Que. MOD 12 काउंटर के निर्माण के लिए आवश्यक फ्लिप फ्लॉप की संख्या ______ है? The number of Flip Flops required for constructing a MOD 12 counter is ______?
a. 5 b. 4 c. 3 d. 6
Answer- b. 4
Details Solution-
For an 'n' flip flop counter,
Ø The total number of states 2 (0 to 2^n-1)
Ø The largest number that can be stored in the counter = 2^n-1
To construct any mod counter, the minimum number flip flops required such that: Modulus ≤ 2
Where n is the number of counters.
For example,
A MOD-5 counter requires:
2 ^n≥ 5 hence 3 Flip Flops (means 2x2x2 is 8 ≥ of 5)
Number no. of flip flops are required to construct a mod-12 counter is obtained as:
2^n ≥ 12 i.e. n = 4 (means 2x2x2x2 is 16 ≥ of 12)
'एन' फ्लिप फ्लॉप काउंटर के लिए,
Ø चरण 2 की कुल संख्या (0 से 2^n-1)
Ø काउंटर में संग्रहित की जा सकने वाली सबसे बड़ी संख्या = 2^n-1
किसी भी मॉड काउंटर के निर्माण के लिए, न्यूनतम संख्या में फ्लिप फ्लॉप की आवश्यकता होती है: मापांक ≤ 2
जहाँ n काउंटरों की संख्या है।
उदाहरण के लिए,
MOD-5 काउंटर के लिए आवश्यक है:
2 ^n≥ 5 इसलिए 3 फ्लिप फ्लॉप (मतलब 2x2x2 =8 ≥5 है)
नंबर नं. मॉड-12 काउंटर के निर्माण के लिए कितने फ्लिप फ्लॉप की आवश्यकता होती है, इस प्रकार प्राप्त किया जाता है:
2^n ≥ 12 यानी n = 4 (मतलब 2x2x2x2 =16 ≥12 है)
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