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emmainna [20.7K]
3 years ago
14

3102 base 4 to base 2 *show work please*

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0
3102 base4 = 3x4^3+ 1x4^2 + 2x1 = 3x64 + 1x16 + 2 = 210 base10
The powers of 2 are 2, 4, 8, 16, 32, 64, 128, 256
210 = 128 + 64 + 16 + 2 = 2^7 + 2^6 + 2^4 + 2^1 = 11010010 base2

A faster method is to each digit in base 4 to two digits in base 2
3 base4 = 11 base2
1 base4 = 01 base2
0 base4 = 00 base2
2 base4 = 10 base2
So 3102 base4 = 11010010 base2

If you wanted to convert base 4 to (say) base 5 you would need the first method and convert to base 10 first
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Sin = opposite/hypothenuse
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Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse

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3 years ago
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8_murik_8 [283]

Answer: 91.71%

Step-by-step explanation:

146 is 91.708542713568% of 159.2.

Steps:

146 ÷ 159.2 = 0.91708542713568 = 91.708542713568%

Simply

91.71

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