In the binary system, each digit represents a power of 10.

Question

BlackTom AI · Accepted Answer

Here is a careful look at each statement in turn.
Option 1: 'True' — Claiming that in the binary system, each digit represents a power of 10 is incorrect. In binary, each digit (bit) represents a power of 2, not 10. The positions from right to left correspond to 2^0, 2^1, 2^2, etc., which determines the value of the entire binary number when summed with the bit values.
Option 2: 'False' — This statement correctly contradicts the nature of the binary system. The base of binary is 2, so every place value is a power of 2, not a power of 10. Confusion with decimal notation (where digits represent powers of 10, i.e., 10^0, 10^1, 10^2, etc.) is what leads to the incorrect claim in Option 1. 
To recap the core idea: base-2 numbers expand as sum of bits times powers of 2, whereas the decimal system expands as sum of digits times powers of 10. The assertion in Option 1 conflates these two distinct positional numeral systems, which is the conceptual error here.

CSE-110-OD25-27 2.1: Lesson and Knowledge Check - Study Hall Video Episode 2

In the binary system, each digit represents a power of 10.

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