$($BitOutputStream$)$ Implement a class named BitOutputStream, as shown

in Figure $17\mathrm{.}22,$ for writing bits to an output stream. The writeBit$($char bit$)$

method stores the bit in a byte variable. When you create a BitOutputStream,

the byte is empty. After invoking writeBit$(\text{'}1\text{'}),$ the byte becomes $00000001.$

After invoking writeBit$("0101"),$ the byte becomes $00010101.$ The first

three bits are not filled yet. When a byte is full, it is sent to the output stream. Now

the byte is reset to empty. You must close the stream by invoking the close$()$

method. If the byte is neither empty nor full, the close$()$ method first fills the

zeros to make a full $8$ bits in the byte, and then outputs the byte and closes the

stream. For a hint, see Programming Exercise $5\mathrm{.}44.$ Write a test program that

sends the bits $010000100100001001101$ to the file named Exercise$17\_17.$dat.