. But it is necessary to add AM or PM in 12 hour format. Be careful while adding AM or PM as it changes the time. The AM stands for ante meridiem and PM stands for post meridiem. A 12 hour format is the way to dividing the day into two sections.