Name: ____________________ Student #:______________ Section: __ Assignment
#:_
2.3b Convert the hexadecimal number 3D7 to decimal:
Work:
3 x 16 x 16 = 3 x 256 =
768
D x 16 = 13 x 16 =
208
7 x 1 = _____7
983
Answer:____983____________
2.7d Multiply the following hexadecimal numbers:
Work
2 E 2 6
x
F 7
----------1 4 3 0 A
2 B 4 3 A
----------2 C 8 6 A A
Answer:____ 2 C 8
6 A A __
2.8c Add the following binary numbers:
Work
11010011
+
10001010
-----------101011101
Answer:___ 101011101_____
2.10a Perform the following binary divisions:
Work:
101000100.1
10 )1010001001.0
10
10
10
10
10
10
10
Answer:_ 101000100.1
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Name: ____________________ Student #:______________ Section: __ Assignment
#:_
2.13b. Using the division method, convert 602610 to hexadecimal
Work:
16 )6026
16 ) 376
A
16 ) 23
8
16 )
1
7
16 )
0
1
Answer:__178A_____________
2.15a. Using the multiplication method convert 11000101001000012 to decimal.
Work:
1x215=
32768
14
1x2 =
16384
13
0x2 =
0x212=
0x211=
1x210=
1024
9
0x2 =
1x28=
256
7
0x2 =
0x26=
1x25=
32
0x24=
0x23=
0x22=
0x21=
1x20=
1
50465
Answer:___50465___________
2.16b. Convert 11111111111100012 directly to hexadecimal (hint: make groups of 4
bits).
Work:
1111 1111 1111 0001
F
F
F
1
Answer:____FFF1_________
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Name: ____________________ Student #:______________ Section: __ Assignment
#:_
2.25b. Convert the decimal number 0.3333 to binary. If the answer has a recurring
representation, then stop at four hexadecimal digits. [note there was typo here, should
have been convert to hex rather than binary.]
Work:
0.3333
x
2
0.6666
x
2
1.3332
x
2
0.6664
x
2
1.3328
x
2
0.6656
x
2
1.3312
x
2
0.6624
x
2
1.3248
Answer:_0.01010___________
Or if they did the conversion to hex:
0.3333
x
16
5.3328
x
16
x
16
x
16
x
16
x
16
x
16
x
16
x
16
5.3248
5.1968
3.1488
2.3808
6.0928
1.4848
7.7568
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Name: ____________________ Student #:______________ Section: __ Assignment
#:_
12.1088
Answer:_0.55532617C_________
2.27a Convert 27.625 from decimal to binary and then to hexadecimal
Work:
27.625 = 27 + 0.625
convert 27: 11011
0.627: 0.1010
So 27.625 is 11011.1010 binary
Group into 4’s for hex:
1 1011. 1010: 1B.A
Binary Answer:__ 11011.1010_____
Hexadecimal Answer:_ 1B.A _____________
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