1. **Problem statement:** Convert the binary number 1011 1010 0100 0011 to its decimal equivalent when treated as a 16-bit unsigned value. 2. **Formula and rules:** For an unsigned binary number, each bit represents a power of 2 starting from the right (least significant bit) at $2^0$ to the left (most significant bit) at $2^{15}$ for a 16-bit number. 3. **Step-by-step conversion:** - Write the binary number without spaces: 1011101001000011 - Assign powers of 2 from right to left: $$\begin{aligned} &1\times 2^{15} + 0\times 2^{14} + 1\times 2^{13} + 1\times 2^{12} + 1\times 2^{11} + 0\times 2^{10} + 1\times 2^9 + 0\times 2^8 \\ +&0\times 2^7 + 1\times 2^6 + 0\times 2^5 + 0\times 2^4 + 0\times 2^3 + 0\times 2^2 + 1\times 2^1 + 1\times 2^0 \end{aligned}$$ 4. **Calculate each term:** - $1\times 2^{15} = 32768$ - $0\times 2^{14} = 0$ - $1\times 2^{13} = 8192$ - $1\times 2^{12} = 4096$ - $1\times 2^{11} = 2048$ - $0\times 2^{10} = 0$ - $1\times 2^9 = 512$ - $0\times 2^8 = 0$ - $0\times 2^7 = 0$ - $1\times 2^6 = 64$ - $0\times 2^5 = 0$ - $0\times 2^4 = 0$ - $0\times 2^3 = 0$ - $0\times 2^2 = 0$ - $1\times 2^1 = 2$ - $1\times 2^0 = 1$ 5. **Sum all values:** $$32768 + 8192 + 4096 + 2048 + 512 + 64 + 2 + 1 = 47783$$ 6. **Final answer:** The decimal equivalent of the 16-bit unsigned binary number 1011 1010 0100 0011 is **47783**.