What is the decimal equivalent of the binary number 10011001?

What is the decimal equivalent of the binary number 10011001?

• A. 99
• B. 153
• C. 128
• D. 201

Answer: (B)

To convert the binary number 10011001 to its decimal equivalent, we start by understanding the place values of each bit in the binary system, which are powers of 2. The binary number 10011001 can be broken down as follows: - The leftmost bit is the 1's place (2^0), then the 2's place (2^1), the 4's place (2^2), the 8's place (2^3), the 16's place (2^4), the 32's place (2^5), the 64's place (2^6), and then the 128's place (2^7). Now, we assign values to each bit according to its position: - The bit at the 128's place (2^7) is 1, totaling 128. - The bit at the 64's place (2^6) is 0, contributing 0. - The bit at the 32's place (2^5) is 0, contributing 0. - The bit at the 16's place (2^4) is 1, contributing 16. - The bit at the 8's place (

To convert the binary number 10011001 to its decimal equivalent, we start by understanding the place values of each bit in the binary system, which are powers of 2. The binary number 10011001 can be broken down as follows:

• The leftmost bit is the 1's place (2^0), then the 2's place (2^1), the 4's place (2^2), the 8's place (2^3), the 16's place (2^4), the 32's place (2^5), the 64's place (2^6), and then the 128's place (2^7).

Now, we assign values to each bit according to its position:

• The bit at the 128's place (2^7) is 1, totaling 128.

• The bit at the 64's place (2^6) is 0, contributing 0.

• The bit at the 32's place (2^5) is 0, contributing 0.

• The bit at the 16's place (2^4) is 1, contributing 16.

• The bit at the 8's place (