Question

Why are magnetic devices considered as effective means of repre- senting the binary values?

How many bits are required to uniquely represent each of the following?

a. 4 items

b. 16 items

c. 32 items

d. 128 items

e. 512 items

f. 2048 items

Assuming there are 366 days in a year, how many bits would be needed to store each day of the year? Why?

Answer 1

We need bits(where the operation represents the least integer greater than x) to represent any range of numbers where n is the maximum value Because with each bit the values that can be expressed increase by a factor of 2 i.e with 1 bit we can represent 2 values with 2 bits we can represent 4 values and 3 bits = 8 values we need.

So for 366, we need

For the others similarly the answers will be

a) we need 2 bits

b) 4 bits

c) 5 bits

d) 7 bits

e) 9 bits

f) 11 bits

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