Question

Convert the hexadecimal numeral to Hindu-Arabic 4A9EDsixteen 8

Answer 1

9514 1404 393

Answer:

  305,645 base 10

  1124755 base 8

Step-by-step explanation:

In expanded form, the number is ...

  4×16^4 +10×16^3 +9×16^2 +14×16^1 +13

  = (((4×16 +10)×16 +9)×16 +14)×16 +13 = ((74×16 +9)×16 +14)×16 +13

  = (1193×16 +14)×16 +13 = 19102×16 +13 = 305,645 base 10

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If you want to convert this to base 8, that is easily done by writing the binary equivalents of the hex digits, then regrouping them by 3s.

  4A9ED₁₆ = 0100 1010 1001 1110 1101₂ = 01 001 010 100 111 101 101₂

  = 1124755₈