Simplify (111×101)base2
To simplify (111×101) base 2, we need to multiply the two numbers in binary form:
111 base 2 = 7 base 10 = 111 in binary form
101 base 2 = 5 base 10 = 101 in binary form
Multiplying these two numbers:
111
× 101
_______
111 (this is the first partial product)
+0000 (since there is no second partial product)
_______
111 (final product)
So, (111×101) base 2 simplifies to 111 base 2.
To simplify (111×101) in base 2, we need to perform the multiplication and express the result in binary form.
First, let's perform the multiplication:
111
× 101
------
111 (Step 1: Multiply 111 by 1)
+ 000 (Step 2: Multiply 111 by 0, shifted one place to the left)
------
11111
The product of (111×101) in base 2 is 11111.