Sistemas numéricos


  • Decimal ______0123456789(10)
  • Binario_______01(2)
  • Octal ________01234567 (8)
  • Hexagedecimal _____0123456789ABCDEF (16)

EJERCICIO # 1

4327 (10)--?(2)

4327/2=2163 residuo 1

2163/2=1081 residuo 1

1081/2=540 residuo 0

540/2= 270 reiduo 0

27072= 135 residuo 1

135/2=67 residuo 1

67/2= 33 residuo 1

33/2=16 residuo 1

16/2= 8 residuo 0

8/2=4 residuo 0

4/2= 2 reiduo 0

2/2= 1 residuo

01000011100111

VERIFICACION

=1 0 0 0 0 1 1 1 0 0 1 1 1

12 11 10 9 8 7 6 5 4 3 2 1 0

2 2 2 2 2 2 2 2 2 2 2 2 2

2^(0)*1+2^(1)*1+2^(2)*1+2^(3)*0+2^(4)*0+2^(5)*1+2^(6)*1+2^(7)*1+2^(8)*0+2^(9)*0+2^(10)*0+2^(11)*0+2^(12)*1

=1+2+4+32+64+126

=4327

EJERCICIO # 2

643 - ? (8)

643/8= 80 residuo 3

80/8=10 residuo 0

10/8=1 residuo 2

= 1203

VERIFICACION

1 2 0 3

3 2 1 0

8 8 8 8

=8^(0)*3+8^(1)*0+8^(2)*2+8^(3)*1

=3+128+1512

=643

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