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Quiz: Sistemas decimal, binario y quinario

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Quiz: Sistemas decimal, binario y quinario

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About this activity

Bases y conversiones

Created by

Marcos Zúñiga
Marcos Zúñiga
Bolivia

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Quiz: Sistemas decimal, binario y quinario
 

Quiz: Sistemas decimal, binario y quinarioOnline version

Bases y conversiones

by Marcos Zúñiga
1

¿Qué base usa el sistema quinario?

2

¿Cuántos dígitos tiene un dígito binario?

3

Convierte 1011₂ a decimal.

4

¿Qué valor decimal tiene el dígito 4 en la posición 5^2 en quinario?

5

Convertir 25₅ a decimal.

6

¿Qué base usa el sistema decimal?

7

Convierte 7 en decimal a binario.

8

¿Qué representa 1 en la posición más a la izquierda de un número binario de 4 bits?

9

¿Qué significa el dígito 0 en la base quinaria?

10

¿Cuál es la conversión de 1101₂ a decimal?

Explicación

El quinario usa la base 5, con dígitos 0-4.

El binario usa solo dos dígitos: 0 y 1.

1·2^3 + 0·2^2 + 1·2^1 + 1·2^0 = 8+0+2+1=11.

En quinario, 5^2=25 y el dígito 4 en esa posición vale 4×25=100.

4×5^1 + 0×5^0 = 20 + 0 = 20; nota corrigida: 25₅ = 2×5^1 + 5×5^0, pero 5 no es válido en quinario. Revisa la pregunta: el dígito correcto sería 24₅. Ajuste: 25₅ no es válido; reemplazo por 24₅.

La base decimal es 10, dígitos 0-9.

7 = 4+2+1 = 111₂.

En 4 bits, la izquierda es 2^3 = 8.

0 significa ausencia de valor en esa posición de potencia.

1·2^3 +1·2^2 +0·2^1 +1·2^0 = 8+4+0+1=13.

 
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