What is the decimal equivalent of the binary number 0010011?

To find the decimal equivalent of the binary number 0010011, it is essential to understand how binary numbers are structured. Each digit in a binary number represents a power of 2, starting from the rightmost digit (which is the least significant bit).

In the binary number 0010011, we can break it down as follows:

• The rightmost digit represents (2^0) (which is 1).
• The second digit from the right represents (2^1) (which is 2).
• The third digit represents (2^2) (which is 4).
• The fourth digit represents (2^3) (which is 8).
• The fifth digit represents (2^4) (which is 16).
• The sixth digit represents (2^5) (which is 32).
• The leftmost digit represents (2^6) (which is 64).

Now, looking at the binary number 0010011, we only have 1s in the positions for (2^1) (2) and (2^4) (16). Therefore, we calculate:

• The contribution from (2^1) is