Convert Decimal to Binary
Essay by atien • December 6, 2018 • Coursework • 1,559 Words (7 Pages) • 1,017 Views
ASM 551
OFFICE NETWORKING & TELECOMMUNICATION SYSTEM
ASSIGNMENT 1: BINARY SYSTEM
NAME: NURUL FATIN BINTI BORAGI CLASS: NBS7B
MATRIX NO: 2017614412 LECTURE: DR. NAFFISAH MOHD HASSAN
1. Convert the following decimal numbers to binary:
[pic 1]
- 27 (16+8+2+1) = 11011[pic 2]
27-16=11 11-8=3 3-2=1 1-1=0
32 16 8 4 2 1[pic 3][pic 4][pic 5][pic 6][pic 7] 1 1 0 1 1 |
- 75 (64 + 8 + 2 + 1) = 1001011[pic 8]
75-64=11 11-8=3 3-2=1 1-1=0
64 32 16 8 4 2 1[pic 9][pic 10][pic 11][pic 12][pic 13][pic 14][pic 15] 1 0 0 1 0 1 1 |
- 164 (128 + 32 + 2 + 1[pic 16]
164-128=36 36-32=4 4-2=2 2-1=1
128 64 32 16 8 4 2 1[pic 17][pic 18][pic 19][pic 20][pic 21][pic 22][pic 23][pic 24]
- 255 (128 + 64 + 32 + 16 + 8 + 4 + 2 + 1) = 11111111[pic 25]
255-128=127 127-64=63 63-32=31 31-16=15 15-8=7 7-4=3 3-2=1 1-1=0
128 64 32 16 8 4 2 1[pic 26][pic 27][pic 28][pic 29][pic 30][pic 31][pic 32][pic 33] 1 1 1 1 1 1 1 1 |
2. Express the binary numbers below in the decimal number system.
- 111 8[pic 34]
22 21 20[pic 35] [pic 36][pic 37] 1 1 1 |
22 + 21 +20 = 4+2+0 = 8
- 1011 10[pic 38]
23 22 21 20[pic 39][pic 40][pic 41][pic 42] 1 0 1 1 |
23 + 21 + 20 = 8 + 2 = 10
- 1000 8[pic 43]
23 22 21 20[pic 44][pic 45][pic 46][pic 47] 1 0 0 0 |
23 = 8
- 10010 18[pic 48]
24 23 22 21 20[pic 49][pic 50][pic 51][pic 52][pic 53] 1 0 0 1 0 |
24 + 21 = 16 + 2 = 18
3. Express the hexadecimal numbers below in decimal notation.[pic 54][pic 55]
- E2 = 2 + 224 = 226
DIVISION | RESULT |
2 X 1 | 2 |
E X (16 X 14) | 224 |
ANSWER | 226 |
- 987 = 7 + 128 + 2304 = 2439
DIVISION | RESULT |
7 X 160 | 7 |
8 X 161 | 128 |
9 X 162 | 2304 |
ANSWER | 2439 |
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