binary number binary, octal, decimal, hexadecimal...
TRANSCRIPT
● Binary Number
Count
Range
● Binary, Octal, Decimal, Hexadecimal
Conversion
● Fraction
● Signed Binary Number
● Binary Add/Subtract
Decimal Binary
%
Hexadecimal
$
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
Binary Number
Count
Decimal Binary
%
Hexadecimal
$
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
% 1 1 0 1 = 13
Decimal Binary
%
Hexadecimal
$
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
% 1 1 0 1 = 13 = $D
Decimal Binary
%
Hexadecimal
$
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
Binary Number
Range
Binary, Octal, Decimal, Hexadecimal
Conversion
Decimal Binary
Signed
Magnitude
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 0 1000
- 1 1001
- 2 1010
- 3 1011
- 4 1100
- 5 1101
- 6 1110
- 7 1111
Signed Binary Number
Decimal Binary
Signed
Magnitude
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 0 1000
- 1 1001
- 2 1010
- 3 1011
- 4 1100
- 5 1101
- 6 1110
- 7 1111
Decimal Binary
One’s
complement
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 0 1111
- 1 1110
- 2 1101
- 3 1100
- 4 1011
- 5 1010
- 6 1001
- 7 1000
Decimal Binary
Two’s
compliment
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 1 1111
- 2 1110
- 3 1101
- 4 1100
- 5 1011
- 6 1010
- 7 1001
- 8 1000
Decimal Binary
Signed
Magnitude
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 0 1000
- 1 1001
- 2 1010
- 3 1011
- 4 1100
- 5 1101
- 6 1110
- 7 1111
Decimal Binary
One’s
complement
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 0 1111
- 1 1110
- 2 1101
- 3 1100
- 4 1011
- 5 1010
- 6 1001
- 7 1000
Decimal Binary
Two’s
compliment
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 1 1111
- 2 1110
- 3 1101
- 4 1100
- 5 1011
- 6 1010
- 7 1001
- 8 1000
% 1 0 1 1 = ?
Decimal Binary
Two’s
compliment
7 0111
6 0110
5 0101
4 0100
3 0011
2 0010
1 0001
0 0000
- 1 1111
- 2 1110
- 3 1101
- 4 1100
- 5 1011
- 6 1010
- 7 1001
- 8 1000
Range
Binary Number
Sign Number
Add
Subtract
Convert the following decimal numbers into
8-bit 2’s complement numbers and perform the
additions/subtractions indicated.
(+ 70)
+ (+ 60)
C=
V=
Sum Correct? Y/N
(+ 60)
+ ( - 70)
C=
V=
Sum Correct? Y/N
+70 =
+60 =
+70 = 0100 0110
-70 = 1011 1010
+60 = 0011 1100
-60 = 1100 0100
Convert the following decimal numbers into
8-bit 2’s complement numbers and perform the
additions/subtractions indicated.
(+ 70)
+ (+ 60)
C=
V=
Sum Correct? Y/N
(+ 60)
+ ( - 70)
C=
V=
Sum Correct? Y/N
Convert the following decimal numbers into
8-bit 2’s complement numbers and perform the
additions/subtractions indicated.
(- 60)
- (- 70)
C=
V=
Sum Correct? Y/N
(+ 70)
- ( - 60)
C=
V=
Sum Correct? Y/N
