Question

43 base five to base seven

Answer 1

First convert to decimal:


`43_5=4\cdot5^1+3\cdot5^0=20+3=23`

Now convert this to base 7:


`\frac{23}7=3+\frac27`

`\frac27=0+\frac27`

`\implies23=43_5=32_7`