Q4. Apply the knowledge of concept of min terms and K-Map and encode following Hexa decimal numbers 0,2,3,5,6,7,8,10,11,14,15.
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Step 1: The given decimal numbers are 0, 2, 3, 5, 6, 7, 8, 10, 11, 14, 15. Show more…
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Using the symbols $0,1,$ and 2 use ternary $(m=3)$ Huffman coding to encode these letters with the given frequencies: $\mathrm{A} : 0.25, \mathrm{E} : 0.30, \mathrm{N} : 0.10, \mathrm{R} : 0.05, \mathrm{T} : 0.12$ $\mathrm{Z} : 0.18$
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Different representation base 3 is called the balanced ternary expansion. Here n = ak3k + ... + a333 + a232 + a131 + a030 for some nonnegative integer k where each bit ai ∈ {-1,0,1}. Our shorthand will be n = (akak-1...a3a2a1a0)bal3 but using + in place of 1 and - in place of -1. 14. (b) Convert (+--0)bal3 to decimal. 15. (b) Find the balanced ternary expansion 20.
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