Computers and Technology, 25.08.2020 17:01 majesticfart7736

What is the result if you add two decimal numbers (45+216), expressed in binary using 8-bit unsigned precision?

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Answer from: helpsos8028

261

Explanation:

Adding up two decimal numbers ( 45 + 216 ) expressed in binary using 8-bit unsigned precision

first we express the decimal numbers in 8-bit unsigned precision :

45 = 32 + 8 + 4 + 1 = 2^5 + 2^3 + 2^2 + 2^0 = 00101101

216 = 2^7 + 2^6 + 2^4 + 2^3 = 11011000

Adding the numbers together = 00101101

+ 11011000

= 100000101 = 261 ( an overflow occurred )

note : The maximum value that can be expressed with 8-bit unsigned precision is = 2^8 - 1 = 256

Answer from: Quest

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Answer from: Quest

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