Shift register

Question

In shift register, we can make it "multiply by 2" and "divide by 2" circuit by right triggering and left triggering respectively? (True/False)

Comments

Yes Ring counter is best example.

Answer 1

yes

so 2*2=4

2 in binary 0010

4 in binary 0100

so whenever we multiply a number by  2 we just have to perform left shift operation

7*2 = 0111 + left shift = 1110= 14

Similar logic applies for division by 2 we just have to perform right shift

eg: 8/2=4 now 8=1000 in binary 4= 0100 in binary

 

bonus: 7/2

7=0111 now right shift 0011.1=3.5

so if your LSB has 1 and you have to perform right shift just move that 1 after decimal position

similarly 5/2= 0101 +right shift =0010.1=2.5