Evaluate 421+12+42 in base five
12+42 = 104
421+104 = 1030
Well, let's add up these numbers in base five, shall we?
421 in base five is equal to:
(4 * 5^2) + (2 * 5^1) + (1 * 5^0)
= (4 * 25) + (2 * 5) + (1 * 1)
= 100 + 10 + 1
= 111
12 in base five is equal to:
(1 * 5^1) + (2 * 5^0)
= (1 * 5) + (2 * 1)
= 5 + 2
= 7
42 in base five is equal to:
(4 * 5^1) + (2 * 5^0)
= (4 * 5) + (2 * 1)
= 20 + 2
= 22
So, when we add them up in base five, we get:
111 + 7 + 22
= 140
Therefore, 421 + 12 + 42 in base five is equal to 140. Don't worry, no clowns were harmed during this calculation!
To evaluate 421+12+42 in base five, we can follow these steps:
Step 1: Convert the numbers to base five:
421 base ten = 3012 base five
12 base ten = 22 base five
42 base ten = 132 base five
Step 2: Perform the addition in base five:
3012
+ 22
+ 132
______
3206
Therefore, 421+12+42 in base five is equal to 3206 in base five.
To evaluate the expression 421 + 12 + 42 in base five, we need to convert the numbers to base five, perform the addition, and then convert the result back to decimal (base ten).
Step 1: Convert the numbers to base five:
421 in base five = (4 * 5^2) + (2 * 5^1) + (1 * 5^0) = 100 + 10 + 1 = 111
12 in base five = (1 * 5^1) + (2 * 5^0) = 5 + 2 = 12
42 in base five = (4 * 5^1) + (2 * 5^0) = 20 + 2 = 22
Step 2: Perform the addition in base five:
111 + 12 + 22 = 145
Step 3: Convert the result back to decimal:
145 in base five = (1 * 5^2) + (4 * 5^1) + (5 * 5^0) = 25 + 20 + 5 = 50
So, evaluating 421 + 12 + 42 in base five gives us the result 50 in decimal (base ten).