CSE $224$

Introduction to Digital Systems

Lab Homework

Due: Monday, $29/04/2024$@$17$:$00$

Design a circuit to calculate the power a given $4-$bit number, A$,$ by a series of multiplications. Assume

that the power value is a $3-$bit number, B$.$ For example, to calculate $7^{{?}^{?}}5,$ the value of $7**7**7**7**7$ must

be calculated by the help of a counter circuit. You can use a temporary Prev register to calculate the

intermediate values until the counter reaches to $5.$ Write a testbench to test your design with various

input values of A and $B.$

Hint: You can use the Fibonacci number calculating circuit given in YULearn course page as a template

for your design.

An example run for calculating $7^5$ is given below.

module pow $($clk$,$ rst$,$ A$,$ B$,$ out$)$;

input clk$,$ rst;

input $[3$:$0]$ A;

input $[2$:$0]$ B;

output reg $[27$:$0]$ out;

reg $[27$:$0]$ Prev, PrevN;

reg $2$:$0$ counter, counterN;

$//$ Write your code here

endmodule

Expected Files:

Design file $($pow$.$v$)$

Testbench file $($tb$\_$pow.v$)$

Waveform screen capture image file to verify the design is working.