To convert the number (134_5) from base 5 to a denary (decimal) base, we need to expand it using the positional values of base 5.
The number (134_5) can be expanded as follows:
[tex]134_5 = 1 \cdot 5^2 + 3 \cdot 5^1 + 4 \cdot 5^0[/tex]
Now, calculate each term:
[tex]1.) (1 \cdot 5^2 = 1 \cdot 25 = 25)[/tex]
[tex]2. (3 \cdot 5^1 = 3 \cdot 5 = 15)[/tex]
[tex]3. (4 \cdot 5^0 = 4 \cdot 1 = 4)[/tex]
Add these values together:
[tex]25 + 15 + 4 = 44 [/tex]
.
[tex] \text{Therefore,} (134_5) in base 5 is equal to (44_{10}) in denary (decimal) base[/tex]
