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  • 07-09-2020
  • Engineering
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How many addresses does an 8k have digital logic?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 07-09-2020

Answer:

The number of address is 13

Explanation:

Given

[tex]Logic = 8k[/tex]

Required

Determine the number of address

This can be done using the following formula

[tex]2^n = Size[/tex]

Substitute 8k for Size

[tex]2^n = 8k[/tex]

[tex]1k = 1024[/tex]

So:

[tex]2^n = 8 * 1024[/tex]

Represent the right hand side as exponents

[tex]2^n = 2^3 * 2^{10}[/tex]

Apply law of indices

[tex]2^n = 2^{3+10}[/tex]

[tex]2^n = 2^{13}[/tex]

Cancel 2 on both sides;

[tex]n = 13[/tex]

Hence, the number of address is 13

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