(Solved): Use the following 4-bit counter to make binary counters that count modulo 8(07), modulo 11 (0 ...

Use the following 4-bit counter to make binary counters that count modulo $8(0?7)$, modulo 11 $(0?10)$ and modulo $176(0?175)$. The external inputs shall be a clock signal (CLK), an enable signal $(E)$ and a clear signal $(CLR)$. The counter is triggered by the rising edge of the clock signal. Draw the complete logic diagrams. Function Table: Synchronous 4-Bit Counter with Synchronous clear. Note 1: The $\mathrm{CO}$ output is High when $\mathrm{P}$ is High and the counter is at the terminal count $(\mathrm{HHHH})$.