user
Quelle est la conversion de 769 de la base décimale vers la base binaire ?
alphonsio

La conversion de 769 en binaire est : 0000 0011 0000 0001

(769)10=(0000 0011 0000 0001)2(769)_{10}=(0000~0011~0000~0001)_2

Pour convertir le nombre décimal 769 en binaire, nous pouvons diviser plusieurs fois par 2 et garder la trace des restes. Voici comment procéder :

  1. 769 ÷ 2 = 384, il reste 1
  2. 384 ÷ 2 = 192, il reste 0
  3. 192 ÷ 2 = 96, il reste 0
  4. 96 ÷ 2 = 48, il reste 0
  5. 48 ÷ 2 = 24, il reste 0
  6. 24 ÷ 2 = 12, il reste 0
  7. 12 ÷ 2 = 6, il reste 0
  8. 6 ÷ 2 = 3, il reste 0
  9. 3 ÷ 2 = 1, il reste 1
  10. 1 ÷ 2 = 0, il reste 1

En lisant les restes de bas en haut, nous obtenons :

(769)10=(0000 0011 0000 0001)2(769)_{10} = (0000~0011~0000~0001)_2

Donc, la valeur binaire de 769 est : 0000 0011 0000 0001.

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