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Convert the next numbers into decimal: (a) 11010112 = ? 10 (b) 1740038 = ? 10 (c) 101101112 = ? 10 (d) sixty seven. 248 = ? 10 (e) 10100. 11012 = ? 10 (f) F3A516 = ? 10 (g) 120103 = ? 10 (h) AB3D sixteen = ? 10 (i) 71568 = ? 10 (j) 15C. 3816 = ? 10 practice the subsequent quantity procedure conversions: (a) 12510 = ? 2 (b) 348910 = ? eight (c) 20910 = ? 2 (d) 971410 = ? eight (e) 13210 = ? 2 (f) 2385110 = ? sixteen (g) 72710 = ? five (h) 5719010 = ? sixteen (i) 143510 = ? eight (j) 6511310 = ? sixteen upload the next pairs of binary numbers, exhibiting all contains: (a) 2. eight 2. nine 110101 + 11001 (b) 101110 + 100101 (c) 11011101 + 1100011 (d) 1110010 + 1101101 Repeat Drill 2. 7 utilizing subtraction rather than addition, and displaying borrows rather than includes. upload the subsequent pairs of octal numbers: (a) + 1372 4631 (b) 47135 + 5125 (c) 175214 + 152405 (d) 110321 + 56573 (d) 1B90F + C44E 2. 10 upload the subsequent pairs of hexadecimal numbers: (a) + 1372 4631 (b) + 4F1A5 B8D5 (c) F35B + 27E6 2. eleven Write the 8-bit signed-magnitude, two’s-complement, and ones’-complement representations for every of those decimal numbers: +18, +115, +79, −49, −3, −100. 2. 12 point out even if overflow happens whilst including the subsequent 8-bit two’scomplement numbers: (a) 11010100 + 10101011 (b) 10111001 + 11010110 (c) 01011101 + 00100001 (d) 00100110 + 01011010 2. thirteen what percentage error could be detected via a code with minimal distance d? 2. 14 what's the minimal variety of parity bits required to acquire a distance-4, twodimensional code with n info bits? Copyright © 1999 via John F. Wakerly Copying Prohibited seventy one 72 bankruptcy 2 quantity structures and Codes don't replica don't replica don't reproduction don't reproduction don't replica don't replica don't replica don't replica don't reproduction workouts 2. 15 Here’s an issue to whet your urge for food. what's the hexadecimal similar of 6145310? 2. sixteen all the following mathematics operations is true in a minimum of one quantity approach. verify attainable radices of the numbers in every one operation. (a) 1234 + 5432 = 6666 (b) forty-one / three = thirteen (c) 33/3 = eleven (d) 23+44+14+32 = 223 (e) 302/20 = 12. 1 (f) 14 = five 2. 17 the 1st day trip to Mars stumbled on purely the ruins of a civilization. From the artifacts and photographs, the explorers deduced that the creatures who produced this civilization have been four-legged beings with a tentacle that branched out on the finish with a couple of greedy “fingers. ” After a lot learn, the explorers have been in a position to translate Martian arithmetic. they discovered the next equation: 5x2 − 50x + a hundred twenty five = zero with the indicated strategies x = five and x = eight. the worth x = five appeared valid sufficient, yet x = eight required a few clarification. Then the explorers mirrored at the manner within which Earth’s quantity procedure constructed, and located facts that the Martian process had an analogous background. what number palms might you assert the Martians had? (From The Bent of Tau Beta Pi, February, 1956. ) 2. 18 think a 4n-bit quantity B is represented by way of an n-digit hexadecimal quantity H. end up that the two’s supplement of B is represented by means of the 16’s supplement of H.