Convert binary 0111 to its decimal equivalent.

Convert binary 0111 to its decimal equivalent.

• A. 3
• B. 5
• C. 7
• D. 9

Answer: (C)

To convert a binary number to its decimal equivalent, you need to understand the place values that each digit represents, based on powers of 2. In the case of the binary number 0111, we proceed as follows: - Starting from the rightmost digit, the first '1' has a place value of \(2^0\) (which is 1). - The second '1' to the left has a place value of \(2^1\) (which is 2). - The next digit '1' has a place value of \(2^2\) (which is 4). - The leftmost digit '0' has a place value of \(2^3\) (which is 8), but since it is '0', it contributes nothing to the total. Thus, we simply add up the values of the '1' bits: - \(0 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 0 + 4 + 2 + 1 = 7\). Hence, the binary number 0111 converts to the decimal number 7, confirming the answer as correct. This method of

To convert a binary number to its decimal equivalent, you need to understand the place values that each digit represents, based on powers of 2. In the case of the binary number 0111, we proceed as follows:

• Starting from the rightmost digit, the first '1' has a place value of (2^0) (which is 1).

• The second '1' to the left has a place value of (2^1) (which is 2).

• The next digit '1' has a place value of (2^2) (which is 4).

• The leftmost digit '0' has a place value of (2^3) (which is 8), but since it is '0', it contributes nothing to the total.

Thus, we simply add up the values of the '1' bits:

• (0 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 0 + 4 + 2 + 1 = 7).

Hence, the binary number 0111 converts to the decimal number 7, confirming the answer as correct. This method of