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Give the range of numbers that can be represented in two's complement given n bits. Using 7 bits, add 63 and -64 in 2's complement.

April 14, 2026Computer Science

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1.a) i) Give the range of numbers that can be represented in two's complement given n bits.
The range of numbers that can be represented in $n$ bits using two's complement is from $-2^{n-1}$ to $2^{n-1} - 1$ .

1.a) ii) Using 7 bits, add 63 and -64 in 2's complement.

Convert $63_{10}$ to 7-bit binary.
$63_{10} = 0111111_2$
Convert $-64_{10}$ to 7-bit two'

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Give the range of numbers that can be represented in two's complement given n bits. Using 7 bits, add 63 and -64 in 2's complement.

Step-by-step solution

Convert 631063_{10}6310​ to 7-bit binary.

Convert −6410-64_{10}−6410​ to 7-bit two'

Still stuck on this one?

More Computer Science Questions

Convert $63_{10}$ to 7-bit binary.

Convert $-64_{10}$ to 7-bit two'