Questions: Subtract the number 224 from the number 211₄.

Solution Steps

To solve this problem, we need to first convert the base-4 number \(211_4\) to its decimal (base-10) equivalent. Then, we subtract 224 from this decimal number. Finally, we can output the result.

To convert the base-4 number \(211_4\) to decimal, we use the formula: \[ 211_4 = 2 \cdot 4^2 + 1 \cdot 4^1 + 1 \cdot 4^0 \] Calculating each term: \[ = 2 \cdot 16 + 1 \cdot 4 + 1 \cdot 1 = 32 + 4 + 1 = 37 \] Thus, \(211_4\) in decimal is \(37\).

Next, we subtract \(224\) from the decimal equivalent of \(211_4\): \[ 37 - 224 = -187 \]

Final Answer