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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
4.14Â Â Design a combinational logic circuit which has one output Zand a 4-bit input ABCD representing a binary number. Z should be 1iff the input is at least 5,but is no greater than 11.Use one OR gate (three inputs) and threeAND gates (with no more than three inputs each).
4.15Â A logic circuit realizing the functionf has four inputs A,B, C, and D.The three inputs A,B, and Care the binary representation of the digits o through 7with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D is such that A,B,C, and D always contain an odd number of 1's. (For example, the digit 1is represented by ABC = 001 and D = o, and the digit 3 is represented by ABCD = 0111.) The functionf has value 1if the input digit is a prime number. (Anumber is prime if it is divisible only by itself and 1; 1is considered to be prime and o is not.)
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(a)Â Â List the minterms and don't-care minterms of f in algebraic form.
(b)Â Â List the maxterms and don't-care maxterms of f in algebraic form.
Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------acq-----------uis-----------iti-----------on -----------of -----------my -----------sol-----------uti-----------on.-----------Ple-----------ase----------- pi-----------ng -----------me -----------on -----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill----------- be----------- ca-----------tch-----------