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Answer :
To determine the number of bits needed to represent a decimal number in binary, you can use the logarithm base 2. The formula is:
Number of bits = ⌈log₂(N)⌉
a) For 2654:
Number of bits = ⌈log₂(2654)⌉ = ⌈11.378⌉ = 12 bits
b) For 64:
Number of bits = ⌈log₂(64)⌉ = ⌈6⌉ = 6 bits
c) For 250:
Number of bits = ⌈log₂(250)⌉ = ⌈7.965⌉ = 8 bits
d) For 10000:
Number of bits = ⌈log₂(10000)⌉ = ⌈13.287⌉ = 14 bits
Therefore:
a) 2654 requires 12 bits.
b) 64 requires 6 bits.
c) 250 requires 8 bits.
d) 10000 requires 14 bits.
Learn more about logarithm here : brainly.com/question/13440446
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