Convert the following base 2 numeral to a base 10 numeral: 1110011

To convert the binary number 1110011 to decimal (base 10), we need to understand how binary numbers work. 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 1110011, we can break it down as follows:

• 1 × 2⁶ = 1 × 64 = 64
• 1 × 2⁵ = 1 × 32 = 32
• 1 × 2⁴ = 1 × 16 = 16
• 0 × 2³ = 0 × 8 = 0
• 0 × 2² = 0 × 4 = 0
• 1 × 2¹ = 1 × 2 = 2
• 1 × 2⁰ = 1 × 1 = 1

Now, we simply add these values together:

64 + 32 + 16 + 0 + 0 + 2 + 1 = 115

Thus, the binary number 1110011 converts to 115 in decimal (base 10).