NUMBER REPRESENTATIONS

The range of the numbers which can be stored in an eight bit register is

• -128 to+128

• -128 to + 127

• -8 to +8

• -999999++999999

2's complement is used to represent signed integers, especially ..................... integers.

• Negative

• Positive

• decimal

• None of these

What is used to represent the signed magnitude?

• LSB

• MSB

• Both LSB and MSB

• None of the above

Why is the decimal number system is also called as positional number system?

• Since the values of the numbers are decided by multiplying the values.

• Since the values of the numbers are decided by the weight of the values.

• Since the values of the numbers are decided by adding the values.

• Since the values of the numbers are decided by position of the values.

Adding in binary, the decimal values 26 + 27 will produce a sum of:

• 111010

• 110110

• 110101

• 101011

Adding the two’s complement of –11 + (–2) will yield which two’s complement answer?

• 1110 1101

• 1111 1001

• 1110 1001

• 1111 0011

Use the two’s complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

• –14 and –13; –27

• –11 and –16; –27

• –113 and –114; 227

• –27 and –13; 40

Answer explanation

1111 0010 (-14)

0000 1101

+ 1

0000 1110 (+14)

1111 0011 (-13)

0000 1100

+1

0000 1101 (+13 )

1111 0010

1111 0011

1110 0101 (do 2's complement to identify the -ve value)

1110 0101 (-27)

0001 1010

+1

0001 1011 (+27)

Binary subtraction of a decimal 15 from 43 will utilize which two’s complement?

• 101011

• 011100

• 110001

• 110000

The decimal number + 122 is expressed in the 2’s complement form as

• 01111010

• 11111010

• 01000101

• 10000101

The decimal number − 34 is expressed in the 2’s complement form as

• 01011110

• 10100010

• 11011110

• 01011101