If A and B are the inputs of a half adder, then the sum is given by __________
Answer & step-by-step solution
A half adder adds two single-bit inputs. Its Sum output is 1 only when A and B are different, which is exactly the XOR truth table; the Carry output is A·B.
Concept & Reasoning
For inputs 00, 01, 10, 11, the binary sums are 0, 1, 1, 10. Hence the Sum bit sequence is 0,1,1,0 = A ⊕ B, while the Carry is 0,0,0,1 = AB. This is one of the basic identities used to build a full adder.
How to Solve It in the Exam
Half adder: XOR for Sum, AND for Carry.
Important Exam Point
Memorize the pair together; exam distractors often swap Sum and Carry.
Quick Trick
Half adder: XOR for Sum, AND for Carry.
Common Mistake
Selecting OR for Sum; OR fails for A=B=1 because the correct sum bit is 0 with carry 1.
यदि A और B हाफ ऐडर के इनपुट हैं, तो योग (sum) __________ द्वारा दिया जाता है।
उत्तर और चरणबद्ध हल
हाफ ऐडर दो एकल-बिट इनपुट जोड़ता है। इसका Sum आउटपुट केवल तब 1 होता है जब A और B भिन्न हों, जो XOR की ट्रुथ टेबल है; Carry आउटपुट A·B है।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
For inputs 00, 01, 10, 11, the binary sums are 0, 1, 1, 10. Hence the Sum bit sequence is 0,1,1,0 = A ⊕ B, while the Carry is 0,0,0,1 = AB. This is one of the basic identities used to build a full adder.
How to Solve It in the Exam
Half adder: XOR for Sum, AND for Carry.
Important Exam Point
Memorize the pair together; exam distractors often swap Sum and Carry.
Quick Trick
Half adder: XOR for Sum, AND for Carry.
Common Mistake
Selecting OR for Sum; OR fails for A=B=1 because the correct sum bit is 0 with carry 1.
જો A અને B હાફ એડરના ઇનપુટ હોય, તો સરવાળો (sum) __________ વડે મળે છે.
જવાબ અને પગલાવાર ઉકેલ
હાફ એડર બે એક-બિટ ઇનપુટ ઉમેરે છે. તેનું Sum આઉટપુટ ફક્ત ત્યારે 1 થાય છે જ્યારે A અને B જુદાં હોય, જે XOR ની ટ્રુથ ટેબલ છે; Carry આઉટપુટ A·B છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
For inputs 00, 01, 10, 11, the binary sums are 0, 1, 1, 10. Hence the Sum bit sequence is 0,1,1,0 = A ⊕ B, while the Carry is 0,0,0,1 = AB. This is one of the basic identities used to build a full adder.
How to Solve It in the Exam
Half adder: XOR for Sum, AND for Carry.
Important Exam Point
Memorize the pair together; exam distractors often swap Sum and Carry.
Quick Trick
Half adder: XOR for Sum, AND for Carry.
Common Mistake
Selecting OR for Sum; OR fails for A=B=1 because the correct sum bit is 0 with carry 1.
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