What is the decimal value of the binary number 1101 1100?

What is the decimal value of the binary number 1101 1100?

• A. 180
• B. 220
• C. 240
• D. 200

Answer: (B)

To convert the binary number 1101 1100 into its decimal form, you can assign powers of 2 to each digit, starting from the rightmost bit (which is the least significant bit) and moving to the left (which is the most significant bit). Each binary digit represents a power of 2, depending on its position. Starting with the binary number 1101 1100: - From right to left, the bits represent: - 0 × 2^0 = 0 - 0 × 2^1 = 0 - 1 × 2^2 = 4 - 1 × 2^3 = 8 - 1 × 2^4 = 16 - 0 × 2^5 = 0 - 1 × 2^6 = 64 - 1 × 2^7 = 128 Next, you can sum these values: 0 + 0 + 4 + 8 + 16 + 0 + 64 + 128 = 220. Therefore, the decimal value of the binary number 1101 1100 is 220, making this

To convert the binary number 1101 1100 into its decimal form, you can assign powers of 2 to each digit, starting from the rightmost bit (which is the least significant bit) and moving to the left (which is the most significant bit). Each binary digit represents a power of 2, depending on its position.

Starting with the binary number 1101 1100:

• From right to left, the bits represent:

• 0 × 2^0 = 0

• 0 × 2^1 = 0

• 1 × 2^2 = 4

• 1 × 2^3 = 8

• 1 × 2^4 = 16

• 0 × 2^5 = 0

• 1 × 2^6 = 64

• 1 × 2^7 = 128

Next, you can sum these values:

0 + 0 + 4 + 8 + 16 + 0 + 64 + 128 = 220.

Therefore, the decimal value of the binary number 1101 1100 is 220, making this