Questions: Convert -1210 to binary using the Excess 127 system.

Transcript text: Convert $-12_{10}$ to binary using the Excess 127 system.

Solution

To convert a decimal number to binary using the Excess 127 system, follow these steps:

Step 1: Add 127 to the Given Decimal Number

To convert $-12_{10}$ to binary using the Excess 127 system, we first add 127 to the given decimal number: \[ -12 + 127 = 115 \]

Step 2: Convert the Excess Value to an 8-bit Binary Number

Next, we convert the excess value (115) to an 8-bit binary number: \[ 115_{10} = 01110011_2 \]

$\boxed{01110011}$

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