MadeEasy Test Series: Digital Logic - Number Representation

Question

Let X = X2X1X0 and Y= Y1Y0 be unsigned positive 3 digit and 2 digit numbers respectively. The output function 'f' = 1 only when X>Y otherwise '0'. Then the value of output f is equal to

A.

B.

C.

D.

Comments

Answer will be c. Make a kmap and put 1 where x is greater than y. after solving you will get c as max term.

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There are 5 variables. how will I make a k map?

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A??

x2x1x0==> 010=>2

y1y0===>01==>1

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Answer is given C.

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Sorry I haven't tested all the options yet :P

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Yes

taking 010 for X and  01 for Y will leave with one option i.e. C

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Please explain the process properly

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as you know that when x2 will be 1 then in all 16 cases you will get x>y so make only for x1x0y1y0(for 4 varibale) and add x2 in each max term you will get your answer.

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Take
X2->0
X1->1
X0->0
Y1->0
y0->1

Option A. fails at second condition
Option B fails at third condition
Option D fails at second condition
Option C gives 1 to all the conditions