### Quizzes

```Quiz 1.1
Convert the following unsigned binary
numbers to their decimal equivalent:
Number2
00010101
11111111
01111111
Number10
Quiz 1.2
What is the decimal number represented
by the following binary digits?
Number10
(unsigned)
101112
(sign magnitude)
(1's complement)
(2's complement)
Quiz 1.3
1. Fill in the 3 boxes using the appropriate data type
arithmetic:
Signed-Magnitude
00100110
+ 11101101
1’s Complement
00100110
+ 11101101
2’s Complement
00100110
+ 11101101
2. What data type uses the same arithmetic logic as an
unsigned integer?
3. Which data type has the simplest arithmetic logic?
Convert the following decimal numbers to
their 8-bit, 2’s complement binary number
equivalent:
Number10
5
123
-35
Binary (2’s complement)
Name___________________
Section_______
Quiz 1.4
Quiz 1.5 – FP to Decimal
1. What is the decimal equivalent of the following signed,
16-bit (8 bit fraction), fixed point number?
-27 26 25 24 23 22 21 20 2-1 2-2 2-3 2-4 2-5 2-6 2-7 2-8
0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0
Integral Part
2.
=
Fractional Part
What is the decimal equivalent of the following 32-bit
floating point number?
1 10000011 11000000000000000000000 =
1
8
s exponent
23
fraction
N = -1s  1.fraction  2(exponent – 127)
Quiz 1.6 – Decimal to FP
1. Convert the following decimal number to a 2’s
complement, 16-bit (10 bit fraction) fixed point number.
-25 24 23 22 21 20 2-1 2-2 2-3 2-4 2-5 2-6 2-7 2-8 2-9 2-10
-25.8125 =
Integral Part
Fractional Part
HINT: 0.8125 = 1/2 + 1/4 + 1/16)
2.
What is the IEEE 754 binary floating point equivalent
of the following decimal number?
-37.375 =
2(exponent – 127)
(1).Fraction
HINT: 0.375 = 1/4 + 1/8)
Quiz 1.7
00000110
+ 10001101
(signed magnitude)
(signed magnitude)
(signed magnitude)
+ 00000010
(1’s complement)
(1’s complement)
(1’s complement)
+ 00100101
(2’s complement)
(2’s complement)
(2’s complement)
(decimal10)
```