Question

Design a sequential circuit that takes in a sequence x1, x2, . . . xn of unsigned 8 bit integers as inputs, and outputs an unsigned 8 bit integer that counts how many groups of three adjacent inputs xi , xi+1, xi+2 are consecutive, increasing values (such as 1, 2, 3 or 137, 138, 139). Note that a sequence like 1, 2, 3, 4 has two such groups (1, 2, 3 and 2, 3, 4). The three values 254, 255, 0 are not considered consecutive. Hints: (a) Create a subcircuit that takes in two 8 bit unsigned integers A and B as inputs, and outputs True if B = A + 1. (b) The main circuit will use three 8 bit registers and a small number of additional components (including some instances of the subcircuit from the first hint).

Answer 1