1 10 points consider the following comparator circuits b3 a b 4 4 a2 b2 equal a1 b1 equal d ao b

Name: 1 10 points consider the following comparator circuits b3 a b 4 4 a2 b2 equal a1 b1 equal d ao bo a b n n n n 1 equality equal by testing equality bit by bit with xnor gates the output of th 44755
Uploaded: 2024-04-29T07:05:54-08:00
Duration: 2 min 14 s
Channel: Adi S
Description: 1 10 points consider the following comparator circuits b3 a b 4 4 a2 b2 equal a1 b1 equal d ao bo a b n n n n 1 equality equal by testing equality bit by bit with xnor gates the output of th 44755

Step 1: To obtain NotEqual from Equal, we need to invert the output of the Equal circuit. This c

Question

1 (10 points.) Consider the following comparator circuits: Аз B3 A B 4 4 A2 B2 어 = Equal A1 B₁ Equal D Ao Bo A B N N N [N-1] Equality (Equal). By testing equality bit-by- bit with XNOR gates the output of the circuit is 1 whenever the first input A equals the second input B. A<B Magnitude comparator (LessThan). Given a first input A and a second input B the circuit calculates B-A and outputs the sign of the most significant bit. Thus the output of the circuit is 1 whenever the first input A is less than the second input B. By a modification of a circuit we mean to exchange inputs, add negations or substitute Boolean gates by other Boolean gates. a. Explain how to modify Equal to obtain NotEqual. b. Explain how to modify LessThan to obtain GreaterThan, LessOrEqualThan and GreaterOrEqual Than respectively.

          1 (10 points.) Consider the following comparator circuits:
Аз
B3
A B
4 4
A2
B2
어
=
Equal
A1
B₁
Equal
D
Ao
Bo
A
B
N N
N
[N-1]
Equality (Equal). By testing equality bit-by-
bit with XNOR gates the output of the circuit is
1 whenever the first input A equals the second
input B.
A<B
Magnitude comparator (LessThan). Given a
first input A and a second input B the circuit
calculates B-A and outputs the sign of the most
significant bit. Thus the output of the circuit is 1
whenever the first input A is less than the second
input B.
By a modification of a circuit we mean to exchange inputs, add negations or substitute Boolean gates by
other Boolean gates.
a. Explain how to modify Equal to obtain NotEqual.
b. Explain how to modify LessThan to obtain GreaterThan, LessOrEqualThan and GreaterOrEqual Than
respectively.

1 10 points consider the following comparator circuits b3 a b 4 4 a2 b2 equal a1 b1 equal d ao bo a b n n n n 1 equality equal by testing equality bit by bit with xnor gates the output of th 44755

Added by Jacqueline M.

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