Quiz 1.1

Number2 Number10

000101011111111101111111

Convert the following unsigned binary numbers to their decimal equivalent:

Quiz 1.2

Number10

What is the decimal number represented by the following binary digits?

101112

(unsigned)

(sign magnitude)

(1's complement)

(2's complement)

1. Fill in the 3 boxes using the appropriate data type arithmetic:

2. What data type uses the same arithmetic logic as an unsigned integer?

3. Which data type has the simplest arithmetic logic?

Quiz 1.3

00100110+11101101

Signed-Magnitude 1’s Complement 2’s Complement

00100110+11101101

00100110+11101101

Quiz 1.4

Number10 Binary (2’s complement)

5123-35

Convert the following decimal numbers to their 8-bit, 2’s complement binary number equivalent:

Nam

e___________________

Sectio

n_______

Quiz 1.5 – FP to Decimal

1. What is the decimal equivalent of the following signed, 16-bit (8 bit fraction), fixed point number?

Fractional PartIntegral Part

0000110111101000

2-82-72-62-52-42-32-22-120212223242526-27

=

2. What is the decimal equivalent of the following 32-bit floating point number?

1 10000011 11000000000000000000000 =

s exponent fraction

1 8 23

N = -1s 1.fraction 2(exponent – 127)

Quiz 1.6 – Decimal to FP

Fractional PartIntegral Part

2-102-92-82-72-62-52-42-32-22-12021222324-25

1. Convert the following decimal number to a 2’s complement, 16-bit (10 bit fraction) fixed point number.

-25.8125 =

2(exponent – 127) (1).Fraction

2. What is the IEEE 754 binary floating point equivalent of the following decimal number?

-37.375 =

HINT: 0.8125 = 1/2 + 1/4 + 1/16)

HINT: 0.375 = 1/4 + 1/8)

Quiz 1.7

00000110 (signed magnitude)

+ 10001101 (signed magnitude)

(signed magnitude)

(1’s complement)

+ 00000010 (1’s complement)

(1’s complement)

(2’s complement)

+ 00100101 (2’s complement)

(2’s complement)

(decimal10)