Homework Sourse1 Perform the following number system conversions a 4678 10
1. Perform the following number system conversions: a. (467)8 = (?)10 ________________________ b. (EA02.3)16 = (?)2 ________________________ c. (212.375)10 = (?)2
Solution
A) (467)8 = ( )10
the Decimal equivalent for (467)8 = (723)10
B. (EA02.3)16 = (?)2
The binary equivalent for the Hexa Decimal number is writing 4 bits for each hexa decimal number
E A 0 2 . 3
1110 1010 0000 0010 . 0011
(EA02.3)16 = (1110101000000010.0011)2
C). (212.375)10 = (?)2
First find the binary number for 212
2
The binary equivalent for (212)10 = (11010100)2
Now the binary equivalent for (.375)10 = (?)2
Remainder binary number
.375 X 2 = 0.750 ---------- 0
.750 X 2 = 1.500 ---------- 1
.500 X 2 = 1.000 ---------- 1
Now read down, The binary equivalent for (.375)10 = (.011)2
therefore (212.375)10 = (11010100.011)2
| 8 | 467 | Remainder |
| 8 | 58 | 3 |
| 8 | 7 | 2 |
| 0 | 7 |
