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tensa zangetsu [6.8K]
3 years ago
12

What is the minimum number of bits needed to store the decimal value 200?

Computers and Technology
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

8 bits

Explanation:

Given

Decimal Value = 200

Required

Determine minimum number of bits to store the value

Represent the decimal value with N and the number of bits with n

The relationship between n and N is:

2^n = N

Substitute 200 for N

2^n = 200

Take Log of both sides

Log2^n = Log200

Apply law of indices

nLog2 = Log200

Make n the subject

n = \frac{Log200}{Log2}

n = 7.64385618977

We need n to be an integer; So, we have to approximate

n = 8

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