This proof shows an ADD instruction that adds the values in memory cell numbers 1 and 2 and stores the result in memory cell #3. It uses the ADD Instruction Property and performs some basic algebra to compute the value of memory cell #3. For reference, here is the simulator:

Quiz (1 point)

• 0 + a = a
• 2 + 6 = 8

• if the following are true:

  • instruction #i is add dst=d src1=s1 src2=s2
  • the PC at time t = i

  then value of cell d at time (t + 1) = (value of cell s1 at time t) + (value of cell s2 at time t)

• if 0 + 1 = 1, then value of cell 3 at time (0 + 1) = value of cell 3 at time 1

• if the following are true:

  • a = b + c
  • b = x
  • c = y

  then a = x + y

• if the following are true:

  • a = b
  • b = c

  then a = c

• if the following are true:

  • a = b
  • a = c

  then b = c

Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.