Q1. What is the value represented by the bit string 101101 if: (a) it is in sign

Question

Q1. What is the value represented by the bit string 101101 if: (a) it is in sign-and-magnitude representation? (b) it is in 1's complement representation? (c) it is in 2's complement representation?

Q2. Negate the following binary numbers in 4-bit 2's complement representation: (Remark: Negate means you find the negative of the number.)

(a) 0001

(b) 1010

(c) 1001

Q3. How large a value can be represented by each of the unsigned binary quantities?

(a) A 6-bit quantity.

(b) A 10-bit quantity.

(c) A 16-bit quantity.

Explanation / Answer

1)

a)sign magnitude

-13

b)1's complement

-18

c)2's complement

-19

2)

a)1111

b)0110

c)0111

3)

a)(2^6)-1=63

b)(2^10)-1=1023

c)(2^16)-1=65535

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