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Given the 8-bit binary code 10011011, what is the equivalent decimal value?

101
155
256
83
634

User WSC
by
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1 Answer

5 votes

Answer:

The binary number 10011011 is equivalent to the the decimal number 155.

Step-by-step explanation:

You can solve this by looking at each bit as a multiple of a power of two, starting at 2⁷ and descending:

10011011 ≡ 1 × 2⁷ + 0 × 2⁶ + 0 × 2⁵ + 1 × 2⁴ + 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰

= 128 + 16 + 8 + 2 + 1

= 155

User Heestand XYZ
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