Q: Asking for Assistance in understanding and solving this example on Digital De
ID: 3743316 • Letter: Q
Question
Q: Asking for Assistance in understanding and solving this example on Digital Design and Computer Architecture with the steps of the solution to better understand, thanks.
a) Fill the blanks below with axiom & theorem names A1 to A5, A1' to A5' (for duals), T1 to T12, and T1' to T12' (for duals).
The equation X + (XY) + 1 is equal to X + 1 because of theorem ______________, and X + 1 itself is equal to 1 because of theorem ________ .
The equation X(X+Z) + X is equal to X + X because of theorem __________, and X + X itself is equal to X because of theorem ____________.
b) Which of the four instructions given as choices, correctly matches the description: "this instruction will double the numeric value stored in $t1"?
addi $t1, 2, 2
add $t1, $t1, 2Explanation / Answer
I dont know what A1..A5 , Its not given in the question
But we know that X + X = X by _____Idempotent Law
and X + 1 = 1 by Annulment Law
The equation X + (XY) + 1 is equal to X + 1 because of theorem ______________, and X + 1 itself is equal to 1 because of theorem Annulment .
The equation X(X+Z) + X is equal to X + X because of theorem __________, and X + X itself is equal to X because of theorem _____Idempotent _______.
b) Answer:
add $t1, $t1, $t1
It will add t1 + t1 = 2t1 and place it in t1
So t1 will become twice of it
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