Convert 63 to 7-bit binary.

April 12, 2026Computer Science

ScanSolve AI Answer

April 12, 2026

Answer

0111111_2$$

Step 1: Convert 63 to 7-bit binary. $63_{10} = 0111111_2$

Step 2: Convert -64 to 7-bit two's complement. The range for 7-bit two's complement is $-2^{7-1}$ to $2^{7-1}-1$ , which is $-64$ to $63$ . The number $-64$ is represented directly as $1000000_2$ .

Step 3: Add the two binary numbers.

  0111111  (63)
+ 1000000  (-64)
---------
  1

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Quick Answer

Convert 63 to 7-bit binary. 63_10 = 0111111_2 Step 2: Convert -64 to 7-bit two's complement.

Asked on April 12, 2026Computer Science

This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

ScanSolve AI AnswerAnswered on April 12, 2026

Step 1: Convert 63 to 7-bit binary. 63_10 = 0111111_2 Step 2: Convert -64 to 7-bit two's complement. The range for 7-bit two's complement is -2^7-1 to 2^7-1-1, which is -64 to 63. The number -64 is represented directly as 1000000_2. Step 3: Add the two binary numbers. ` 0111111 (63) + 1000000 (-64) --------- 1