In binary numbers, how would you note the quantity TWO?

In binary numbers, how would you note the quantity TWO?

• A. 0010
• B. 0001
• C. 0011
• D. 0100

Answer: (A)

The quantity TWO in binary is noted as 0010. In binary numeral system, each position represents a power of 2, starting from the rightmost digit, which is \(2^0\). The second position from the right represents \(2^1\). To understand how binary numbers are translated to decimal values, we can analyze the digits in 0010. The rightmost digit is '0', which represents \(0 \times 2^0 = 0\). The next digit is also '1', which represents \(1 \times 2^1 = 2\). The next two digits (to the left) are both '0', contributing \(0 \times 2^2 = 0\) and \(0 \times 2^3 = 0\). Therefore, when we add these up, we have \(0 + 2 + 0 + 0 = 2\), signifying the quantity TWO. The other provided options represent different values: 0001 is equal to ONE, 0011 is equal to THREE, and 0100 is equal to FOUR. While all are valid binary representations, only 0010 accurately represents the value of TWO.

The quantity TWO in binary is noted as 0010. In binary numeral system, each position represents a power of 2, starting from the rightmost digit, which is (2^0). The second position from the right represents (2^1).

To understand how binary numbers are translated to decimal values, we can analyze the digits in 0010. The rightmost digit is '0', which represents (0 \times 2^0 = 0). The next digit is also '1', which represents (1 \times 2^1 = 2). The next two digits (to the left) are both '0', contributing (0 \times 2^2 = 0) and (0 \times 2^3 = 0). Therefore, when we add these up, we have (0 + 2 + 0 + 0 = 2), signifying the quantity TWO.

The other provided options represent different values: 0001 is equal to ONE, 0011 is equal to THREE, and 0100 is equal to FOUR. While all are valid binary representations, only 0010 accurately represents the value of TWO.