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6. Do the following conversions (Decimal to Octal and Hexadecimal):

1. [tex]\((8980)_{10}=\)[/tex]
2. [tex]\((4956)_{10}=\)[/tex]
3. [tex]\((1286)_{10}=\)[/tex]
4. [tex]\((139)_{10}=\)[/tex]

Sagot :

GinnyAnsweridn
Sure, let's convert the given decimal numbers to both octal and hexadecimal:

1. Convert [tex]\( 8980 \)[/tex] to Octal and Hexadecimal:
- Octal: The octal (base-8) representation of [tex]\( 8980 \)[/tex] is [tex]\( 21424_8 \)[/tex].
- Hexadecimal: The hexadecimal (base-16) representation of [tex]\( 8980 \)[/tex] is [tex]\( 2314_{16} \)[/tex].

2. Convert [tex]\( 4956 \)[/tex] to Octal and Hexadecimal:
- Octal: The octal (base-8) representation of [tex]\( 4956 \)[/tex] is [tex]\( 11534_8 \)[/tex].
- Hexadecimal: The hexadecimal (base-16) representation of [tex]\( 4956 \)[/tex] is [tex]\( 135C_{16} \)[/tex].

3. Convert [tex]\( 1286 \)[/tex] to Octal and Hexadecimal:
- Octal: The octal (base-8) representation of [tex]\( 1286 \)[/tex] is [tex]\( 2406_8 \)[/tex].
- Hexadecimal: The hexadecimal (base-16) representation of [tex]\( 1286 \)[/tex] is [tex]\( 506_{16} \)[/tex].

4. Convert [tex]\( 139 \)[/tex] to Octal and Hexadecimal:
- Octal: The octal (base-8) representation of [tex]\( 139 \)[/tex] is [tex]\( 213_8 \)[/tex].
- Hexadecimal: The hexadecimal (base-16) representation of [tex]\( 139 \)[/tex] is [tex]\( 8B_{16} \)[/tex].

So, the final results are:

1. [tex]\( 8980_{10} \)[/tex] = [tex]\( 21424_8 \)[/tex] (octal) = [tex]\( 2314_{16} \)[/tex] (hexadecimal)
2. [tex]\( 4956_{10} \)[/tex] = [tex]\( 11534_8 \)[/tex] (octal) = [tex]\( 135C_{16} \)[/tex] (hexadecimal)
3. [tex]\( 1286_{10} \)[/tex] = [tex]\( 2406_8 \)[/tex] (octal) = [tex]\( 506_{16} \)[/tex] (hexadecimal)
4. [tex]\( 139_{10} \)[/tex] = [tex]\( 213_8 \)[/tex] (octal) = [tex]\( 8B_{16} \)[/tex] (hexadecimal)
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