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Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total delay of the multiplier is

  • a) 
  • b) 
  • c) 
  • d) 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider an array multiplier for multiplying two n bit numbers. If eac...
Number of gates used in ‘n’ bit array multiplier (n * n) = (2n – 1)
Each gate in the circuit has a unit delay.
Total delay = 1 * (2n – 1 ) = O(2n – 1) = O(n)
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Most Upvoted Answer
Consider an array multiplier for multiplying two n bit numbers. If eac...
Take A = A1 A2 A3 A4
B =   B1 B2 B3 B4 
Now to multiply these two numbers.  
1 and gate require b1 multiply with a1 a2 a3 a4. 
1 and gate require b2 multiply with a1 a2 a3 a4. 
1 and gate require b3 multiply with a1 a2 a3 a4.
1 and gate require b4 multiply with a1 a2 a3 a4.  
 Now 3 or gate require.
Total 7 gates are required for 4 bit take n bit u find 2n-1.
So time complexity will be = ϴ(n)
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Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total delay of the multiplier isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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