Consider the following LED light display for digits, a1, ,a7 are the lighting ed

Question

Consider the following LED light display for digits, a1, ,a7 are the lighting edge for each edge. The digits 0~9 are represented as the following. Assume that we use 4 input bits as binary representation of 0~9. For example, 0000 for 0, 0001 for 1, and 1001 for 9. We denote i4,i3, i2, i1 forthebit3, bit 2, bit 1, and bit 0, respectively. Generate truth tables for a1...a7 lighting edges given input bits of i4, i3, i2, i1. Based on your truth table, generate the sum of product expression for al...a7. Implement a PLA for the LED light display.

Explanation / Answer

the maximum tension will be seen at the very top:

T=(m1+m2)*(g+a)=3*m2*g

or, a=(2*m2-m1)*g/(m1+m2)=2.96 m/sec^2

time taken =sqrt(2*h/a)=8.65 sec

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