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Answer» Q 6 (i) (1101)2 = (13)10(ii) (25)10 = (11001)2 Explanation:Step 1: Write down the binary NUMBER: 1101Step 2: Multiply each DIGIT of the binary number by the corresponding power of two: 1x2^3 + 1x2^2 + 0x2^11 + 1x2^0Step 3: Solve the powers: 1x8 + 1x4 + 0x2 + 1x1 = 8 + 4 + 0 + 1Step 4: Add up the numbers written above: 8 + 4 + 0 + 1 = 13. This is the DECIMAL equivalent of the binary number 1101.Q6 (ii)Step 1: DIVIDE (25)10 successively by 2 until the quotient is 0: 25/2 = 12, remainder is 1 12/2 = 6, remainder is 0 ↑6/2 = 3, remainder is 0 ↑3/2 = 1, remainder is 1 ↑1/2 = 0, remainder is 1 ↑ Step 2: Read from the bottom (MSB) to top (LSB) as 11001. This is the binary equivalent of decimal number 25 (Answer). |
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