How many inputs are required for a 1-of-10 BCD decoder?
Answer & step-by-step solution
A BCD digit represents decimal 0–9 using four binary bits (8421 code). Therefore a 1-of-10 BCD decoder needs 4 input lines and produces ten decoded output lines.
Concept & Reasoning
A decoder with n binary inputs can represent up to 2^n input combinations. Four bits provide 16 combinations, of which the ten combinations 0000 through 1001 are valid BCD digits. The remaining six are invalid BCD codes. Thus the decoder still requires four input bits.
How to Solve It in the Exam
BCD = 8421 = four input bits.
Important Exam Point
Do not confuse number of outputs (10) with number of inputs (4).
Quick Trick
BCD = 8421 = four input bits.
Common Mistake
Answering 10 because it is a 1-of-10 decoder.
1-of-10 BCD डिकोडर के लिए कितने इनपुट आवश्यक हैं?
उत्तर और चरणबद्ध हल
BCD अंक दशमलव 0–9 को चार बाइनरी बिट (8421 कोड) से दर्शाता है। अतः 1-of-10 BCD डिकोडर को 4 इनपुट लाइनें चाहिए और यह दस आउटपुट लाइनें देता है।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
A decoder with n binary inputs can represent up to 2^n input combinations. Four bits provide 16 combinations, of which the ten combinations 0000 through 1001 are valid BCD digits. The remaining six are invalid BCD codes. Thus the decoder still requires four input bits.
How to Solve It in the Exam
BCD = 8421 = four input bits.
Important Exam Point
Do not confuse number of outputs (10) with number of inputs (4).
Quick Trick
BCD = 8421 = four input bits.
Common Mistake
Answering 10 because it is a 1-of-10 decoder.
1-of-10 BCD ડિકોડર માટે કેટલા ઇનપુટ જરૂરી છે?
જવાબ અને પગલાવાર ઉકેલ
BCD અંક દશાંશ 0–9 ને ચાર બાઇનરી બિટ (8421 કોડ) વડે દર્શાવે છે. તેથી 1-of-10 BCD ડિકોડરને 4 ઇનપુટ લાઇન જોઈએ અને તે દસ આઉટપુટ લાઇન આપે છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
A decoder with n binary inputs can represent up to 2^n input combinations. Four bits provide 16 combinations, of which the ten combinations 0000 through 1001 are valid BCD digits. The remaining six are invalid BCD codes. Thus the decoder still requires four input bits.
How to Solve It in the Exam
BCD = 8421 = four input bits.
Important Exam Point
Do not confuse number of outputs (10) with number of inputs (4).
Quick Trick
BCD = 8421 = four input bits.
Common Mistake
Answering 10 because it is a 1-of-10 decoder.
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