Homework Sourse1 Convert your number used in question 2 which is 4223 to ba
1. Convert your number used in question 2 which is 42.23, to base 5, with the fractional part accurate to three ‘base 5’ places. Check your answer by converting it back to decimal.
Please show working out
Solution
Required calculation
42 to base 5
42/5 Quotient-8 Remainder 2
8/5 Quotient-1 Remainder 3
Result (42)10=(132)5
Verification
(132)5
1*52+3*51+2*50=25+15+2=42
0.23*5
1.15
0.15*5
0.75
0.75*5
3.75
Get the above highlighted value-103
(.23)10=(.103)5
Required Result: (42.23)10=(132.103)5
| 42(base value) | .23(fractional value) |
| 42 to base 5 42/5 Quotient-8 Remainder 2 8/5 Quotient-1 Remainder 3 Result (42)10=(132)5 Verification (132)5 1*52+3*51+2*50=25+15+2=42 | 0.23*5 1.15 0.15*5 0.75 0.75*5 3.75 Get the above highlighted value-103 (.23)10=(.103)5 |
