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# Two's Complement Binary to Decimal conversion

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I need assistance in answering the following question:

What is the decimal value of "01111111111111111101111111111102" (in two's complement)?

https://brainmass.com/computer-science/algorithms/twos-complement-binary-decimal-conversion-515811

#### Solution Preview

Consider a binary number consisting of N+1 bits, specified as below:
bN ... b2 b1 b0

It's decimal equivalent (considering it in two's complement representation) would be computed as shown ...

#### Solution Summary

Solution first considers a binary number consisting of N+1 bits, bN ... b2 b1 b0, and shows how its equivalent decimal value can be computed.

\$2.19

## Data Conversion (8-bits to decimal)

Q1) Using 5 bits to represent each number, write the representation of 7 and -7 in 1's complement, signed magnitude, and 2's complement integers.

Q2)Write the 6-bit 2's complement representation of -32.

Q3) Convert these decimal numbers to 8-bit 2's complement binary numbers
a. 102 b. 64 c. 33 d. -128 e. 127

Q4)If the last digit of a 2's complement binary number is 0, then the number is even. If the last two digits of a 2's complement binary number are 00 (e.g., the binary number 01100), what does that tell you about the number?

Q5 )without changing their values convert the following 2's complement binary numbers into 8-bit 2's complement numbers.
a. 1010 b. 011001 c. 1111111000 d. 01

Q6) Create table showing the decimal value of all 4-bit 2's complement numbers

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