I have got -1.101 1100 1011 1010 1001 1000 * 2^(9)
How can I convert this to decimal form?
2026-03-26 12:40:38.1774528838
How would you convert the following 32-bit IEEE floating-point to decimal form?
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multiplying by $2^9$ gets you $-101 1100 10.1010011000$ in binary. Hence you want is minus $2^{10}+2^8+2^7+2^6+2+\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^6}+\frac{1}{2^7}=1474.64920594$.
Final answer is then: $-1474.64920594$