Taller de conversiones
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This document describes a workshop on converting decimal numbers to binary and binary to decimal. It provides 10 examples of converting binary numbers to decimal using the place value method and their calculations. It also provides 10 examples of converting decimal numbers to binary using the division method and their step-by-step calculations. The workshop was presented to technical systems graduate students in September 2014.
Taller de conversiones
- 1. TALLER DE CONVERSIONES DECIMAL A BINARIO Y BINARIO A DECIMAL M. T?CNICA EN SISTEMAS GRADO 10 SEPTIEMBRE DE 2014 INTEGRANTES: Nombres y apellidos Angie Vanesa Boh¨®rquez ¨¢lzate Nombres y apellidos Tatiana Acevedo Montoya 1. CONVIERTA LOS SIGUIENTES N?MEROS BINARIOS A DECIMAL. DEBE REALIZAR TODO EL PROCEDIMIENTO. No. N?MERO BINARIO RESPUESTA EN DECIMAL (PROCEMIENTO) 1 10001112 = 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 = 1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10) 2 10000002 = 0*20 + 0*21 + 0*22 + 0*23 + 0*24 +0*25 +1*26 = 0 + 0 + 0 + 0 + 0 + 0 + 64 = 64(10) 3 11111112 = 1*20 + 1*21 + 1*22 + 1*23 + 1*24 +1*25 +1*26 = 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127(10) 4 101010102 = 0*20 + 1*21 + 0*22 + 1*23 + 0*24 +1*25 +0*26 +1*27= 0 + 2 + 0 + 8 + 0 + 32 + 0 + 128 = 170(10)
- 2. 5 110101012 = 1*20 + 0*21 + 1*22 + 0*23 + 1*24 +0*25 +1*26 +1*27= 1 + 0 + 4 + 0 + 16 + 0 + 64 + 128 = 213(10) 6 10001112 = 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 = 1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10) 7 111111102 = 0*20 + 1*21 + 1*22 + 1*23 + 1*24 +1*25 +1*26 +1*27= 0 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 254(10) 8 1110000112 = 1*20 + 1*21 + 0*22 + 0*23 + 0*24 +0*25 +1*26 +1*27+ 1*28= 1 + 2 + 0 + 0 + 0 + 0 + 64 + 128 + 256 = 451(10) 9 101110002 = 0*20 + 0*21 + 0*22 + 1*23 + 1*24 +1*25 +0*26 +1*27= 0 + 0 + 0 + 8 + 16 + 32 + 0 + 128 =184(10) 10 1100011102 = 0*20 + 1*21 + 1*22 + 1*23 + 0*24 +0*25 +0*26 +1*27 + 1*28= 0 + 2 + 4 + 8 + 0 + 0 + 0 + 128 + 256 = 398(10)
- 3. 2. CONVIERTA LOS SIGUIENTES N?MEROS DECIMALES A BINARIO. DEBE REALIZAR TODO EL PROCEDIMIENTO. No. N?MERO DECIMAL RESPUESTA EN BINARIO (PROCEMIENTO) 1 15.60010 11110011110000(2) 2 10.80010 10101000110000(2) 3 11.79110 10111000001111(2) 4 5.35910 1010011101111(2) 5 4.82510 1001011011001(2) 6 3.00010 101110111000(2) 7 2.00010 11111010000(2) 8 1.56010 11000011000(2) 9 80010 1100100000(2) 10 32910 101001001(2) PROCEDIMIENTO 1. 15.600 2 = 0 7.800 2 = 0 3.900 2 = 0 1.950 2 = 0 975 2 = 1 487 2 = 1 243 2 = 1 121 2 = 1 60 2 = 0 30 2 = 0 15 2 = 1 7 2 = 1 3 2 = 1 1 2 = 1 0 R/= 11110011110000(2) 2. 10.800 2 = 0 5.400 2 = 0 2.700 2 = 0 1.350 2 = 0 675 2 = 1 337 2 = 1 168 2 = 0 84 2 = 0 42 2 = 0 21 2 = 1 10 2 = 0 5 2 = 1 2 2 = 0 1 2 = 1 0 R/= 10101000110000(2)
- 4. 3. 11.791 2 = 1 5.895 2 = 1 2.947 2 = 1 1.473 2 = 1 736 2 = 0 368 2 = 0 184 2 = 0 92 2 = 0 46 2 = 0 23 2 = 1 11 2 = 1 5 2 = 1 2 2 = 0 1 2 = 1 0 R/= 10111000001111(2) 4. 5.359 2 = 1 2.679 2 = 1 1.339 2 = 1 669 2 = 1 334 2 = 0 167 2 = 1 83 2 = 1 41 2 = 1 20 2 = 0 10 2 = 0 5 2 = 1 2 2 = 0 1 2 = 1 0 R/= 1010011101111(2) 5. 4.825 2 = 1 2.412 2 = 0 1.206 2 = 0 603 2 = 1 301 2 = 1 150 2 = 0 75 2 = 1 37 2 = 1 18 2 = 0 9 2 = 1 4 2 = 0 2 2 = 0 1 2 = 1 0 R/= 1001011011001(2) 6. 3.000 2 = 0 1.500 2 = 0 750 2 = 0 375 2 = 1 187 2 = 1 93 2 = 1 46 2 = 0 23 2 = 1 11 2 = 1 5 2 = 1 2 2 = 0 1 2 = 1 0 R/= 101110111000(2)
- 5. 7. 2.000 2 = 0 1.000 2 = 0 500 2 = 0 250 2 = 0 125 2 = 1 62 2 = 0 31 2 = 1 15 2 = 1 7 2 = 1 3 2 = 1 1 2 = 1 0 R/= 11111010000(2) 8. 1.560 2 =0 780 2 =0 390 2 =0 195 2 =1 97 2 =1 48 2 =0 24 2 =0 12 2 =0 6 2 = 0 3 2 = 1 1 2 = 1 0 R/= 11000011000(2) 9. 800 2 = 0 400 2 = 0 200 2 = 0 100 2 = 0 50 2 = 0 25 2 = 1 12 2 = 0 6 2 = 0 3 2 = 1 1 2 = 1 0 R/= 1100100000(2) 10. 329 2 = 1 164 2 = 0 82 2 = 0 41 2 = 1 20 2 = 0 10 2 = 0 5 2 = 1 2 2 = 0 1 2 = 1 0 R/= 101001001(2)