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## Homework Statement

Given that the variables A[2:0] form a three bit grey code to represent numerical values:

i) Write down all binary combinations for A[2:0], in ascending order of numerical value

ii) A three bit grey code to decimal decoder is to be designed, where the outputs X[0:7] are active low. Write down the boolean functions of each output terminal.

## Homework Equations

## The Attempt at a Solution

I think the first part is easy enough, it's just grey code (only change one bit at a time)

A2:A0

0 000

1 001

2 011

3 010

4 110

5 111

6 101

7 100

The second part is confusing me though, and it's to do with the "active low part". Initially I got what's below but how is it any different to if the outputs weren't active low ?!

X0 = A2'A1'A0'

X1 = A2'A1'A0

X2 = A2'A1A0

X3 = A2'A1A0'

X4 = A2A1A0'

X5 = A2A1A0

X6 = A2A1'A0

X7 = A2A1'A0'