To convert the binary number 001111100111 to a decimal (denary) number, follow these steps:

Step 1: Write down the binary digits and assign place values (powers of 2).

Each binary digit corresponds to a power of 2, starting from $2^0$ on the right.

The binary number is 001111100111, which we can rewrite with powers of 2:

Step 2: Multiply each binary digit by its corresponding power of 2.

• $0 \times 2^{11} = 0$
• $0 \times 2^{10} = 0$
• $1 \times 2^9 = 512$
• $1 \times 2^8 = 256$
• $1 \times 2^7 = 128$
• $1 \times 2^6 = 64$
• $1 \times 2^5 = 32$
• $0 \times 2^4 = 0$
• $0 \times 2^3 = 0$
• $1 \times 2^2 = 4$
• $1 \times 2^1 = 2$
• $1 \times 2^0 = 1$

Step 3: Add up the results.

$512 + 256 + 128 + 64 + 32 + 4 + 2 + 1 = 999$

Final Answer:

The binary number 001111100111 converts to 999 in denary (decimal).

Do you need further clarification or additional examples?

Related Questions:

1. How do you convert larger binary numbers to decimal?
2. What is the process for converting decimal numbers to binary?
3. Can you explain how to convert binary numbers with a fractional part?
4. What are octal and hexadecimal number systems, and how do they relate to binary?
5. How do you perform binary addition and subtraction?

Tip:

When converting binary to decimal, always write down the place values (powers of 2) to avoid mistakes!