110000100100
The binary number **110000100100** represents a specific value in the base-2 numeral system. To understand its decimal equivalent, we can expand it by multiplying each bit by 2 raised to the power of its position index, starting from 0 on the right. Here, the number has 12 bits, so the calculation proceeds as follows:
Starting from the leftmost bit (position 11) to the rightmost (position 0), the value is calculated as:
(1 × 2¹¹) + (1 × 2¹⁰) + (0 × 2⁹) + (0 × 2⁸) + (0 × 2⁷) + (0
2048 + 1024 + 0 + 0 + 0 + 0 + 0 + 16 + 0 + 0 + 2 + 0 = 3088
Thus, **110000100100** in binary equals **3088 in decimal**.
In computing, this value is significant in various contexts. For example, it may represent a memory address,
Additionally, **3088** in decimal can be expressed in other bases, such as hexadecimal (0x7BC) or octal (7440),