Representing base 4 numbers as "random walks"

How would I go about creating a code that would convert a base 4 number into a "random walk"? What I mean by this is in base 4, let 0 be a step downwards, 1 be a step to the left, 2 a step up, and 3 a step to the right. Any tips for creating a code that when I put in a number will produce this walk? Thank you.

Answer 1

[Image Analyst]

See attached random walk demos. I think one of them goes up, down, left, and right rather than in random directions. Adapt as needed.

Answer 2

[Roger Stafford]

The Matlab function 'dec2base' can be used to covert integers to character strings involving the characters '0', '1', '2', and '3'. From there to your 'walk' should be easy.